From 653905f9fa3b8f676cecc41688774c1e3b1f47f6 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Tue, 10 May 2016 14:07:18 +0000 Subject: [PATCH] psblas3: Changelog docs/html/footnode.html docs/html/img1.png docs/html/img10.png docs/html/img100.png docs/html/img101.png docs/html/img102.png docs/html/img103.png docs/html/img104.png docs/html/img105.png docs/html/img106.png docs/html/img107.png docs/html/img108.png docs/html/img109.png docs/html/img11.png docs/html/img110.png docs/html/img111.png docs/html/img112.png docs/html/img113.png docs/html/img114.png docs/html/img115.png docs/html/img116.png docs/html/img117.png docs/html/img118.png docs/html/img119.png docs/html/img12.png docs/html/img120.png docs/html/img121.png docs/html/img122.png docs/html/img123.png docs/html/img124.png docs/html/img125.png docs/html/img126.png docs/html/img127.png docs/html/img128.png docs/html/img129.png docs/html/img13.png docs/html/img130.png docs/html/img131.png docs/html/img132.png 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test/pargen/runs/ppde.inp | 2 +- 301 files changed, 16531 insertions(+), 16118 deletions(-) diff --git a/Changelog b/Changelog index 5bd5c7ac..f91ed5d1 100644 --- a/Changelog +++ b/Changelog @@ -1,5 +1,13 @@ Changelog. 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  • Preconditioner data structure +
  • Heap data structure
    -
  • Computational routines -
    • psb_geaxpby -- General Dense Matrix Sum + HREF="node49.html">Computational routines +
      -
    • Communication routines -
      • psb_halo -- Halo Data Communication + HREF="node63.html">Communication routines +
        -
      • Data management routines -
        • psb_cdall -- Allocates a communication descriptor + HREF="node68.html">Data management routines +
          -
        • Parallel environment routines -
          • psb_init -- Initializes PSBLAS parallel - environment + HREF="node96.html">Parallel environment routines +
            -
          • Error handling
          • Utilities -
              + HREF="node113.html">Error handling
            • hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format + HREF="node114.html">Utilities +
              -
            • Preconditioner routines -
              • psb_precinit -- Initialize a preconditioner + HREF="node121.html">Preconditioner routines +
                -
              • Iterative Methods -
                diff --git a/docs/html/node1.html b/docs/html/node1.html index 6477830f..49efb280 100644 --- a/docs/html/node1.html +++ b/docs/html/node1.html @@ -1,6 +1,6 @@ - - next - up - previous
                - Next: Next: Introduction - Up: Up: userhtml - Previous: Previous: userhtml

                @@ -53,58 +53,62 @@ Contents

                - + + +


                diff --git a/docs/html/node10.html b/docs/html/node10.html index 83b32fb0..b71e4ed5 100644 --- a/docs/html/node10.html +++ b/docs/html/node10.html @@ -1,6 +1,6 @@ - - next - up - previous - contents
                - Next: Next: Descriptor Methods - Up: Up: Data Structures and Classes - Previous: Previous: Data Structures and Classes -   Contents

                @@ -66,7 +66,7 @@ necessary for implementing the various algorithms of interest to us.

                The data structure itself psb_desc_type can be treated as an opaque object handled via the tools routines of -Sec. 6 or the query routines detailed below; +Sec. 6 or the query routines detailed below; nevertheless we include here a description for the curious reader. @@ -117,7 +117,7 @@ All methods but the last are purely local; the last method potentially requires communication among processes, and thus is a synchronous method. The choice of a specific dynamic type for the index map is made at the time the descriptor is initially allocated, according to -the mode of initialization (see also 6). +the mode of initialization (see also 6).

                The descriptor contents are as follows: @@ -202,12 +202,13 @@ Specified as: an allocatable integer array of rank two. The Fortran 2003 declaration for psb_desc_type structures is as follows: -

                +
                -
                Figure 3: The PSBLAS defined data type that contains the communication descriptor.
                +
                +
                 
@@ -249,54 +250,54 @@ state, which can take the following values:
 Subsections
 
 
 
 
                
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Descriptor Methods
- Up:  Up: Data Structures and Classes
- Previous:  Previous: Data Structures and Classes
-       Contents 
 
 
diff --git a/docs/html/node100.html b/docs/html/node100.html
index d33b4687..030d5dcd 100644
--- a/docs/html/node100.html
+++ b/docs/html/node100.html
@@ -1,70 +1,67 @@
 
 
-
 
 
-psb_get_rank -- Get the MPI rank
-
+psb_get_mpicomm -- Get the MPI communicator
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_wtime   Wall
- Up: Parallel environment routines
- Previous: psb_get_mpicomm   Get
-      Next: psb_get_rank   Get
+ Up: Parallel environment routines
+ Previous: psb_exit   Exit
+     Contents 
 
                
 
                
 
 
-
                
-psb_get_rank -- Get the MPI rank
+
                
+psb_get_mpicomm -- Get the MPI communicator
 
                
 
 
                
 
                -call psb_get_rank(rank, icontxt, id)
+call psb_get_mpicomm(icontxt, icomm)
 
                
 
 
                
-This subroutine returns the MPI rank of the  PSBLAS process $id$
+This subroutine returns the MPI communicator associated with a PSBLAS context
 
                
 
                Type:
                
 
                Asynchronous.
@@ -84,22 +81,6 @@ Intent: in.
 
                
 Specified as: an integer variable.
 
                
-
                id
                
-
                Identifier of a   process in the PSBLAS virtual parallel machine.
-
                
-Scope: local.
-
                
-Type: required.
-
                
-Intent: in.
-
                
-Specified as: an integer value. 
-$0 \le id \le np-1$ 
                
 
                
 
 
                
@@ -107,13 +88,10 @@ Specified as: an integer value. 
 
 
-psb_wtime -- Wall clock timing
-
+psb_get_rank -- Get the MPI rank
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_barrier   Sinchronization
- Up: Parallel environment routines
- Previous: psb_get_rank   Get
-      Next: psb_wtime   Wall
+ Up: Parallel environment routines
+ Previous: psb_get_mpicomm   Get
+     Contents 
 
                
 
                
 
 
-
                
-psb_wtime -- Wall clock timing
+
                
+psb_get_rank -- Get the MPI rank
 
                
 
 
                
 
                -time = psb_wtime()
+call psb_get_rank(rank, icontxt, id)
 
                
 
 
                
-This function returns a wall clock timer. The resolution of the timer
-is dependent on the underlying parallel environment implementation.
+This subroutine returns the MPI rank of the  PSBLAS process $id$
 
                
 
                Type:
                
 
                Asynchronous.
 
                
-
                On Exit 
                
+
                On Entry 
                
 
                
 
                
-
                Function value
                
-
                the elapsed time in seconds.
+
                icontxt
                
+
                the communication context identifying the virtual
+  parallel machine.
 
                
-Returned  as: a  real(psb_dpk_)  variable.
+Scope: global.
+
                
+Type: required.
+
                
+Intent: in.
+
                
+Specified as: an integer variable.
+
                
+
                id
                
+
                Identifier of a   process in the PSBLAS virtual parallel machine.
+
                
+Scope: local.
+
                
+Type: required.
+
                
+Intent: in.
+
                
+Specified as: an integer value. 
+$0 \le id \le np-1$ 
                
+
                
+
+
                
+
                
+
                On Return
                
+
                
 
                
+
                rank
                
+
                The MPI rank associated with the  PSBLAS process $id$.
+
                
+Scope: local.
+
                
+Type: required.
+
                
+Intent: out.
+
                
 
                
 
 
                
diff --git a/docs/html/node102.html b/docs/html/node102.html
index 18b9efbd..51e8374f 100644
--- a/docs/html/node102.html
+++ b/docs/html/node102.html
@@ -1,87 +1,79 @@
 
 
-
 
 
-psb_barrier -- Sinchronization point parallel environment
-
+psb_wtime -- Wall clock timing
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_abort   Abort
- Up: Parallel environment routines
- Previous: psb_wtime   Wall
-      Next: psb_barrier   Sinchronization
+ Up: Parallel environment routines
+ Previous: psb_get_rank   Get
+     Contents 
 
                
 
                
 
 
-
                
-psb_barrier -- Sinchronization point  parallel
-  environment
+
                
+psb_wtime -- Wall clock timing
 
                
 
 
                
 
                -call psb_barrier(icontxt)
+time = psb_wtime()
 
                
 
 
                
-This subroutine acts as an explicit synchronization point for  the  PSBLAS
-parallel virtual  machine. 
+This function returns a wall clock timer. The resolution of the timer
+is dependent on the underlying parallel environment implementation.
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
-
                On Entry 
                
+
                On Exit 
                
 
                
 
                
-
                icontxt
                
-
                the communication context identifying the virtual
-  parallel machine.
+
                Function value
                
+
                the elapsed time in seconds.
 
                
-Scope: global.
-
                
-Type: required.
-
                
-Intent: in.
-
                
-Specified as: an integer variable.
+Returned  as: a  real(psb_dpk_)  variable.
 
                
 
                
 
diff --git a/docs/html/node103.html b/docs/html/node103.html
index 5db11be1..74780711 100644
--- a/docs/html/node103.html
+++ b/docs/html/node103.html
@@ -1,70 +1,72 @@
 
 
-
 
 
-psb_abort -- Abort a computation
-
+psb_barrier -- Sinchronization point parallel environment
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_bcast   Broadcast
- Up: Parallel environment routines
- Previous: psb_barrier   Sinchronization
-      Next: psb_abort   Abort
+ Up: Parallel environment routines
+ Previous: psb_wtime   Wall
+     Contents 
 
                
 
                
 
 
-
                
-psb_abort -- Abort a computation
+
                
+psb_barrier -- Sinchronization point  parallel
+  environment
 
                
 
 
                
 
                -call psb_abort(icontxt)
+call psb_barrier(icontxt)
 
                
 
 
                
-This subroutine aborts computation on the parallel virtual machine. 
+This subroutine acts as an explicit synchronization point for  the  PSBLAS
+parallel virtual  machine. 
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry 
                
 
                
diff --git a/docs/html/node104.html b/docs/html/node104.html
index 81d9760f..92d7001b 100644
--- a/docs/html/node104.html
+++ b/docs/html/node104.html
@@ -1,71 +1,70 @@
 
 
-
 
 
-psb_bcast -- Broadcast data
-
+psb_abort -- Abort a computation
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_sum   Global
- Up: Parallel environment routines
- Previous: psb_abort   Abort
-      Next: psb_bcast   Broadcast
+ Up: Parallel environment routines
+ Previous: psb_barrier   Sinchronization
+     Contents 
 
                
 
                
 
 
-
                
-psb_bcast -- Broadcast data
+
                
+psb_abort -- Abort a computation
 
                
 
 
                
 
                -call psb_bcast(icontxt, dat, root)
+call psb_abort(icontxt)
 
                
 
 
                
-This subroutine implements a broadcast operation based on the
-underlying communication library. 
+This subroutine aborts computation on the parallel virtual machine. 
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry 
                
 
                
@@ -82,81 +81,10 @@ Intent: in.
 
                
 Specified as: an integer variable.
 
                
-
                dat
                
-
                On the root process, the data to be broadcast.
-
                
-Scope: global.
-
                
-Type: required.
-
                
-Intent: inout.
-
                
-Specified as: an integer, real or complex variable, which may be a
-scalar, or a rank 1 or 2 array, or a character or logical variable,
-which may be a scalar or rank 1 array.  Type, kind, rank and size must agree on all processes.
-
                
-
                root
                
-
                Root process holding data to be broadcast.
-
                
-Scope: global.
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value 
-$0<= root <= np-1$, default 0  
                
 
                
 
 
                
-
                
-
                On Return
                
-
                
-
                
-
                dat
                
-
                On processes other than  root, the data to be broadcast.
-
                
-Scope: global.
-
                
-Type: required.
-
                
-Intent: inout.
-
                
-Specified as: an integer, real or complex variable, which may be a
-scalar, or a rank 1 or 2 array, or a character or logical scalar.  Type, kind, rank and size must agree on all processes.
-
                
-
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_sum   Global
- Up: Parallel environment routines
- Previous: psb_abort   Abort
-     Contents 
-
+
                
 
 
 
diff --git a/docs/html/node105.html b/docs/html/node105.html
index 630cbe99..219bd96e 100644
--- a/docs/html/node105.html
+++ b/docs/html/node105.html
@@ -1,67 +1,67 @@
 
 
-
 
 
-psb_sum -- Global sum
-
+psb_bcast -- Broadcast data
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_max   Global
- Up: Parallel environment routines
- Previous: psb_bcast   Broadcast
-      Next: psb_sum   Global
+ Up: Parallel environment routines
+ Previous: psb_abort   Abort
+     Contents 
 
                
 
                
 
 
-
                
-psb_sum -- Global sum
+
                
+psb_bcast -- Broadcast data
 
                
 
 
                
 
                -call psb_sum(icontxt, dat, root)
+call psb_bcast(icontxt, dat, root)
 
                
 
 
                
-This subroutine implements a sum reduction  operation based on the
+This subroutine implements a broadcast operation based on the
 underlying communication library. 
 
                
 
                Type:
                
@@ -83,7 +83,7 @@ Intent: in.
 Specified as: an integer variable.
 
                
 
                dat
                
-
                The local contribution to the global sum.
+
                On the root process, the data to be broadcast.
 
                
 Scope: global.
 
                
@@ -92,14 +92,11 @@ Type: required.
 Intent: inout.
 
                
 Specified as: an integer, real or complex variable, which may be a
-scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.
+scalar, or a rank 1 or 2 array, or a character or logical variable,
+which may be a scalar or rank 1 array.  Type, kind, rank and size must agree on all processes.
 
                
 
                root
                
-
                Process to hold the final sum, or $-1$ to make it available
-  on all processes.
+
                Root process holding data to be broadcast.
 
                
 Scope: global.
 
                
@@ -108,12 +105,12 @@ Type: optional.
 Intent: in.
 
                
 Specified as: an integer value 
 $-1<= root <= np-1$, default -1.  
                
+ WIDTH="153" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img131.png"
+ ALT="$0<= root <= np-1$">, default 0  
 
                
 
 
                
@@ -122,7 +119,7 @@ Specified as: an integer value 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_max   Global
- Up: Parallel environment routines
- Previous: psb_bcast   Broadcast
-      Next: psb_sum   Global
+ Up: Parallel environment routines
+ Previous: psb_abort   Abort
+     Contents 
 
 
diff --git a/docs/html/node106.html b/docs/html/node106.html
index 78d4fb95..9964f0a5 100644
--- a/docs/html/node106.html
+++ b/docs/html/node106.html
@@ -1,68 +1,68 @@
 
 
-
 
 
-psb_max -- Global maximum
-
+psb_sum -- Global sum
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_min   Global
- Up: Parallel environment routines
- Previous: psb_sum   Global
-      Next: psb_max   Global
+ Up: Parallel environment routines
+ Previous: psb_bcast   Broadcast
+     Contents 
 
                
 
                
 
 
-
                
-psb_max -- Global maximum
+
                
+psb_sum -- Global sum
 
                
 
 
                
 
                -call psb_max(icontxt, dat, root)
+call psb_sum(icontxt, dat, root)
 
                
 
 
                
-This subroutine implements a maximum valuereduction
-operation based on the underlying communication library. 
+This subroutine implements a sum reduction  operation based on the
+underlying communication library. 
 
                
 
                Type:
                
 
                Synchronous.
@@ -83,19 +83,19 @@ Intent: in.
 Specified as: an integer variable.
 
                
 
                dat
                
-
                The local contribution to the global maximum.
+
                The local contribution to the global sum.
 
                
-Scope: local.
+Scope: global.
 
                
 Type: required.
 
                
 Intent: inout.
 
                
-Specified as: an integer or  real variable, which may be a
+Specified as: an integer, real or complex variable, which may be a
 scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.
 
                
 
                root
                
-
                Process to hold the final maximum, or Process to hold the final sum, or $-1$ to make it available
@@ -113,8 +113,7 @@ Specified as: an integer value 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_min   Global
- Up: Parallel environment routines
- Previous: psb_sum   Global
-      Next: psb_max   Global
+ Up: Parallel environment routines
+ Previous: psb_bcast   Broadcast
+     Contents 
 
 
diff --git a/docs/html/node107.html b/docs/html/node107.html
index 0327b3f5..2457d63b 100644
--- a/docs/html/node107.html
+++ b/docs/html/node107.html
@@ -1,67 +1,67 @@
 
 
-
 
 
-psb_min -- Global minimum
-
+psb_max -- Global maximum
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_amx   Global
- Up: Parallel environment routines
- Previous: psb_max   Global
-      Next: psb_min   Global
+ Up: Parallel environment routines
+ Previous: psb_sum   Global
+     Contents 
 
                
 
                
 
 
-
                
-psb_min -- Global minimum
+
                
+psb_max -- Global maximum
 
                
 
 
                
 
                -call psb_min(icontxt, dat, root)
+call psb_max(icontxt, dat, root)
 
                
 
 
                
-This subroutine implements a minimum value reduction
+This subroutine implements a maximum valuereduction
 operation based on the underlying communication library. 
 
                
 
                Type:
                
@@ -83,7 +83,7 @@ Intent: in.
 Specified as: an integer variable.
 
                
 
                dat
                
-
                The local contribution to the global minimum.
+
                The local contribution to the global maximum.
 
                
 Scope: local.
 
                
@@ -91,11 +91,11 @@ Type: required.
 
                
 Intent: inout.
 
                
-Specified as: an integer  or real variable, which may be a
+Specified as: an integer or  real variable, which may be a
 scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.
 
                
 
                root
                
-
                Process to hold the final value, or Process to hold the final maximum, or $-1$ to make it available
@@ -123,18 +123,16 @@ Specified as: an integer value 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_amx   Global
- Up: Parallel environment routines
- Previous: psb_max   Global
-      Next: psb_min   Global
+ Up: Parallel environment routines
+ Previous: psb_sum   Global
+     Contents 
 
 
diff --git a/docs/html/node108.html b/docs/html/node108.html
index 1b08e3f1..92c0882b 100644
--- a/docs/html/node108.html
+++ b/docs/html/node108.html
@@ -1,67 +1,67 @@
 
 
-
 
 
-psb_amx -- Global maximum absolute value
-
+psb_min -- Global minimum
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_amn   Global
- Up: Parallel environment routines
- Previous: psb_min   Global
-      Next: psb_amx   Global
+ Up: Parallel environment routines
+ Previous: psb_max   Global
+     Contents 
 
                
 
                
 
 
-
                
-psb_amx -- Global maximum absolute value
+
                
+psb_min -- Global minimum
 
                
 
 
                
 
                -call psb_amx(icontxt, dat, root)
+call psb_min(icontxt, dat, root)
 
                
 
 
                
-This subroutine implements a maximum absolute value reduction
+This subroutine implements a minimum value reduction
 operation based on the underlying communication library. 
 
                
 
                Type:
                
@@ -83,7 +83,7 @@ Intent: in.
 Specified as: an integer variable.
 
                
 
                dat
                
-
                The local contribution to the global maximum.
+
                The local contribution to the global minimum.
 
                
 Scope: local.
 
                
@@ -91,7 +91,7 @@ Type: required.
 
                
 Intent: inout.
 
                
-Specified as: an integer, real or complex variable, which may be a
+Specified as: an integer  or real variable, which may be a
 scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.
 
                
 
                root
                
@@ -123,7 +123,7 @@ Specified as: an integer value 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_amn   Global
- Up: Parallel environment routines
- Previous: psb_min   Global
-      Next: psb_amx   Global
+ Up: Parallel environment routines
+ Previous: psb_max   Global
+     Contents 
 
 
diff --git a/docs/html/node109.html b/docs/html/node109.html
index 95308a2d..9ed57324 100644
--- a/docs/html/node109.html
+++ b/docs/html/node109.html
@@ -1,67 +1,67 @@
 
 
-
 
 
-psb_amn -- Global minimum absolute value
-
+psb_amx -- Global maximum absolute value
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_snd   Send
- Up: Parallel environment routines
- Previous: psb_amx   Global
-      Next: psb_amn   Global
+ Up: Parallel environment routines
+ Previous: psb_min   Global
+     Contents 
 
                
 
                
 
 
-
                
-psb_amn -- Global minimum absolute value
+
                
+psb_amx -- Global maximum absolute value
 
                
 
 
                
 
                -call psb_amn(icontxt, dat, root)
+call psb_amx(icontxt, dat, root)
 
                
 
 
                
-This subroutine implements a minimum absolute value reduction
+This subroutine implements a maximum absolute value reduction
 operation based on the underlying communication library. 
 
                
 
                Type:
                
@@ -83,7 +83,7 @@ Intent: in.
 Specified as: an integer variable.
 
 
                dat
                
-
                The local contribution to the global minimum.
+
                The local contribution to the global maximum.
 
                
 Scope: local.
 
                
@@ -123,7 +123,7 @@ Specified as: an integer value 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_snd   Send
- Up: Parallel environment routines
- Previous: psb_amx   Global
-      Next: psb_amn   Global
+ Up: Parallel environment routines
+ Previous: psb_min   Global
+     Contents 
 
 
diff --git a/docs/html/node11.html b/docs/html/node11.html
index bf128cdd..9db34b4b 100644
--- a/docs/html/node11.html
+++ b/docs/html/node11.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: get_local_rows   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: Descriptor data structure
-       Contents 
 
                
 
                
diff --git a/docs/html/node110.html b/docs/html/node110.html
index 151633bb..20915ff5 100644
--- a/docs/html/node110.html
+++ b/docs/html/node110.html
@@ -1,70 +1,71 @@
 
 
-
 
 
-psb_snd -- Send data
-
+psb_amn -- Global minimum absolute value
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_rcv   Receive
- Up: Parallel environment routines
- Previous: psb_amn   Global
-      Next: psb_snd   Send
+ Up: Parallel environment routines
+ Previous: psb_amx   Global
+     Contents 
 
                
 
                
 
 
-
                
-psb_snd -- Send data
+
                
+psb_amn -- Global minimum absolute value
 
                
 
 
                
 
                -call psb_snd(icontxt, dat, dst, m)
+call psb_amn(icontxt, dat, root)
 
                
 
 
                
-This subroutine sends a packet of data to a destination.
+This subroutine implements a minimum absolute value reduction
+operation based on the underlying communication library. 
 
                
 
                Type:
                
-
                Synchronous: see usage notes. 
+
                Synchronous.
 
                
 
                On Entry 
                
 
                
@@ -82,65 +83,38 @@ Intent: in.
 Specified as: an integer variable.
 
                
 
                dat
                
-
                The data to be sent.
+
                The local contribution to the global minimum.
 
                
 Scope: local.
 
                
 Type: required.
 
                
-Intent: in.
+Intent: inout.
 
                
 Specified as: an integer, real or complex variable, which may be a
-scalar, or a rank 1 or 2 array, or a character or logical scalar.  Type, kind and  rank must agree on sender and receiver process; if $m$ is
-not specified, size must agree as well. 
+scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all processes.
 
                
-
                dst
                
-
                Destination process.
+
                root
                
+
                Process to hold the final value, or $-1$ to make it available
+  on all processes.
 
                
 Scope: global.
 
                
-Type: required.
+Type: optional.
 
                
 Intent: in.
 
                
 Specified as: an integer value 
 $0<= dst <= np-1$. 
+ WIDTH="165" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img132.png"
+ ALT="$-1<= root <= np-1$">, default -1. 
 
                
-
                m
                
-
                Number of rows.
-
                
-Scope: global.
-
                
-Type: Optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value 
-$0<= m <= size(dat,1)$. 
-
                
-When $dat$ is a rank 2 array, specifies the number of rows to be sent
-independently of the leading dimension $size(dat,1)$; must have the
-same value on sending and receiving processes.
-
                
 
                
 
 
                
@@ -148,43 +122,57 @@ same value on sending and receiving processes.
 
                On Return
                
 
                
 
                
+
                dat
                
+
                On destination process(es), the result of the minimum operation.
+
                
+Scope: global.
+
                
+Type: required.
+
                
+Intent: inout.
+
                
+Specified as: an integer, real or complex variable, which may be a
+scalar, or a rank 1 or 2 array. 
+
                
+Type, kind, rank and size must agree on all processes.
+
                
 
                
 
 
                
 Notes
 
 
                  
-
                1. This subroutine implies a synchronization, but only between the
-  calling process and the destination  process $dst$.
+
                2. The dat argument is both input and output, and its
+  value may be changed even on processes different from the final
+  result destination.
+
                  3. 
+
                3. The dat argument may also be a long integer scalar.
 
                  4. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_rcv   Receive
- Up: Parallel environment routines
- Previous: psb_amn   Global
-      Next: psb_snd   Send
+ Up: Parallel environment routines
+ Previous: psb_amx   Global
+     Contents 
 
 
diff --git a/docs/html/node111.html b/docs/html/node111.html
index 3f54df29..3fa5a113 100644
--- a/docs/html/node111.html
+++ b/docs/html/node111.html
@@ -1,69 +1,70 @@
 
 
-
 
 
-psb_rcv -- Receive data
-
+psb_snd -- Send data
+
 
 
 
 
-
+
 
 
 
 
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Error handling
- Up: Parallel environment routines
- Previous: psb_snd   Send
-      Next: psb_rcv   Receive
+ Up: Parallel environment routines
+ Previous: psb_amn   Global
+     Contents 
 
                
 
                
 
 
-
                
-psb_rcv -- Receive data
+
                
+psb_snd -- Send data
 
                
 
 
                
 
                -call psb_rcv(icontxt, dat, src, m)
+call psb_snd(icontxt, dat, dst, m)
 
                
 
 
                
-This subroutine receives a packet of data to a destination.
+This subroutine sends a packet of data to a destination.
 
                
 
                Type:
                
-
                Synchronous: see usage notes.
+
                Synchronous: see usage notes. 
 
                
 
                On Entry 
                
 
                
@@ -80,8 +81,24 @@ Intent: in.
 
                
 Specified as: an integer variable.
 
                
-
                src
                
-
                Source process.
+
                dat
                
+
                The data to be sent.
+
                
+Scope: local.
+
                
+Type: required.
+
                
+Intent: in.
+
                
+Specified as: an integer, real or complex variable, which may be a
+scalar, or a rank 1 or 2 array, or a character or logical scalar.  Type, kind and  rank must agree on sender and receiver process; if $m$ is
+not specified, size must agree as well. 
+
                
+
                dst
                
+
                Destination process.
 
                
 Scope: global.
 
                
@@ -90,12 +107,12 @@ Type: required.
 Intent: in.
 
                
 Specified as: an integer value 
 $0<= src <= np-1$. 
+ WIDTH="145" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img134.png"
+ ALT="$0<= dst <= np-1$">. 
 
                
 
                m
                
 
                Number of rows.
@@ -115,7 +132,7 @@ Specified as: an integer value 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Error handling
- Up: Parallel environment routines
- Previous: psb_snd   Send
-      Next: psb_rcv   Receive
+ Up: Parallel environment routines
+ Previous: psb_amn   Global
+     Contents 
 
 
diff --git a/docs/html/node112.html b/docs/html/node112.html
index a738fe90..4b2b1fc9 100644
--- a/docs/html/node112.html
+++ b/docs/html/node112.html
@@ -1,342 +1,189 @@
 
 
-
 
 
-Error handling
-
+psb_rcv -- Receive data
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Utilities
- Up: userhtml
- Previous: psb_rcv   Receive
-      Next: Error handling
+ Up: Parallel environment routines
+ Previous: psb_snd   Send
+     Contents 
 
                
 
                
 
 
-
                
-Error handling
-
                
-
-
                
-The PSBLAS library error handling policy has been completely rewritten
-in version 2.0. The idea behind the design of this new error handling
-strategy is to keep error messages on a stack allowing the user to
-trace back up to the point where the first error message has been
-generated. Every routine in the PSBLAS-2.0 library has, as last
-non-optional argument, an integer info variable; whenever,
-inside the routine, an error is detected, this variable is set to a
-value corresponding to a specific error code. Then this error code is
-also pushed on the error stack and then either control is returned to
-the caller routine or the execution is aborted, depending on the users
-choice. At the time when the execution is aborted, an error message is
-printed on standard output with a level of verbosity than can be
-chosen by the user. If the execution is not aborted, then, the caller
-routine checks the value returned in the info variable and, if
-not zero, an error condition is raised. This process continues on all the
-levels of nested calls until the level where the user decides to abort
-the program execution.
-
-
                
-Figure 9 shows the layout of a generic psb_foo
-routine with respect to the PSBLAS-2.0 error handling policy. It is
-possible to see how, whenever an error condition is detected, the
-info variable is set to the corresponding error code which is,
-then, pushed on top of the stack by means of the
-psb_errpush. An error condition may be directly detected inside
-a routine or indirectly checking the error code returned returned by a
-called routine. Whenever an error is encountered, after it has been
-pushed on stack, the program execution skips to a point where the
-error condition is handled; the error condition is handled either by
-returning control to the caller routine or by calling the
-psb\_error routine which prints the content of the error stack
-and aborts the program execution, according to the choice made by the
-user with psb_set_erraction. The default is to print the error
-and terminate the program, but the user may choose to handle the error
-explicitly. 
-
-
                
-
-
                
-
-
-
-
                Figure 9:
-The layout of a generic psb_foo
-  routine with respect to PSBLAS-2.0 error handling policy.
                
-
                
-   
-  
                
-
-\fbox{\TheSbox}
-
                
-
                
+
                
+psb_rcv -- Receive data
+
                
 
 
                
-Figure 10 reports a sample error message generated by
-the PSBLAS-2.0 library. This error has been generated by the fact that
-the user has chosen the invalid ``FOO'' storage format to represent
-the sparse matrix. From this error message it is possible to see that
-the error has been detected inside the psb_cest subroutine
-called by psb_spasb ... by process 0 (i.e. the root process).
-
-
                
-
-
                
-
-
-
-
                Figure 10:
-A sample PSBLAS-2.0 error
-    message. Process 0 detected an error condition inside the  psb_cest subroutine
                
-
                
-   
-  
                
-
-\fbox{\TheSbox}
-
                
-
                
-
-
                
-ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error
-  stack
-
-
                
-
                
-\begin{lstlisting}
-call psb_errpush(err_c, r_name, i_err, a_err)
-\end{lstlisting}
-
                
+
                +call psb_rcv(icontxt, dat, src, m)
+
                
 
 
                
+This subroutine receives a packet of data to a destination.
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous: see usage notes.
 
                
-
                On Entry
                
+
                On Entry 
                
 
                
 
                
-
                err_c
                
-
                the error code
+
                icontxt
                
+
                the communication context identifying the virtual
+  parallel machine.
 
                
-Scope: local 
+Scope: global.
 
                
-Type: required
+Type: required.
 
                
 Intent: in.
 
                
-Specified as: an integer.
+Specified as: an integer variable.
 
                
-
                r_name
                
-
                the soutine where the error has been caught.
+
                src
                
+
                Source process.
 
                
-Scope: local 
+Scope: global.
 
                
-Type: required
+Type: required.
 
                
 Intent: in.
 
                
-Specified as: a string.
-
                
-
                i_err
                
-
                addional info for error code
-
                
-Scope: local 
-
                
-Type: optional
-
                
-Specified as: an integer array
-
                
-
                a_err
                
-
                addional info for error code
-
                
-Scope: local 
-
                
-Type: optional
-
                
-Specified as: a string.
-
                
-
                
-
-
                
-ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts
-  execution
-
-
                
-
                
+Specified as: an integer value 
 \begin{lstlisting}
-call psb_error(icontxt)
-\end{lstlisting}
-
                
-
-
                
-
                
-
                Type:
                
-
                Asynchronous.
-
                
-
                On Entry
                
-
                
-
                
-
                icontxt
                
-
                the communication context.
+ WIDTH="147" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img139.png"
+ ALT="$0<= src <= np-1$">. 
+
                
+
                m
                
+
                Number of rows.
 
                
-Scope: global 
+Scope: global.
 
                
-Type: optional
+Type: Optional.
 
                
 Intent: in.
 
                
-Specified as: an integer.
+Specified as: an integer value 
+$0<= m <= size(dat,1)$. 
+
                
+When $dat$ is a rank 2 array, specifies the number of rows to be sent
+independently of the leading dimension $size(dat,1)$; must have the
+same value on sending and receiving processes.
 
                
 
                
 
-
                
-ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error
-  messages.
-
-
                
-
                
-\begin{lstlisting}
-call psb_set_errverbosity(v)
-\end{lstlisting}
-
                
-
 
                
 
                
-
                Type:
                
-
                Asynchronous.
-
                
-
                On Entry
                
+
                On Return
                
 
                
 
                
-
                v
                
-
                the verbosity level
+
                dat
                
+
                The data to be received.
 
                
-Scope: global
+Scope: local.
 
                
-Type: required
+Type: required.
 
                
-Intent: in.
+Intent: inout.
 
                
-Specified as: an integer.
+Specified as: an integer, real or complex variable, which may be a
+scalar, or a rank 1 or 2 array, or a character or logical scalar.  Type, kind and  rank must agree on sender and receiver process; if $m$ is
+not specified, size must agree as well. 
 
                
 
                
 
 
                
-ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be
-  taken  upon error condition.
-
-
                
-
                
-\begin{lstlisting}
-call psb_set_erraction(err_act)
-\end{lstlisting}
-
                
+Notes
 
-
                
-
                
-
                Type:
                
-
                Asynchronous.
-
                
-
                On Entry
                
-
                
-
                
-
                err_act
                
-
                the type of action.
-
                
-Scope: global 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: an integer. Possible values: psb_act_ret,
-psb_act_abort. 
-
                
-
                
+
                  
+
                1. This subroutine implies a synchronization, but only between the
+  calling process and the source  process $src$.
+
                  2. 
+
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Utilities
- Up: userhtml
- Previous: psb_rcv   Receive
-      Next: Error handling
+ Up: Parallel environment routines
+ Previous: psb_snd   Send
+     Contents 
 
 
diff --git a/docs/html/node113.html b/docs/html/node113.html
index 5d97b674..db176128 100644
--- a/docs/html/node113.html
+++ b/docs/html/node113.html
@@ -1,94 +1,344 @@
 
 
-
 
 
-Utilities
-
+Error handling
+
 
 
 
 
-
+
 
 
 
 
-
-
+
+
 
 
 
 
 
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next: hb_read   Read
- Up:  Next: Utilities
+ Up: userhtml
- Previous: Error handling
-      Previous: psb_rcv   Receive
+     Contents 
 
                
 
                
 
 
-
                
-
-
                
-Utilities
+
                
+Error handling
 
                
 
 
                
-We have some utitlities available for input and output of
-sparsematrices; the interfaces to these routines are available in the
-module psb_util_mod.
-
-
                
-
                
-
-Subsections
-
-
-
-
                
+The PSBLAS library error handling policy has been completely rewritten
+in version 2.0. The idea behind the design of this new error handling
+strategy is to keep error messages on a stack allowing the user to
+trace back up to the point where the first error message has been
+generated. Every routine in the PSBLAS-2.0 library has, as last
+non-optional argument, an integer info variable; whenever,
+inside the routine, an error is detected, this variable is set to a
+value corresponding to a specific error code. Then this error code is
+also pushed on the error stack and then either control is returned to
+the caller routine or the execution is aborted, depending on the users
+choice. At the time when the execution is aborted, an error message is
+printed on standard output with a level of verbosity than can be
+chosen by the user. If the execution is not aborted, then, the caller
+routine checks the value returned in the info variable and, if
+not zero, an error condition is raised. This process continues on all the
+levels of nested calls until the level where the user decides to abort
+the program execution.
+
+
                
+Figure 9 shows the layout of a generic psb_foo
+routine with respect to the PSBLAS-2.0 error handling policy. It is
+possible to see how, whenever an error condition is detected, the
+info variable is set to the corresponding error code which is,
+then, pushed on top of the stack by means of the
+psb_errpush. An error condition may be directly detected inside
+a routine or indirectly checking the error code returned returned by a
+called routine. Whenever an error is encountered, after it has been
+pushed on stack, the program execution skips to a point where the
+error condition is handled; the error condition is handled either by
+returning control to the caller routine or by calling the
+psb\_error routine which prints the content of the error stack
+and aborts the program execution, according to the choice made by the
+user with psb_set_erraction. The default is to print the error
+and terminate the program, but the user may choose to handle the error
+explicitly. 
+
+
                
+
+
                
+
+
+
+
                Figure 9:
+The layout of a generic psb_foo
+  routine with respect to PSBLAS-2.0 error handling policy.
                
+
                
+   
+  
                
+
+\fbox{\TheSbox}
+
                
+
                
+
+
                
+Figure 10 reports a sample error message generated by
+the PSBLAS-2.0 library. This error has been generated by the fact that
+the user has chosen the invalid ``FOO'' storage format to represent
+the sparse matrix. From this error message it is possible to see that
+the error has been detected inside the psb_cest subroutine
+called by psb_spasb ... by process 0 (i.e. the root process).
+
+
                
+
+
                
+
+
+
+
                Figure 10:
+A sample PSBLAS-2.0 error
+    message. Process 0 detected an error condition inside the  psb_cest subroutine
                
+
                
+   
+  
                
+
+\fbox{\TheSbox}
+
                
+
                
+
+
                
+ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error
+  stack
+
+
                
+
                
+\begin{lstlisting}
+call psb_errpush(err_c, r_name, i_err, a_err)
+\end{lstlisting}
+
                
+
+
                
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                err_c
                
+
                the error code
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: an integer.
+
                
+
                r_name
                
+
                the soutine where the error has been caught.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a string.
+
                
+
                i_err
                
+
                addional info for error code
+
                
+Scope: local 
+
                
+Type: optional
+
                
+Specified as: an integer array
+
                
+
                a_err
                
+
                addional info for error code
+
                
+Scope: local 
+
                
+Type: optional
+
                
+Specified as: a string.
+
                
+
                
+
+
                
+ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts
+  execution
+
+
                
+
                
+\begin{lstlisting}
+call psb_error(icontxt)
+\end{lstlisting}
+
                
+
+
                
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                icontxt
                
+
                the communication context.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Specified as: an integer.
+
                
+
                
+
+
                
+ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error
+  messages.
+
+
                
+
                
+\begin{lstlisting}
+call psb_set_errverbosity(v)
+\end{lstlisting}
+
                
+
+
                
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                v
                
+
                the verbosity level
+
                
+Scope: global
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: an integer.
+
                
+
                
+
+
                
+ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be
+  taken  upon error condition.
+
+
                
+
                
+\begin{lstlisting}
+call psb_set_erraction(err_act)
+\end{lstlisting}
+
                
+
+
                
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                err_act
                
+
                the type of action.
+
                
+Scope: global 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: an integer. Possible values: psb_act_ret,
+psb_act_abort. 
+
                
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: Utilities
+ Up: userhtml
+ Previous: psb_rcv   Receive
+     Contents 
+
 
 
 
diff --git a/docs/html/node114.html b/docs/html/node114.html
index 9ab08186..fe0a36b8 100644
--- a/docs/html/node114.html
+++ b/docs/html/node114.html
@@ -1,161 +1,94 @@
 
 
-
 
 
-hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format
-
+Utilities
+
 
 
 
 
-
+
 
 
 
 
-
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: hb_write   Write
- Up: Utilities
- Previous: Utilities
-      Next: hb_read   Read
+ Up: userhtml
+ Previous: Error handling
+     Contents 
 
                
 
                
 
 
-
                
- hb_read -- Read a sparse matrix from a file in the
-  Harwell-Boeing format
-
                
-
-
                
-
                
-\begin{lstlisting}
-call hb_read(a, iret, iunit, filename, b, mtitle)
-\end{lstlisting}
+
                
+
 
                
+Utilities
+
                
 
 
                
-
                
-
                Type:
                
-
                Asynchronous.
-
                
-
                On Entry 
                
-
                
-
                
-
                filename
                
-
                The name of the file to be read.
-
                
-Type:optional.
-
                
-Specified as: a character variable containing a valid file name, or
--, in which case the default input unit  5 (i.e. standard input
-in Unix jargon) is used. Default: -. 
-
                
-
                iunit
                
-
                The Fortran file unit number.
-
                
-Type:optional.
-
                
-Specified as: an integer value. Only meaningful if filename is not -.
-
                
-
                
+We have some utitlities available for input and output of
+sparse matrices; the interfaces to these routines are available in the
+module psb_util_mod.
 
 
                
-
                
-
                On Return
                
-
                
-
                
-
                a
                
-
                the sparse matrix read from file.
-
                
-Type:required.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
-
                b
                
-
                Rigth hand side(s).
-
                
-Type: Optional 
-
                
-An  array of type real or complex, rank 2 and having the ALLOCATABLE
-attribute; will be allocated and filled in if the input file contains
-a right hand side, otherwise will be left in the UNALLOCATED state. 
-
                
-
                mtitle
                
-
                Matrix title.
-
                
-Type: Optional 
-
                
-A charachter variable of length 72 holding a copy of the
-matrix title as specified by the Harwell-Boeing format and contained
-in the input file.
-
                
-
                iret
                
-
                Error code.
-
                
-Type: required 
-
                
-An integer value; 0 means no error has been detected. 
-
                
-
                
+
                
+
+Subsections
 
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: hb_write   Write
- Up: Utilities
- Previous: Utilities
-     Contents 
-
+
+
+
                
 
 
 
diff --git a/docs/html/node115.html b/docs/html/node115.html
index d758e086..acef0919 100644
--- a/docs/html/node115.html
+++ b/docs/html/node115.html
@@ -1,68 +1,68 @@
 
 
-
 
 
-hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format
-
+hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: mm_mat_read   Read
- Up: Utilities
- Previous: hb_read   Read
-      Next: hb_write   Write
+ Up: Utilities
+ Previous: Utilities
+     Contents 
 
                
 
                
 
 
-
                
-hb_write -- Write a sparse matrix to a  file
-  in the Harwell-Boeing format
+
                
+ hb_read -- Read a sparse matrix from a file in the
+  Harwell-Boeing format
 
                
 
 
                
 
                
 \begin{lstlisting}
-call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
+call hb_read(a, iret, iunit, filename, b, mtitle)
 \end{lstlisting}
 
                
 
@@ -74,29 +74,13 @@ call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
 
                On Entry 
                
 
                
 
                
-
                a
                
-
                the sparse matrix to be written.
-
                
-Type:required.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
-
                b
                
-
                Rigth hand side.
-
                
-Type: Optional 
-
                
-An  array of type real or complex, rank 1 and having the ALLOCATABLE
-attribute; will be allocated and filled in if the input file contains
-a right hand side. 
-
                
 
                filename
                
-
                The name of the file to be written to.
+
                The name of the file to be read.
 
                
 Type:optional.
 
                
 Specified as: a character variable containing a valid file name, or
--, in which case the default output unit  6 (i.e. standard output
+-, in which case the default input unit  5 (i.e. standard input
 in Unix jargon) is used. Default: -. 
 
                
 
                iunit
                
@@ -106,30 +90,37 @@ Type:optional.
 
                
 Specified as: an integer value. Only meaningful if filename is not -.
 
-
                key
                
-
                Matrix key.
+
                
+
+
                
+
                
+
                On Return
                
+
                
+
                
+
                a
                
+
                the sparse matrix read from file.
+
                
+Type:required.
+
                
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
+
                b
                
+
                Rigth hand side(s).
 
                
 Type: Optional 
 
                
-A charachter variable of length 8 holding the
-matrix key as specified by the Harwell-Boeing format and to be
-written to file.
+An  array of type real or complex, rank 2 and having the ALLOCATABLE
+attribute; will be allocated and filled in if the input file contains
+a right hand side, otherwise will be left in the UNALLOCATED state. 
 
                
 
                mtitle
                
 
                Matrix title.
 
                
 Type: Optional 
 
                
-A charachter variable of length 72 holding the
-matrix title as specified by the Harwell-Boeing format and to be
-written to file.
-
                
-
                
-
-
                
-
                
-
                On Return
                
-
                
+A charachter variable of length 72 holding a copy of the
+matrix title as specified by the Harwell-Boeing format and contained
+in the input file.
 
                
 
                iret
                
 
                Error code.
@@ -143,26 +134,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: mm_mat_read   Read
- Up: Utilities
- Previous: hb_read   Read
-      Next: hb_write   Write
+ Up: Utilities
+ Previous: Utilities
+     Contents 
 
 
diff --git a/docs/html/node116.html b/docs/html/node116.html
index 455b52b1..aca0bf66 100644
--- a/docs/html/node116.html
+++ b/docs/html/node116.html
@@ -1,68 +1,68 @@
 
 
-
 
 
-mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format
-
+hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: mm_array_read   Read
- Up: Utilities
- Previous: hb_write   Write
-      Next: mm_mat_read   Read
+ Up: Utilities
+ Previous: hb_read   Read
+     Contents 
 
                
 
                
 
 
-
                
-mm_mat_read -- Read a sparse matrix from a
-  file in the MatrixMarket format
+
                
+hb_write -- Write a sparse matrix to a  file
+  in the Harwell-Boeing format
 
                
 
 
                
 
                
 \begin{lstlisting}
-call mm_mat_read(a, iret, iunit, filename)
+call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
 \end{lstlisting}
 
                
 
@@ -74,13 +74,29 @@ call mm_mat_read(a, iret, iunit, filename)
 
                On Entry 
                
 
                
 
                
+
                a
                
+
                the sparse matrix to be written.
+
                
+Type:required.
+
                
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
+
                b
                
+
                Rigth hand side.
+
                
+Type: Optional 
+
                
+An  array of type real or complex, rank 1 and having the ALLOCATABLE
+attribute; will be allocated and filled in if the input file contains
+a right hand side. 
+
                
 
                filename
                
-
                The name of the file to be read.
+
                The name of the file to be written to.
 
                
 Type:optional.
 
                
 Specified as: a character variable containing a valid file name, or
--, in which case the default input unit  5 (i.e. standard input
+-, in which case the default output unit  6 (i.e. standard output
 in Unix jargon) is used. Default: -. 
 
                
 
                iunit
                
@@ -90,6 +106,24 @@ Type:optional.
 
                
 Specified as: an integer value. Only meaningful if filename is not -.
 
+
                key
                
+
                Matrix key.
+
                
+Type: Optional 
+
                
+A charachter variable of length 8 holding the
+matrix key as specified by the Harwell-Boeing format and to be
+written to file.
+
                
+
                mtitle
                
+
                Matrix title.
+
                
+Type: Optional 
+
                
+A charachter variable of length 72 holding the
+matrix title as specified by the Harwell-Boeing format and to be
+written to file.
+
                
 
                
 
 
                
@@ -97,13 +131,6 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
 
                
 
                
-
                a
                
-
                the sparse matrix read from file.
-
                
-Type:required.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
 
                iret
                
 
                Error code.
 
                
@@ -114,7 +141,30 @@ An integer value; 0 means no error has been detected.
 
                
 
 
                
-
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: mm_mat_read   Read
+ Up: Utilities
+ Previous: hb_read   Read
+     Contents 
+
 
 
 
diff --git a/docs/html/node117.html b/docs/html/node117.html
index 187170c3..03c5c72f 100644
--- a/docs/html/node117.html
+++ b/docs/html/node117.html
@@ -1,68 +1,68 @@
 
 
-
 
 
-mm_array_read -- Read a dense array from a file in the MatrixMarket format
-
+mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: mm_mat_write   Write
- Up: Utilities
- Previous: mm_mat_read   Read
-      Next: mm_array_read   Read
+ Up: Utilities
+ Previous: hb_write   Write
+     Contents 
 
                
 
                
 
 
-
                
-mm_array_read -- Read a dense array from a
+
                
+mm_mat_read -- Read a sparse matrix from a
   file in the MatrixMarket format
 
                
 
 
                
 
                
 \begin{lstlisting}
-call mm_array_read(b, iret, iunit, filename)
+call mm_mat_read(a, iret, iunit, filename)
 \end{lstlisting}
 
                
 
@@ -97,14 +97,12 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
 
                
 
                
-
                b
                
-
                Rigth hand side(s).
+
                a
                
+
                the sparse matrix read from file.
 
                
-Type: required 
+Type:required.
 
                
-An  array of type real or complex, rank 1 or 2 and having the ALLOCATABLE
-attribute; will be allocated and filled in if the input file contains
-a right hand side, otherwise will be left in the UNALLOCATED state. 
+Specified as: a structured data of type spdatapsb_Tspmat_type.
 
                
 
                iret
                
 
                Error code.
diff --git a/docs/html/node118.html b/docs/html/node118.html
index 8181c601..82f38bc6 100644
--- a/docs/html/node118.html
+++ b/docs/html/node118.html
@@ -1,70 +1,72 @@
 
 
-
 
 
-mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format
-
+mm_array_read -- Read a dense array from a file in the MatrixMarket format
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: mm_array_write   Write
- Up: Utilities
- Previous: mm_array_read   Read
-      Next: mm_mat_write   Write
+ Up: Utilities
+ Previous: mm_mat_read   Read
+     Contents 
 
                
 
                
 
 
-
                
-mm_mat_write -- Write a sparse matrix to a
+
                
+mm_array_read -- Read a dense array from a
   file in the MatrixMarket format
 
                
 
 
                
 
                
 \begin{lstlisting}
-call mm_mat_write(a, mtitle, iret, iunit, filename)
+call mm_array_read(b, iret, iunit, filename)
 \end{lstlisting}
 
                
+
+
                
 
                
 
                Type:
                
 
                Asynchronous.
@@ -72,28 +74,13 @@ call mm_mat_write(a, mtitle, iret, iunit, filename)
 
                On Entry 
                
 
                
 
                
-
                a
                
-
                the sparse matrix to be written.
-
                
-Type:required.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
-
                mtitle
                
-
                Matrix title.
-
                
-Type: required 
-
                
-A charachter variable holding a descriptive title for the matrix to be
- written to file.
-
                
 
                filename
                
-
                The name of the file to be written to.
+
                The name of the file to be read.
 
                
 Type:optional.
 
                
 Specified as: a character variable containing a valid file name, or
--, in which case the default output unit  6 (i.e. standard output
+-, in which case the default input unit  5 (i.e. standard input
 in Unix jargon) is used. Default: -. 
 
                
 
                iunit
                
@@ -110,6 +97,15 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
 
                
 
                
+
                b
                
+
                Rigth hand side(s).
+
                
+Type: required 
+
                
+An  array of type real or complex, rank 1 or 2 and having the ALLOCATABLE
+attribute; will be allocated and filled in if the input file contains
+a right hand side, otherwise will be left in the UNALLOCATED state. 
+
                
 
                iret
                
 
                Error code.
 
                
diff --git a/docs/html/node119.html b/docs/html/node119.html
index 576e6b51..bd29e59f 100644
--- a/docs/html/node119.html
+++ b/docs/html/node119.html
@@ -1,71 +1,70 @@
 
 
-
 
 
-mm_array_write -- Write a dense array from a file in the MatrixMarket format
-
+mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format
+
 
 
 
 
-
+
 
 
 
 
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Preconditioner routines
- Up: Utilities
- Previous: mm_mat_write   Write
-      Next: mm_array_write   Write
+ Up: Utilities
+ Previous: mm_array_read   Read
+     Contents 
 
                
 
                
 
 
-
                
-mm_array_write --  Write a dense array from a
+
                
+mm_mat_write -- Write a sparse matrix to a
   file in the MatrixMarket format
 
                
 
 
                
 
                
 \begin{lstlisting}
-call mm_array_write(b, iret, iunit, filename)
+call mm_mat_write(a, mtitle, iret, iunit, filename)
 \end{lstlisting}
 
                
-
-
                
 
                
 
                Type:
                
 
                Asynchronous.
@@ -73,19 +72,28 @@ call mm_array_write(b, iret, iunit, filename)
 
                On Entry 
                
 
                
 
                
-
                b
                
-
                Rigth hand side(s).
+
                a
                
+
                the sparse matrix to be written.
+
                
+Type:required.
+
                
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
+
                mtitle
                
+
                Matrix title.
 
                
 Type: required 
 
                
-An  array of type real or complex, rank 1 or 2; will be written.. 
                
+A charachter variable holding a descriptive title for the matrix to be
+ written to file.
+
                
 
                filename
                
-
                The name of the file to be written.
+
                The name of the file to be written to.
 
                
 Type:optional.
 
                
 Specified as: a character variable containing a valid file name, or
--, in which case the default input unit  5 (i.e. standard input
+-, in which case the default output unit  6 (i.e. standard output
 in Unix jargon) is used. Default: -. 
 
                
 
                iunit
                
diff --git a/docs/html/node12.html b/docs/html/node12.html
index 379f4718..20c24d1a 100644
--- a/docs/html/node12.html
+++ b/docs/html/node12.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: get_local_cols   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: Descriptor Methods
-       Contents 
 
                
 
                
diff --git a/docs/html/node120.html b/docs/html/node120.html
index dd238734..b54181b4 100644
--- a/docs/html/node120.html
+++ b/docs/html/node120.html
@@ -1,96 +1,117 @@
 
 
-
 
 
-Preconditioner routines
-
+mm_array_write -- Write a dense array from a file in the MatrixMarket format
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_precinit   Initialize
- Up: userhtml
- Previous: mm_array_write   Write
-      Next: Preconditioner routines
+ Up: Utilities
+ Previous: mm_mat_write   Write
+     Contents 
 
                
 
                
 
 
-
                
-
-
                
-Preconditioner routines
-
                
+
                
+mm_array_write --  Write a dense array from a
+  file in the MatrixMarket format
+
                
 
 
                
-The base PSBLAS library  contains the implementation of two simple
-preconditioning techniques:
+
                
+\begin{lstlisting}
+call mm_array_write(b, iret, iunit, filename)
+\end{lstlisting}
+
                
 
-
                  
-
                • Diagonal Scaling
-
                  • 
-
                • Block Jacobi with ILU(0) factorization
-
                  • 
-
                
-The supporting data type and subroutine interfaces are defined in the
-module  psb_prec_mod.
+
                
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry 
                
+
                
+
                
+
                b
                
+
                Rigth hand side(s).
+
                
+Type: required 
+
                
+An  array of type real or complex, rank 1 or 2; will be written.. 
                
+
                filename
                
+
                The name of the file to be written.
+
                
+Type:optional.
+
                
+Specified as: a character variable containing a valid file name, or
+-, in which case the default input unit  5 (i.e. standard input
+in Unix jargon) is used. Default: -. 
+
                
+
                iunit
                
+
                The Fortran file unit number.
+
                
+Type:optional.
+
                
+Specified as: an integer value. Only meaningful if filename is not -.
+
                
+
                
 
 
                
-
                
-
-Subsections
+
                
+
                On Return
                
+
                
+
                
+
                iret
                
+
                Error code.
+
                
+Type: required 
+
                
+An integer value; 0 means no error has been detected. 
+
                
+
                
 
-
-
+
                
 
                
 
 
diff --git a/docs/html/node121.html b/docs/html/node121.html
index ba843227..c297cd4c 100644
--- a/docs/html/node121.html
+++ b/docs/html/node121.html
@@ -1,142 +1,97 @@
 
 
-
 
 
-psb_precinit -- Initialize a preconditioner
-
+Preconditioner routines
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_precbld   Builds
- Up: Preconditioner routines
- Previous: Preconditioner routines
-      Next: psb_precinit   Initialize
+ Up: userhtml
+ Previous: mm_array_write   Write
+     Contents 
 
                
 
                
 
 
-
                
-psb_precinit -- Initialize a  preconditioner
-
                
+
                
+
+
                
+Preconditioner routines
+
                
 
 
                
-
                -call psb_precinit(prec, ptype, info)
-
                
+The base PSBLAS library  contains the implementation of two simple
+preconditioning techniques:
 
-
                
-
                
-
                Type:
                
-
                Asynchronous.
-
                
-
                On Entry
                
-
                
-
                
-
                ptype
                
-
                the type of preconditioner. 
-Scope: global 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a character string, see usage notes.
-
                
-
                On Exit
                
-
                
-
                
-
                prec
                
-
                Scope: local 
-
                
-Type: required
-
                
-Intent: inout.
-
                
-Specified as: a preconditioner data structure precdatapsb_prec_type.
-
                
-
                info
                
-
                Scope: global 
-
                
-Type: required
-
                
-Intent: out.
-
                
-Error code: if no error, 0 is returned.
-
                
-
                
-Notes
-Legal inputs to this subroutine are interpreted depending on the
-$ptype$ string as follows3:
-
                
-
                NONE
                
-
                No preconditioning, i.e. the preconditioner is just a copy
-  operator.
-
                
-
                DIAG
                
-
                Diagonal scaling; each entry of the input vector is
-  multiplied by the reciprocal of the sum of the absolute values of
-  the coefficients in the corresponding row of matrix  $A$;
-
                
-
                BJAC
                
-
                Precondition by a  factorization of the
-  block-diagonal of matrix $A$, where block boundaries are determined
-  by the data allocation boundaries for each process; requires no
-  communication. Only the incomplete factorization $ILU(0)$ is
-  currently implemented.  
-
                
-
                
+
                  
+
                • Diagonal Scaling
+
                  • 
+
                • Block Jacobi with ILU(0) factorization
+
                  • 
+
                
+The supporting data type and subroutine interfaces are defined in the
+module  psb_prec_mod.
 
 
                
 
                
+
+Subsections
+
+
+
+
                
 
 
 
diff --git a/docs/html/node122.html b/docs/html/node122.html
index 0a139a77..641207cd 100644
--- a/docs/html/node122.html
+++ b/docs/html/node122.html
@@ -1,156 +1,136 @@
 
 
-
 
 
-psb_precbld -- Builds a preconditioner
-
+psb_precinit -- Initialize a preconditioner
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_precaply   Preconditioner
- Up: Preconditioner routines
- Previous: psb_precinit   Initialize
-      Next: psb_precbld   Builds
+ Up: Preconditioner routines
+ Previous: Preconditioner routines
+     Contents 
 
                
 
                
 
 
-
                
-psb_precbld -- Builds a preconditioner
+
                
+psb_precinit -- Initialize a  preconditioner
 
                
 
 
                
 
                -call psb_precbld(a, desc_a, prec, info,amold,vmold)
+call psb_precinit(prec, ptype, info)
 
                
 
 
                
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                a
                
-
                the system sparse matrix.
-Scope: local 
+
                ptype
                
+
                the type of preconditioner. 
+Scope: global 
 
                
 Type: required
 
                
-Intent: in, target.
+Intent: in.
 
                
-Specified as: a sparse matrix data structure spdatapsb_Tspmat_type.
+Specified as: a character string, see usage notes.
+
                
+
                On Exit
                
+
                
 
                
 
                prec
                
-
                the preconditioner.
-
                
-Scope: local 
+
                Scope: local 
 
                
 Type: required
 
                
 Intent: inout.
 
                
-Specified as: an already initialized precondtioner data structure precdatapsb_prec_type
-
                
-
                desc_a
                
-
                the problem communication descriptor. 
-Scope: local 
-
                
-Type: required
-
                
-Intent: in, target.
-
                
-Specified as: a communication descriptor data structure descdatapsb_desc_type.
+Specified as: a preconditioner data structure precdatapsb_prec_type.
 
                
-
                amold
                
-
                The desired dynamic type for the internal matrix storage.
-
                
-Scope: local.
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. 
-
                
-
                vmold
                
-
                The desired dynamic type for the internal vector storage.
-
                
-Scope: local.
+
                info
                
+
                Scope: global 
 
                
-Type: optional.
+Type: required
 
                
-Intent: in.
+Intent: out.
 
                
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. 
-
-
                
+Error code: if no error, 0 is returned.
 
                
 
                
-
-
                
+NotesLegal inputs to this subroutine are interpreted depending on the
+$ptype$ string as follows3:
 
                
-
                On Return
                
-
                
+
                NONE
                
+
                No preconditioning, i.e. the preconditioner is just a copy
+  operator.
 
                
-
                prec
                
-
                the preconditioner.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: inout.
-
                
-Specified as: a precondtioner data structure precdatapsb_prec_type
-
                
-
                info
                
-
                Error code.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value; 0 means no error has been detected. 
+
                DIAG
                
+
                Diagonal scaling; each entry of the input vector is
+  multiplied by the reciprocal of the sum of the absolute values of
+  the coefficients in the corresponding row of matrix  $A$;
+
                
+
                BJAC
                
+
                Precondition by a  factorization of the
+  block-diagonal of matrix $A$, where block boundaries are determined
+  by the data allocation boundaries for each process; requires no
+  communication. Only the incomplete factorization $ILU(0)$ is
+  currently implemented.  
 
                
 
                
 
diff --git a/docs/html/node123.html b/docs/html/node123.html
index bf517f50..54484452 100644
--- a/docs/html/node123.html
+++ b/docs/html/node123.html
@@ -1,65 +1,63 @@
 
 
-
 
 
-psb_precaply -- Preconditioner application routine
-
+psb_precbld -- Builds a preconditioner
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_precdescr   Prints
- Up: Preconditioner routines
- Previous: psb_precbld   Builds
-      Next: psb_precaply   Preconditioner
+ Up: Preconditioner routines
+ Previous: psb_precinit   Initialize
+     Contents 
 
                
 
                
 
 
-
                
-psb_precaply -- Preconditioner application
-  routine
+
                
+psb_precbld -- Builds a preconditioner
 
                
 
 
                
 
                -call psb_precaply(prec,x,y,desc_a,info,trans,work)
-call psb_precaply(prec,x,desc_a,info,trans)
+call psb_precbld(a, desc_a, prec, info,amold,vmold)
 
                
 
 
                
@@ -70,54 +68,60 @@ call psb_precaply(prec,x,desc_a,info,trans)
 
                On Entry
                
 
                
 
                
-
                prec
                
-
                the preconditioner.
+
                a
                
+
                the system sparse matrix.
 Scope: local 
 
                
 Type: required
 
                
-Intent: in.
+Intent: in, target.
 
                
-Specified as: a preconditioner data structure precdatapsb_prec_type.
+Specified as: a sparse matrix data structure spdatapsb_Tspmat_type.
 
                
-
                x
                
-
                the source vector.
+
                prec
                
+
                the preconditioner.
+
                
 Scope: local 
 
                
 Type: required
 
                
 Intent: inout.
 
                
-Specified as:  a rank one array or an object of type vdatapsb_T_vect_type. 
-
                
+Specified as: an already initialized precondtioner data structure precdatapsb_prec_type
+
                
 
                desc_a
                
-
                the problem communication descriptor.
+
                the problem communication descriptor. 
 Scope: local 
 
                
 Type: required
 
                
-Intent: in.
+Intent: in, target.
 
                
-Specified as: a communication data structure descdatapsb_desc_type.
+Specified as: a communication descriptor data structure descdatapsb_desc_type.
 
                
-
                trans
                
-
                Scope:  
+
                amold
                
+
                The desired dynamic type for the internal matrix storage.
 
                
-Type: optional
+Scope: local.
+
                
+Type: optional.
 
                
 Intent: in.
 
                
-Specified as: a character.
+Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. 
 
                
-
                work
                
-
                an optional work space
-Scope: local 
+
                vmold
                
+
                The desired dynamic type for the internal vector storage.
 
                
-Type: optional
+Scope: local.
 
                
-Intent: inout.
+Type: optional.
+
                
+Intent: in.
 
                
-Specified as: a double precision array.
+Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. 
+
+
                
 
                
 
 
@@ -126,16 +130,17 @@ Specified as: a double precision array.
 
                On Return
                
 
                
 
                
-
                y
                
-
                the destination vector.
+
                prec
                
+
                the preconditioner.
+
                
 Scope: local 
 
                
 Type: required
 
                
 Intent: inout.
 
                
-Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
-
                
+Specified as: a precondtioner data structure precdatapsb_prec_type
+
                
 
                info
                
 
                Error code.
 
                
diff --git a/docs/html/node124.html b/docs/html/node124.html
index 0be908ea..0c28d446 100644
--- a/docs/html/node124.html
+++ b/docs/html/node124.html
@@ -1,71 +1,71 @@
 
 
-
 
 
-psb_precdescr -- Prints a description of current preconditioner
-
+psb_precaply -- Preconditioner application routine
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: clone   clone
- Up: Preconditioner routines
- Previous: psb_precaply   Preconditioner
-      Next: psb_precdescr   Prints
+ Up: Preconditioner routines
+ Previous: psb_precbld   Builds
+     Contents 
 
                
 
                
 
 
-
                
-psb_precdescr -- Prints a description of current
-  preconditioner
+
                
+psb_precaply -- Preconditioner application
+  routine
 
                
 
 
                
 
                -call psb_precdescr(prec)
-call psb_precdescr(prec, iout)
+call psb_precaply(prec,x,y,desc_a,info,trans,work)
+call psb_precaply(prec,x,desc_a,info,trans)
 
                
 
 
                
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry
                
 
                
@@ -80,15 +80,72 @@ Intent: in.
 
                
 Specified as: a preconditioner data structure precdatapsb_prec_type.
 
                
-
                iout
                
-
                output unit.
+
                x
                
+
                the source vector.
 Scope: local 
 
                
-Type: optiona
+Type: required
+
                
+Intent: inout.
+
                
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type. 
+
                
+
                desc_a
                
+
                the problem communication descriptor.
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a communication data structure descdatapsb_desc_type.
+
                
+
                trans
                
+
                Scope:  
+
                
+Type: optional
 
                
 Intent: in.
 
                
-Specified as: an integer number. 
+Specified as: a character.
+
                
+
                work
                
+
                an optional work space
+Scope: local 
+
                
+Type: optional
+
                
+Intent: inout.
+
                
+Specified as: a double precision array.
+
                
+
                
+
+
                
+
                
+
                On Return
                
+
                
+
                
+
                y
                
+
                the destination vector.
+Scope: local 
+
                
+Type: required
+
                
+Intent: inout.
+
                
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
+
                
+
                info
                
+
                Error code.
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
 
                
 
                
 
diff --git a/docs/html/node125.html b/docs/html/node125.html
index 189dedfd..096269b2 100644
--- a/docs/html/node125.html
+++ b/docs/html/node125.html
@@ -1,62 +1,65 @@
 
 
-
 
 
-clone -- clone current preconditioner
-
+psb_precdescr -- Prints a description of current preconditioner
+
 
 
 
 
-
+
 
 
 
 
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Iterative Methods
- Up: Preconditioner routines
- Previous: psb_precdescr   Prints
-      Next: clone   clone
+ Up: Preconditioner routines
+ Previous: psb_precaply   Preconditioner
+     Contents 
 
                
 
                
 
 
-
                
-clone -- clone  current
+
                
+psb_precdescr -- Prints a description of current
   preconditioner
 
                
 
+
                
 
                -call  prec%clone(precout,info)
+call psb_precdescr(prec)
+call psb_precdescr(prec, iout)
 
                
 
 
                
@@ -69,21 +72,23 @@ call  prec%clone(precout,info)
 
                
 
                prec
                
 
                the preconditioner.
+Scope: local 
 
                
-Scope: local.
-
                
-
-
-
                
-
                
-
                On Return
                
-
                
-
                
-
                precout
                
-
                A copy of the input object.
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a preconditioner data structure precdatapsb_prec_type.
 
                
-
                info
                
-
                Return code. 
+
                iout
                
+
                output unit.
+Scope: local 
+
                
+Type: optiona
+
                
+Intent: in.
+
                
+Specified as: an integer number. 
 
                
 
                
 
diff --git a/docs/html/node126.html b/docs/html/node126.html
index 6ba53b45..adb14c0f 100644
--- a/docs/html/node126.html
+++ b/docs/html/node126.html
@@ -1,78 +1,93 @@
 
 
-
 
 
-Iterative Methods
-
+clone -- clone current preconditioner
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_krylov   Krylov
- Up: userhtml
- Previous: clone   clone
-      Next: Iterative Methods
+ Up: Preconditioner routines
+ Previous: psb_precdescr   Prints
+     Contents 
 
                
 
                
 
 
-
                
-
-
                
-Iterative Methods
-
                
+
                
+clone -- clone  current
+  preconditioner
+
                
+
+
                +call  prec%clone(precout,info)
+
                
 
 
                
-In this chapter we provide routines for preconditioners and iterative
-methods. The interfaces for Krylov subspace methods are available in
-the module psb_krylov_mod.
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                prec
                
+
                the preconditioner.
+
                
+Scope: local.
+
                
+
                
 
 
                
-
                
-
-Subsections
+
                
+
                On Return
                
+
                
+
                
+
                precout
                
+
                A copy of the input object.
+
                
+
                info
                
+
                Return code. 
+
                
+
                
 
-
-
+
                
 
                
 
 
diff --git a/docs/html/node127.html b/docs/html/node127.html
index 8484ef40..d9895aeb 100644
--- a/docs/html/node127.html
+++ b/docs/html/node127.html
@@ -1,394 +1,79 @@
 
 
-
 
 
-psb_krylov -- Krylov Methods Driver Routine
-
+Iterative Methods
+
 
 
 
 
-
+
 
 
 
 
-
-
+
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Bibliography
- Up: Iterative Methods
- Previous: Iterative Methods
-      Next: psb_krylov   Krylov
+ Up: userhtml
+ Previous: clone   clone
+     Contents 
 
                
 
                
 
 
-
                
-
                
-psb_krylov  -- Krylov Methods Driver
-      Routine
-
                
-
-
                
-This subroutine is a driver that provides a general interface for all
-the Krylov-Subspace family methods implemented in PSBLAS version 2. 
-
-
                
-The stopping criterion is the normwise backward error, in the infinity
-norm, i.e. the iteration is stopped when 
-
                
-
                
-
-
-\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath}
-
                
-
                
-
                
-or the 2-norm residual reduction
-
                
-
                
-
-
-\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath}
-
                
-
                
-
                
-according to the value passed through the  istop argument (see
-later). In the above formulae, $x_i$ is the tentative solution and
-$r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration. 
-
-
                
-
                
-\begin{lstlisting}
-call psb_krylov(method,a,prec,b,x,eps,desc_a,info,&
-& itmax,iter,err,itrace,irst,istop,cond)
-\end{lstlisting}
-
                
-
-
                
-
                
-
                Type:
                
-
                Synchronous.
-
                
-
                On Entry
                
-
                
-
                
-
                method
                
-
                a string that defines the iterative method to be
-  used. Supported values are:
-  
                
-
                CG:
                
-
                the Conjugate Gradient method;
-  
-
                
-
                CGS:
                
-
                the Conjugate Gradient Stabilized method;
-
-
                
-
                
-
                BICG:
                
-
                the Bi-Conjugate Gradient method;
-  
-
                
-
                BICGSTAB:
                
-
                the Bi-Conjugate Gradient Stabilized method;
-  
-
                
-
                BICGSTABL:
                
-
                the Bi-Conjugate Gradient Stabilized method with restarting;
-  
-
                
-
                RGMRES:
                
-
                the Generalized Minimal Residual method with restarting.
-  
-
                
-
                
-
                
-
                a
                
-
                the local portion of global sparse matrix
-$A$. 
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
-
                prec
                
-
                The data structure containing the preconditioner.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a structured data of type precdatapsb_prec_type.
-
                
-
                b
                
-
                The RHS vector. 
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
-
                
-
                x
                
-
                The initial guess. 
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: inout.
-
                
-Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
-
                
-
                eps
                
-
                The stopping tolerance. 
-
                
-Scope: global 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a real number. 
-
                
-
                desc_a
                
-
                contains data structures for communications.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a structured data of type descdatapsb_desc_type.
-
                
-
                itmax
                
-
                The maximum number of iterations to perform.
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Default: $itmax = 1000$.
-
                
-Specified as: an integer variable $itmax \ge 1$.
-
                
-
                itrace
                
-
                If $>0$ print out an informational message about
-  convergence  every $itrace$ iterations.
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-
                irst
                
-
                An integer specifying the restart parameter.
-
                
-Scope: global 
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES
-methods, otherwise it is ignored. 
-
-
                
-
                
-
                istop
                
-
                An integer specifying the stopping criterion.
-
                
-Scope: global 
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Values: 1: use the normwise backward error, 2: use the scaled 2-norm
-of the residual. Default: 2. 
-
                
-
                On Return
                
-
                
-
                
-
                x
                
-
                The computed solution. 
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: inout.
-
                
-Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
-
                
-
                iter
                
-
                The number of iterations performed.
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: out.
-
                
-Returned  as: an integer variable.
-
                
-
                err
                
-
                The convergence estimate on exit.
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: out.
-
                
-Returned  as: a real number.
-
                
-
                cond
                
-
                An estimate of the condition number of matrix $A$; only
-  available with the $CG$ method.
+
                
+
 
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: out.
-
                
-Returned  as: a real number.
-
                
-
                info
                
-
                Error code.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value; 0 means no error has been detected. 
-
                
-
                
-
-
                
+Iterative Methods
+
 
 
                
+In this chapter we provide routines for preconditioners and iterative
+methods. The interfaces for Krylov subspace methods are available in
+the module psb_krylov_mod.
 
 
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: Bibliography
- Up: Iterative Methods
- Previous: Iterative Methods
-     Contents 
-
+
                
+
+Subsections
+
+
+
+
                
 
 
 
diff --git a/docs/html/node128.html b/docs/html/node128.html
index 7cd5f15e..72ccc9cd 100644
--- a/docs/html/node128.html
+++ b/docs/html/node128.html
@@ -1,183 +1,396 @@
 
 
-
 
 
-Bibliography
-
+psb_krylov -- Krylov Methods Driver Routine
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: About this document ...
- Up: userhtml
- Previous: psb_krylov   Krylov
-      Next: Bibliography
+ Up: Iterative Methods
+ Previous: Iterative Methods
+     Contents 
-

                
+
                
+
                
 
- 
-
                
-Bibliography
-
                1
-
                
- D. Barbieri, V. Cardellini, S. Filippone and D. Rouson
-Design Patterns for Scientific Computations on Sparse Matrices,
- HPSS 2011, Algorithms and Programming Tools for Next-Generation High-Performance Scientific Software, Bordeaux, Sep. 2011
+
+
                
+
                
+psb_krylov  -- Krylov Methods Driver
+      Routine
+
                
 
 
                
-
                2
-
                
-G. Bella, S. Filippone, A. De Maio and M. Testa,
-A Simulation Model for Forest Fires,
-in J. Dongarra, K. Madsen, J. Wasniewski, editors,
-Proceedings of PARA 04 Workshop on State of the Art
-in Scientific Computing, pp. 546-553, Lecture Notes in Computer Science,
-Springer, 2005.
-
                3
-
                 A. Buttari, D. di Serafino, P. D'Ambra, S. Filippone,
                
-2LEV-D2P4: a package of high-performance preconditioners,
                
-Applicable Algebra in Engineering, Communications and Computing, 
-Volume 18, Number 3, May, 2007, pp.  223-239
-
                4
-
                  P. D'Ambra, S. Filippone,  D. Di Serafino
                
-On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners
-
                
-Applied Numerical Mathematics, Elsevier Science, 
-Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196.
+This subroutine is a driver that provides a general interface for all
+the Krylov-Subspace family methods implemented in PSBLAS version 2. 
+
+
                
+The stopping criterion is the normwise backward error, in the infinity
+norm, i.e. the iteration is stopped when 
+
                
+
                
+
+
+\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath}
+
                
+
                
+
                
+or the 2-norm residual reduction
+
                
+
                
+
+
+\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath}
+
                
+
                
+
                
+according to the value passed through the  istop argument (see
+later). In the above formulae, $x_i$ is the tentative solution and
+$r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration. 
 
 
                
-
                5
-
                
- Dongarra, J. J.,  DuCroz, J.,  Hammarling, S. and Hanson, R.,
-An Extended Set of Fortran Basic Linear Algebra Subprograms,
-ACM Trans. Math. Softw. vol. 14, 1-17, 1988.
-
                6
-
                
-  Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I.,
-A  Set of level 3 Basic Linear Algebra Subprograms,
-ACM Trans. Math. Softw. vol. 16, 1-17, 1990.
-
                7
-
                
-J. J. Dongarra and R. C. Whaley,
-A User's Guide to the BLACS v. 1.1,
-Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of
-Tennessee, March 1995 (updated May 1997).
-
                8
-
                
-I. Duff, M. Marrone, G. Radicati and C. Vittoli,
-Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: 
-a User Level Interface,
-ACM Transactions on Mathematical Software, 23(3), pp. 379-401, 1997.
-
                9
-
                
-I. Duff, M. Heroux and R. Pozo,
-An Overview of the Sparse Basic Linear
-Algebra Subprograms: the New Standard from the BLAS Technical Forum,
-ACM Transactions on Mathematical Software, 28(2), pp. 239-267, 2002.
-
                10
-
                
-S. Filippone and M. Colajanni, 
-PSBLAS: A Library for Parallel Linear Algebra
-Computation on Sparse Matrices,
 
                
-ACM Transactions on Mathematical Software, 26(4), pp. 527-550, 2000.
-
                11
-
                
-S. Filippone and A. Buttari, 
-Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003,
+\begin{lstlisting}
+call psb_krylov(method,a,prec,b,x,eps,desc_a,info,&
+& itmax,iter,err,itrace,irst,istop,cond)
+\end{lstlisting}
 
                
-ACM Transactions on Mathematical Software, 38(4), 2012.
-
                12
-
                
-S. Filippone, P. D'Ambra, M. Colajanni,
-Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics 
-Applications Code on Linux Clusters,
-in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors,
-Parallel Computing - Advances & Current Issues,
-pp. 441-448, Imperial College Press, 2002. 
-
                13
-
                
- Gamma, E.,  Helm, R.,  Johnson, R.,  and  Vlissides,
-  J. 1995.
- Design Patterns: Elements of Reusable Object-Oriented Software.
- Addison-Wesley.
 
 
                
-
                14
-
                
-Karypis, G. and Kumar, V.,
-METIS: Unstructured Graph Partitioning and Sparse Matrix
-  Ordering System.
-Minneapolis, MN 55455: University of Minnesota, Department of
-  Computer Science, 1995. 
-Internet Address: http://www.cs.umn.edu/~karypis.
-
                15
+
                
+
                Type:
                
+
                Synchronous.
+
                
+
                On Entry
                
 
                
-Lawson, C.,  Hanson, R., Kincaid, D. and Krogh, F.,
-   Basic Linear Algebra Subprograms for Fortran usage,
-ACM Trans. Math. Softw. vol. 5, 38-329, 1979.
+
                
+
                method
                
+
                a string that defines the iterative method to be
+  used. Supported values are:
+  
                
+
                CG:
                
+
                the Conjugate Gradient method;
+  
+
                
+
                CGS:
                
+
                the Conjugate Gradient Stabilized method;
 
 
                
-
                16
-
                
-Machiels, L. and Deville, M.
-Fortran 90: An entry to object-oriented programming for the solution
-  of partial differential equations.
-ACM Trans. Math. Softw. vol. 23, 32-49.
-
                17
-
                
-Metcalf, M., Reid, J. and Cohen, M.
-Fortran 95/2003 explained.
-Oxford University Press, 2004.
-
                18
-
                
-Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The
-  Object-Oriented Way. Cambridge University Press (2011)
+
                
+
                BICG:
                
+
                the Bi-Conjugate Gradient method;
+  
+
                
+
                BICGSTAB:
                
+
                the Bi-Conjugate Gradient Stabilized method;
+  
+
                
+
                BICGSTABL:
                
+
                the Bi-Conjugate Gradient Stabilized method with restarting;
+  
+
                
+
                RGMRES:
                
+
                the Generalized Minimal Residual method with restarting.
+  
+
                
+
                
+
                
+
                a
                
+
                the local portion of global sparse matrix
+$A$. 
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
+
                prec
                
+
                The data structure containing the preconditioner.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a structured data of type precdatapsb_prec_type.
+
                
+
                b
                
+
                The RHS vector. 
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
+
                
+
                x
                
+
                The initial guess. 
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: inout.
+
                
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
+
                
+
                eps
                
+
                The stopping tolerance. 
+
                
+Scope: global 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a real number. 
+
                
+
                desc_a
                
+
                contains data structures for communications.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a structured data of type descdatapsb_desc_type.
+
                
+
                itmax
                
+
                The maximum number of iterations to perform.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Default: $itmax = 1000$.
+
                
+Specified as: an integer variable $itmax \ge 1$.
+
                
+
                itrace
                
+
                If $>0$ print out an informational message about
+  convergence  every $itrace$ iterations.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+
                irst
                
+
                An integer specifying the restart parameter.
+
                
+Scope: global 
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES
+methods, otherwise it is ignored. 
 
 
                
-
                19
+
+
                istop
                
+
                An integer specifying the stopping criterion.
+
                
+Scope: global 
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Values: 1: use the normwise backward error, 2: use the scaled 2-norm
+of the residual. Default: 2. 
+
                
+
                On Return
                
 
                
-M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra,
-MPI: The Complete Reference. Volume 1 - The MPI Core, second edition,
-MIT Press, 1998.
+
                
+
                x
                
+
                The computed solution. 
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: inout.
+
                
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
+
                
+
                iter
                
+
                The number of iterations performed.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: out.
+
                
+Returned  as: an integer variable.
+
                
+
                err
                
+
                The convergence estimate on exit.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: out.
+
                
+Returned  as: a real number.
+
                
+
                cond
                
+
                An estimate of the condition number of matrix $A$; only
+  available with the $CG$ method on real data.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: out.
+
                
+Returned  as: a real number. A correct result will be greater than or
+equal to one; if specified for non-real data, or an error occurred,
+zero is returned.
+
                
+
                info
                
+
                Error code.
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
+
                
 
                
 
 
                
-
                
+
+
                
+
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: Bibliography
+ Up: Iterative Methods
+ Previous: Iterative Methods
+     Contents 
+
 
 
 
diff --git a/docs/html/node13.html b/docs/html/node13.html
index 4753c381..036b030f 100644
--- a/docs/html/node13.html
+++ b/docs/html/node13.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
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-
 contents  
 
                
- Next:  Next: get_global_rows   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: get_local_rows   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node14.html b/docs/html/node14.html
index 424cbcf2..0cf6b360 100644
--- a/docs/html/node14.html
+++ b/docs/html/node14.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
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- Next:  Next: get_global_cols   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: get_local_cols   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node15.html b/docs/html/node15.html
index b7e7ea79..c867e01b 100644
--- a/docs/html/node15.html
+++ b/docs/html/node15.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
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-
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- Next:  Next: get_global_indices   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: get_global_rows   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node16.html b/docs/html/node16.html
index 7c24d80a..6f467912 100644
--- a/docs/html/node16.html
+++ b/docs/html/node16.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
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-
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- Next:  Next: get_context   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: get_global_cols   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node17.html b/docs/html/node17.html
index e7ed959c..ce363e9e 100644
--- a/docs/html/node17.html
+++ b/docs/html/node17.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
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-
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- Next:  Next: Clone   clone
- Up:  Up: Descriptor data structure
- Previous:  Previous: get_global_indices   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node18.html b/docs/html/node18.html
index 2ab05633..7c6c9313 100644
--- a/docs/html/node18.html
+++ b/docs/html/node18.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
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-
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-
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- Next:  Next: psb_cd_get_large_threshold   Get
- Up:  Up: Descriptor data structure
- Previous:  Previous: get_context   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node19.html b/docs/html/node19.html
index 783e4418..245cae8e 100644
--- a/docs/html/node19.html
+++ b/docs/html/node19.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
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-
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-
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- Next:  Next: psb_cd_set_large_threshold   Set
- Up:  Up: Descriptor data structure
- Previous:  Previous: Clone   clone
-       Contents 
 
                
 
                
diff --git a/docs/html/node2.html b/docs/html/node2.html
index cfc485b0..12ae2cda 100644
--- a/docs/html/node2.html
+++ b/docs/html/node2.html
@@ -1,6 +1,6 @@
 
 
-
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-
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-
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- Up:  Up: userhtml
- Previous:  Previous: Contents
-       Contents 
 
                
 
                
@@ -71,7 +71,7 @@ passing.
 
                
 The PSBLAS library version 3 is  implemented in
  the Fortran 2003 [17] programming language, with reuse and/or
+ HREF="node129.html#metcalf">17] programming language, with reuse and/or
  adaptation of  existing Fortran 77 and Fortran 95 software, plus a
  handful of C  routines. 
 
@@ -81,11 +81,11 @@ mostly in the handling of requirements for evolution and adaptation of
 the library to new computing architectures and integration of
 new algorithms. 
 For a detailed discussion of our design see [11]; other
+ HREF="node129.html#Sparse03">11]; other
 works discussing advanced programming in Fortran 2003
 include [1,18]; sufficient support for
+ HREF="node129.html#DesPat:11">1,18]; sufficient support for
 Fortran 2003 is now available from many compilers, including the GNU
 Fortran compiler from the Free Software Foundation (as of version 4.6). 
 
@@ -94,7 +94,7 @@ Previous approaches have been based on mixing Fortran 95, with its
 support for object-based design, with other languages; these have
 been advocated by a number of authors, 
 e.g. [16].  Moreover, the Fortran 95 facilities for dynamic
+ HREF="node129.html#machiels">16].  Moreover, the Fortran 95 facilities for dynamic
 memory management and interface overloading greatly enhance the
 usability of the PSBLAS 
 subroutines. In this way, the library can take care of runtime memory
@@ -105,12 +105,12 @@ implementation or compilation time.
 The presentation of the
 PSBLAS library follows the general structure of the proposal for
 serial Sparse BLAS [8,9], which in its turn is based on the
+ HREF="node129.html#sblas97">8,9], which in its turn is based on the
 proposal for BLAS on dense matrices [15,5,6].
+ HREF="node129.html#BLAS1">15,5,6].
 
 
                
 The applicability of sparse iterative solvers to many different areas
@@ -144,26 +144,26 @@ computational fluid dynamics applications.
 
                
 
                
 
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diff --git a/docs/html/node20.html b/docs/html/node20.html
index 44f3378a..bc13c908 100644
--- a/docs/html/node20.html
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@@ -1,6 +1,6 @@
 
 
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- Previous:  Previous: psb_cd_get_large_threshold   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node21.html b/docs/html/node21.html
index 7cfeaa36..399d621a 100644
--- a/docs/html/node21.html
+++ b/docs/html/node21.html
@@ -1,6 +1,6 @@
 
 
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- Up:  Up: Descriptor data structure
- Previous:  Previous: psb_cd_set_large_threshold   Set
-       Contents 
 
                
 
                
@@ -59,6 +59,9 @@ Named Constants
 
                psb_none_
                
 
                Generic no-op;
 
                
+
                psb_root_
                
+
                Default root process for broadcast and scatter operations;
+
                
 
                psb_nohalo_
                
 
                Do not fetch halo elements;
 
                
diff --git a/docs/html/node22.html b/docs/html/node22.html
index 8a1a62da..6db8ce22 100644
--- a/docs/html/node22.html
+++ b/docs/html/node22.html
@@ -1,6 +1,6 @@
 
 
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- Up:  Up: Data Structures and Classes
- Previous:  Previous: Named Constants
-       Contents 
 
                
 
                
@@ -60,9 +60,9 @@ The spdatapsb_Tspmat_type class
 contains all information about the local portion of the sparse matrix and   
 its storage mode. Its design is 
 based on the STATE design pattern [13] as detailed
+ HREF="node129.html#DesignPatterns">13] as detailed
 in [11]; the type declaration is shown in
+ HREF="node129.html#Sparse03">11]; the type declaration is shown in
 figure 4 where T is a placeholder for the
 data type and precision variants 
 
                
@@ -85,12 +85,13 @@ specific layout can be chosen dynamically among the predefined types,
 or an entirely new storage layout can be implemented and passed to the
 library at runtime via the psb_spasb routine. 
 
-
                
+
                
 
-
                
 Figure 4:
     The PSBLAS defined data type that
     contains a sparse matrix.
                
+
                
+
                
 
                
 
                
 
                @@ -144,71 +145,71 @@ variants are obtained by conversion to/from it.
 Subsections
 
 
 
 
                
 
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diff --git a/docs/html/node23.html b/docs/html/node23.html
index a45720e4..033d0a24 100644
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diff --git a/docs/html/node24.html b/docs/html/node24.html
index 46c8a971..e3c7f1d5 100644
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diff --git a/docs/html/node25.html b/docs/html/node25.html
index 243aa682..b83f7b29 100644
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diff --git a/docs/html/node26.html b/docs/html/node26.html
index 989aea10..80934e79 100644
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diff --git a/docs/html/node27.html b/docs/html/node27.html
index 91464dc0..5a95ee4c 100644
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diff --git a/docs/html/node28.html b/docs/html/node28.html
index 2dc631fa..2d0c764d 100644
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diff --git a/docs/html/node29.html b/docs/html/node29.html
index e9bbedde..8b6592b7 100644
--- a/docs/html/node29.html
+++ b/docs/html/node29.html
@@ -1,6 +1,6 @@
 
 
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- Up:  Up: Sparse Matrix class
- Previous:  Previous: sizeof   Get
-       Contents 
 
                
 
                
diff --git a/docs/html/node3.html b/docs/html/node3.html
index c43e156d..8b39f865 100644
--- a/docs/html/node3.html
+++ b/docs/html/node3.html
@@ -1,6 +1,6 @@
 
 
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- Up:  Up: userhtml
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-       Contents 
 
                
 
                
@@ -78,11 +78,10 @@ calls to the serial sparse BLAS subroutines.
 In a similar way, the inter-process message exchanges are encapsulated
 in an applicaiton layer that has been strongly inspired by the  Basic
 Linear Algebra Communication Subroutines (BLACS) library [7].  
+ HREF="node129.html#BLACS">7].  
 Usually  there is no need to deal directly with MPI;  however, in some
 cases, MPI routines are used directly to improve efficiency. For
-further details on our communication layer see Sec. 7.
-
+further details on our communication layer see Sec. 7.
 
                
 
 
                
@@ -127,14 +126,13 @@ is equivalent to a partition of the discretization mesh into sub-domainsCYCLIC(N) and BLOCK, 
+This choice is consistent with simple  data distributions such as  CYCLIC(N) and BLOCK, 
 as well as completely arbitrary assignments of
 equation indices to processes. 
 In particular it is consistent with the
 usage of graph partitioning tools commonly available in the
 literature, e.g. METIS [14].
+ HREF="node129.html#METIS">14].
 Dense vectors  conform  to sparse
 matrices, that is, the entries of a vector follow the same distribution
 of the matrix rows.  
@@ -154,43 +152,43 @@ bottleneck would make this option unattractive in most  cases.
 Subsections
 
 
 
 
                
 
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-       Contents 
 
 
diff --git a/docs/html/node30.html b/docs/html/node30.html
index f3da0088..35244d82 100644
--- a/docs/html/node30.html
+++ b/docs/html/node30.html
@@ -1,6 +1,6 @@
 
 
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- Next:  Next: is_lower, is_upper, is_triangle, is_unit
- Up:  Up: Sparse Matrix class
- Previous:  Previous: get_fmt   Short
-       Contents 
 
                
 
                
@@ -59,7 +59,7 @@ is_bld, is_upd, is_asb  -- Status check
 
                 if (a%is_bld()) then 
 if (a%is_upd()) then 
-if (a%is_asb()) then 
+if (a%is_asb()) then
 
                
 
 
                
diff --git a/docs/html/node31.html b/docs/html/node31.html
index 680b7c5b..5c819e62 100644
--- a/docs/html/node31.html
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@@ -1,6 +1,6 @@
 
 
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-       Contents 
 
                
 
                
@@ -61,7 +61,7 @@ is_lower, is_upper, is_triangle, is_unit  --
 if (a%is_triangle()) then 
 if (a%is_upper()) then 
 if (a%is_lower()) then 
-if (a%is_unit()) then 
+if (a%is_unit()) then
 
                
 
 
                
diff --git a/docs/html/node32.html b/docs/html/node32.html
index 901f3e4e..d18ce4f2 100644
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+++ b/docs/html/node32.html
@@ -1,6 +1,6 @@
 
 
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-       Contents 
 
                
 
                
diff --git a/docs/html/node33.html b/docs/html/node33.html
index 8a974231..f2b61cdc 100644
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diff --git a/docs/html/node34.html b/docs/html/node34.html
index 073a4f97..ded19a2b 100644
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diff --git a/docs/html/node35.html b/docs/html/node35.html
index 62c33864..682afc90 100644
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diff --git a/docs/html/node36.html b/docs/html/node36.html
index 58884288..bdcc6831 100644
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diff --git a/docs/html/node37.html b/docs/html/node37.html
index 035ad5de..e115b933 100644
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diff --git a/docs/html/node38.html b/docs/html/node38.html
index 9897d333..7dd200a2 100644
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diff --git a/docs/html/node39.html b/docs/html/node39.html
index 02a3ad98..2329f4df 100644
--- a/docs/html/node39.html
+++ b/docs/html/node39.html
@@ -1,6 +1,6 @@
 
 
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-       Contents 
 
                
 
                
diff --git a/docs/html/node4.html b/docs/html/node4.html
index 6510dd1b..b105daab 100644
--- a/docs/html/node4.html
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@@ -126,8 +126,8 @@ Overlap points do not usually exist in the basic data
 distributions; however they are a feature of Domain Decomposition
 Schwarz preconditioners which are the subject of related research
 work [4,3].
+ HREF="node129.html#2007c">4,3].
 
 
                
 We denote the sets of  internal, boundary and halo points for a given
@@ -135,7 +135,7 @@ subdomain  by $\cal I$, $\cal B$ and 
 
                
 
                
 \includegraphics[scale=0.65]{figures/points.eps}
 
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diff --git a/docs/html/node40.html b/docs/html/node40.html
index 9eb332eb..76c05d27 100644
--- a/docs/html/node40.html
+++ b/docs/html/node40.html
@@ -1,6 +1,6 @@
 
 
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- Up:  Up: Sparse Matrix class
- Previous:  Previous: clone   Clone
-       Contents 
 
                
 
                
diff --git a/docs/html/node41.html b/docs/html/node41.html
index aa6441b8..960561bf 100644
--- a/docs/html/node41.html
+++ b/docs/html/node41.html
@@ -1,6 +1,6 @@
 
 
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@@ -60,7 +60,7 @@ The vdatapsb_T_vect_type data structure
 encapsulates the dense vectors in a way similar to sparse matrices,
 i.e. including a base type vbasedata    psb_T_base_vect_type.  
 The user will not, in general, access the vector components directly,
-but rather via the routines of sec. 6. Among other
+but rather via the routines of sec. 6. Among other
 simple things, we define here an extraction method that can be used to
 get a full copy of the part of the vector stored on the local
 process. 
@@ -93,12 +93,13 @@ available elsewhere outside the direct control of the
 compiler/application, e.g. data stored in a graphics  accelerator's
 private memory. 
 
-
                
+
                
 
-
                
 Figure 5:
     The PSBLAS defined data type that
     contains a dense vector.
                
+
                
+
                
 
                
 
                
 
                @@ -122,41 +123,41 @@ private memory.
 Subsections
 
 
 
 
                
 
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-       Contents 
 
 
diff --git a/docs/html/node42.html b/docs/html/node42.html
index c09438b8..c69dbddf 100644
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diff --git a/docs/html/node43.html b/docs/html/node43.html
index d3b2b20e..dbeba09b 100644
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diff --git a/docs/html/node45.html b/docs/html/node45.html
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diff --git a/docs/html/node46.html b/docs/html/node46.html
index d1bd01d2..319cadd9 100644
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diff --git a/docs/html/node47.html b/docs/html/node47.html
index 757db90d..221a1cb9 100644
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- Up:  Next: Heap data structure
+ Up: Data Structures and Classes
- Previous:  Previous: clone   Clone
-       Contents 
 
                
 
                
@@ -66,11 +67,12 @@ data type may contain a simple preconditioning matrix with the
 associated communication descriptor.The internal preconditioner is allocated appropriately with the
 dynamic type corresponding to the desired preconditioner. 
 
-
                
+
                
 
-
                
 Figure 6:
 The PSBLAS defined data type that contains a preconditioner.
                  
+
                  
+
 
                
 
                
 
                diff --git a/docs/html/node48.html b/docs/html/node48.html
index 27293ed5..b2aa07f2 100644
--- a/docs/html/node48.html
+++ b/docs/html/node48.html
@@ -1,95 +1,99 @@
 
 
-
 
 
-Computational routines
-
+Heap data structure
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
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-
+
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- Next: psb_geaxpby   General
- Up: userhtml
- Previous:  Next: Computational routines
+ Up: Data Structures and Classes
+ Previous: Preconditioner data structure
-       Contents 
 
                
 
                
 
 
-
                
-Computational routines
-
                
+
                
+Heap data structure
+
                
 
 
                
-
                
-
-Subsections
+Among the tools routines of sec. 6, we have a number
+of sorting utilities; the heap sort is implemented in terms of heaps
+having the following signatures:
+
                
+
                psb_T_heap
                
+
                : a heap containing elements of type T, where T
+  can be i,s,c,d,z for integer, real and complex data;
+
                
+
                psb_T_idx_heap
                
+
                : a heap containing elements of type T, as
+  above, together with an integer index.
+
                
+
                
+Given a heap object, the following methods are defined on it:
+
                
+
                init
                
+
                Initialize memory; also choose ascending or descending
+  order;
+
                
+
                howmany
                
+
                Current heap occupancy;
+
                
+
                insert
                
+
                Add an item (or an item and its index);
+
                
+
                get_first
                
+
                Remove and return the first element;
+
                
+
                dump
                
+
                Print on file;
+
                
+
                free
                
+
                Release memory.
+
                
+
                
+These objects are used in MLD2P4 to implement the factorization
+algorithms. 
 
-
-
+
                
 
                
 
 
diff --git a/docs/html/node49.html b/docs/html/node49.html
index e4362f61..cc0487f9 100644
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+++ b/docs/html/node49.html
@@ -1,281 +1,96 @@
 
 
-
 
 
-psb_geaxpby -- General Dense Matrix Sum
-
+Computational routines
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
+
 
 
 
 
 
-
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+
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- Up: Computational routines
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-      Next: psb_geaxpby   General
+ Up: userhtml
+ Previous: Heap data structure
+     Contents 
 
                
 
                
 
 
-
                
-psb_geaxpby -- General Dense Matrix Sum
-
                
-
-
                
-This subroutine is an interface to the computational kernel for
-dense matrix sum:
-
                
-
                
-
-
-\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}
-
                
-
                
-
                 
-
-
                
-
                -call psb_geaxpby(alpha, x, beta, y, desc_a, info)
-
                
-
-
                
-
                
-
                
-
-
-
-
                Table 1:
-Data types
                
-
                
-
-
-
-
-
-
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-
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-
                $x$, $y$, $\alpha$, $\beta$Subroutine
                Short Precision Realpsb_geaxpby
                Long Precision Realpsb_geaxpby
                Short Precision Complexpsb_geaxpby
                Long Precision Complexpsb_geaxpby
                
-
                
-
                
-
                
-
                
-
-
                
-
                
-
                Type:
                
-
                Synchronous.
-
                
-
                On Entry
                
-
                
-
                
-
                alpha
                
-
                the scalar $\alpha$.
-
                
-Scope: global 
-
                
-Type: required 
-
                
-Intent: in.
-
                
-Specified as: a number of the data type indicated in Table 1.
-
                
-
                x
                
-
                the local portion of global dense matrix
-$x$.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: in.
-
                
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
-containing numbers of type 
-specified in Table 1.  The rank of $x$ must be the same of $y$. 
-
                
-
                beta
                
-
                the scalar $\beta$.
-
                
-Scope: global 
-
                
-Type: required 
-
                
-Intent: in.
-
                
-Specified as: a number of the data type indicated in Table 1.
-
                
-
                y
                
-
                the local portion of the global dense matrix
-$y$. 
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: inout.
-
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type  containing numbers of the type 
-indicated in Table 1.  The rank of $y$ must be the same of $x$. 
-
                
-
                desc_a
                
-
                contains data structures for communications.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: an object of type descdatapsb_desc_type.
-
-
                
-
                
-
                
+
                
+Computational routines
+
                
 
 
                
-
                
-
                On Return
                
-
                
-
                
-
                y
                
-
                the local portion of result submatrix $y$.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: inout.
-
                
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of the type
-indicated in Table 1.
-
                
-
                info
                
-
                Error code.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value; 0 means no error has been detected. 
-
                
-
                
+
                
+
+Subsections
 
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_gedot   Dot
- Up: Computational routines
- Previous: Computational routines
-     Contents 
-
+
+
+
                
 
 
 
diff --git a/docs/html/node5.html b/docs/html/node5.html
index fb5da7f7..c5d5050b 100644
--- a/docs/html/node5.html
+++ b/docs/html/node5.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Application structure
- Up:  Up: General overview
- Previous:  Previous: Basic Nomenclature
-       Contents 
 
                
 
                
@@ -128,7 +128,7 @@ internally defined in the PSBLAS software package:
 
 
   For example the psb_geins, psb_spins and
-  psb_cdins perform the same action (see 6) on
+  psb_cdins perform the same action (see 6) on
   dense matrices, sparse matrices and communication descriptors
   respectively.
   Interface overloading allows the usage of the same subroutine
@@ -169,26 +169,26 @@ whose current value is 3.0.0
 
                
 
                
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Application structure
- Up:  Up: General overview
- Previous:  Previous: Basic Nomenclature
-       Contents 
 
 
diff --git a/docs/html/node50.html b/docs/html/node50.html
index 7fb387f4..d1703b0e 100644
--- a/docs/html/node50.html
+++ b/docs/html/node50.html
@@ -1,151 +1,117 @@
 
 
-
 
 
-psb_gedot -- Dot Product
-
+psb_geaxpby -- General Dense Matrix Sum
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_gedots   Generalized
- Up: Computational routines
- Previous: psb_geaxpby   General
-      Next: psb_gedot   Dot
+ Up: Computational routines
+ Previous: Computational routines
+     Contents 
 
                
 
                
 
 
-
                
-psb_gedot -- Dot Product
+
                
+psb_geaxpby -- General Dense Matrix Sum
 
                
 
 
                
-This function computes dot product between two vectors $x$ and
-$y$.
-
                
-If $x$ and $y$ are real vectors
-it computes dot-product as:
-
                
-
                
-
-
-\begin{displaymath}dot \leftarrow x^T y\end{displaymath}
-
                
-
                
-
                
-Else if $x$ and $y$ are complex vectors then it computes dot-product as:
+This subroutine is an interface to the computational kernel for
+dense matrix sum:
 
                
 
                
 
 
 \begin{displaymath}dot \leftarrow x^H y\end{displaymath}
+ WIDTH="93" HEIGHT="27" BORDER="0"
+ SRC="img19.png"
+ ALT="\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}">
 
                
 
                
-
                
-
+
                 
 
                
 
                -psb_gedot(x, y, desc_a, info)
+call psb_geaxpby(alpha, x, beta, y, desc_a, info)
 
                
+
                
 
                
-
                
+
                
 
-
                Table 2:
+Table 1:
 Data types
 
                
 
                
 
-
+ ALT="$y$">, $\alpha$, $\beta$
+
-
+
-
+
-
+
-
+
                
 
                $dot$, $x$, $y$FunctionSubroutine
 
                
 
                Short Precision Realpsb_gedotpsb_geaxpby
 
                
 
                Long Precision Realpsb_gedotpsb_geaxpby
 
                
 
                Short Precision Complexpsb_gedotpsb_geaxpby
 
                
 
                Long Precision Complexpsb_gedotpsb_geaxpby
 
                
 
                
 
                
@@ -162,10 +128,24 @@ Data types
 
                On Entry
                
 
                
 
                
+
                alpha
                
+
                the scalar $\alpha$.
+
                
+Scope: global 
+
                
+Type: required 
+
                
+Intent: in.
+
                
+Specified as: a number of the data type indicated in Table 1.
+
                
 
                x
                
 
                the local portion of global dense matrix
 $x$.
 
                
@@ -175,18 +155,32 @@ Type: required
 
                
 Intent: in.
 
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
-containing numbers of type specified in
-Table 2. The rank of psb_T_vect_type 
+containing numbers of type 
+specified in Table 1.  The rank of $x$ must be the same of $y$. 
 
                
+
                beta
                
+
                the scalar $\beta$.
+
                
+Scope: global 
+
                
+Type: required 
+
                
+Intent: in.
+
                
+Specified as: a number of the data type indicated in Table 1.
+
                
 
                y
                
-
                the local portion of global dense matrix
+
                the local portion of the global dense matrix
 local
 
                
 Type: required 
 
                
-Intent: in.
+Intent: inout.
 
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
-containing numbers of type specified in
-Table 2. The rank of psb_T_vect_type  containing numbers of the type 
+indicated in Table 1.  The rank of $y$ must be the same of $x$. 
 
                
@@ -218,24 +211,29 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
-
 
                
 
+
+
+
                
+
                
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                is the dot product of subvectors $x$ and y
+
                the local portion of result submatrix $y$.
 
                
-Scope: global 
+Scope: local 
 
                
-Specified as: a number of the data type indicated in Table 2.
+Type: required 
+
                
+Intent: inout.
+
                
+Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of the type
+indicated in Table 1.
 
                
 
                info
                
 
                Error code.
@@ -253,26 +251,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_gedots   Generalized
- Up: Computational routines
- Previous: psb_geaxpby   General
-      Next: psb_gedot   Dot
+ Up: Computational routines
+ Previous: Computational routines
+     Contents 
 
 
diff --git a/docs/html/node51.html b/docs/html/node51.html
index 8892066f..2b5141c4 100644
--- a/docs/html/node51.html
+++ b/docs/html/node51.html
@@ -1,136 +1,150 @@
 
 
-
 
 
-psb_gedots -- Generalized Dot Product
-
+psb_gedot -- Dot Product
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_normi   Infinity-Norm
- Up: Computational routines
- Previous: psb_gedot   Dot
-      Next: psb_gedots   Generalized
+ Up: Computational routines
+ Previous: psb_geaxpby   General
+     Contents 
 
                
 
                
 
 
-
                
-psb_gedots -- Generalized Dot Product
+
                
+psb_gedot -- Dot Product
 
                
 
 
                
-This subroutine computes a series of  dot products among the columns of
-two dense matrices  $x$ and
+$y$.
+
                
+If $x$ and $y$: 
+ ALT="$y$"> are real vectors
+it computes dot-product as:
 
                
 
                
 
 
 \begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}
+ WIDTH="74" HEIGHT="27" BORDER="0"
+ SRC="img24.png"
+ ALT="\begin{displaymath}dot \leftarrow x^T y\end{displaymath}">
 
                
 
                
 
                
-If the matrices are complex, then the
-usual convention applies, i.e. the conjugate transpose of $x$ is
-used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it
-is a rank one array. 
+ ALT="$y$"> are complex vectors then it computes dot-product as:
+
                
+
                
+
 
+\begin{displaymath}dot \leftarrow x^H y\end{displaymath}
+
                
+
                
+
                
 
                
 
                -call psb_gedots(res, x, y, desc_a, info)
+psb_gedot(x, y, desc_a, info)
 
                
 
                
-
                
+
                
 
-
                Table 3:
+Table 2:
 Data types
 
                
 
                
 
-
+
-
+
-
+
-
+
-
+
                
 
                $res$, $dot$, $x$, $y$SubroutineFunction
 
                
 
                Short Precision Realpsb_gedotspsb_gedot
 
                
 
                Long Precision Realpsb_gedotspsb_gedot
 
                
 
                Short Precision Complexpsb_gedotspsb_gedot
 
                
 
                Long Precision Complexpsb_gedotspsb_gedot
 
                
 
                
 
                
@@ -150,9 +164,9 @@ Data types
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
+ ALT="$x$">.
 
                
 Scope: local 
 
                
@@ -162,8 +176,8 @@ Intent: in.
 
                
 Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 3. The rank of 2. The rank of $x$ must be the same of in.
 
                
 Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 3. The rank of 2. The rank of $y$ must be the same of $x$. 
 
                
@@ -203,13 +217,14 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
+
                
 
 
                On Return
                
 
                
 
                
-
                res
                
+
                Function value
                
 
                is the dot product of subvectors $x$ and psb_desc_type.
 
                
 Scope: global 
 
                
-Intent: out.
-
                
-Specified as: a number or a rank-one array  of the data type indicated
-in Table 2. 
+Specified as: a number of the data type indicated in Table 2.
 
                
 
                info
                
 
                Error code.
@@ -235,30 +247,29 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
-
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_normi   Infinity-Norm
- Up: Computational routines
- Previous: psb_gedot   Dot
-      Next: psb_gedots   Generalized
+ Up: Computational routines
+ Previous: psb_geaxpby   General
+     Contents 
 
 
diff --git a/docs/html/node52.html b/docs/html/node52.html
index 29657f78..97ad2c74 100644
--- a/docs/html/node52.html
+++ b/docs/html/node52.html
@@ -1,147 +1,136 @@
 
 
-
 
 
-psb_normi -- Infinity-Norm of Vector
-
+psb_gedots -- Generalized Dot Product
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geamaxs   Generalized
- Up: Computational routines
- Previous: psb_gedots   Generalized
-      Next: psb_normi   Infinity-Norm
+ Up: Computational routines
+ Previous: psb_gedot   Dot
+     Contents 
 
                
 
                
 
 
-
                
-psb_normi -- Infinity-Norm of Vector
+
                
+psb_gedots -- Generalized Dot Product
 
                
 
 
                
-This function computes 
- the infinity-norm of a vector $x$.
-
                
-If $x$ is a real  vector
-it computes infinity norm as:
+ ALT="$x$"> and $y$: 
 
                
 
                
 
 
 \begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}
+ WIDTH="150" HEIGHT="28" BORDER="0"
+ SRC="img27.png"
+ ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}">
 
                
 
                
 
                
-else if $x$ is a complex vector then it computes the infinity-norm  as:
-
                
-
                
-
-
-\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}
-
                
-
                
-
                
+ ALT="$x$"> is
+used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it
+is a rank one array. 
 
 
                
 
                -psb_geamax(x, desc_a, info)
-psb_normi(x, desc_a, info)
+call psb_gedots(res, x, y, desc_a, info)
 
                
-
-
                
 
                
-
                
+
                
 
-
                Table 4:
+Table 3:
 Data types
 
                
 
                
 
-
-
+ ALT="$x$">, $y$
+
-
-
+
-
-
+
-
-
-
+
+
-
-
-
+
+
                
 
                $amax$$res$, $x$FunctionSubroutine
 
                
 
                Short Precision RealShort Precision Realpsb_geamaxpsb_gedots
 
                
 
                Long Precision RealLong Precision Realpsb_geamaxpsb_gedots
 
                Short Precision RealShort Precision Complexpsb_geamax
                Short Precision Complexpsb_gedots
 
                Long Precision RealLong Precision Complexpsb_geamax
                Long Precision Complexpsb_gedots
 
                
 
                
 
                
@@ -161,10 +150,9 @@ Data types
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
-
 
                
 Scope: local 
 
                
@@ -172,9 +160,38 @@ Type: required
 
                
 Intent: in.
 
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type  
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 4.
+Table 3. The rank of $x$ must be the same of $y$. 
+
                
+
                y
                
+
                the local portion of global dense matrix
+$y$. 
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: in.
+
                
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
+containing numbers of type specified in
+Table 3. The rank of $y$ must be the same of $x$. 
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -186,21 +203,25 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
-
-
                
 
                
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                is the infinity norm of subvector res
+
                is the dot product of subvectors $x$.
+ ALT="$x$"> and $y$.
 
                
 Scope: global 
 
                
-Specified as: a long precision real number.
+Intent: out.
+
                
+Specified as: a number or a rank-one array  of the data type indicated
+in Table 2. 
 
                
 
                info
                
 
                Error code.
@@ -218,26 +239,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geamaxs   Generalized
- Up: Computational routines
- Previous: psb_gedots   Generalized
-      Next: psb_normi   Infinity-Norm
+ Up: Computational routines
+ Previous: psb_gedot   Dot
+     Contents 
 
 
diff --git a/docs/html/node53.html b/docs/html/node53.html
index 5220d1b6..1074ec18 100644
--- a/docs/html/node53.html
+++ b/docs/html/node53.html
@@ -1,121 +1,145 @@
 
 
-
 
 
-psb_geamaxs -- Generalized Infinity Norm
-
+psb_normi -- Infinity-Norm of Vector
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_norm1   1-Norm
- Up: Computational routines
- Previous: psb_normi   Infinity-Norm
-      Next: psb_geamaxs   Generalized
+ Up: Computational routines
+ Previous: psb_gedots   Generalized
+     Contents 
 
                
 
                
 
 
-
                
-psb_geamaxs -- Generalized Infinity Norm
+
                
+psb_normi -- Infinity-Norm of Vector
 
                
 
 
                
-This subroutine computes a series of  infinity norms on the columns of
-a  dense matrix  $x$: 
+ ALT="$x$">.
+
                
+If $x$ is a real  vector
+it computes infinity norm as:
 
                
 
                
 
 
 \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}
+ WIDTH="118" HEIGHT="36" BORDER="0"
+ SRC="img29.png"
+ ALT="\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}">
 
                
 
                
 
                
+else if $x$ is a complex vector then it computes the infinity-norm  as:
+
                
+
                
+
 
+\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}
+
                
+
                
+
                
 
                
 
                -call psb_geamaxs(res, x, desc_a, info)
+psb_geamax(x, desc_a, info)
+psb_normi(x, desc_a, info)
 
                
-
 
                
 
                
-
                
+
                
 
-
                Table 5:
+Table 4:
 Data types
 
                
 
                
 
+ WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img31.png"
+ ALT="$amax$">
-
+
-
+
-
+
-
+
-
+
                
 
                $res$
 $x$SubroutineFunction
 
                
 
                Short Precision Real
 Short Precision Realpsb_geamaxspsb_geamax
 
                
 
                Long Precision Real
 Long Precision Realpsb_geamaxspsb_geamax
 
                
 
                Short Precision Real
 Short Precision Complexpsb_geamaxspsb_geamax
 
                
 
                Long Precision Real
 Long Precision Complexpsb_geamaxspsb_geamax
 
                
 
                
 
                
@@ -135,7 +159,7 @@ Data types
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
 
                
@@ -145,9 +169,9 @@ Type: required
 
                
 Intent: in.
 
                
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type  
 containing numbers of type specified in
-Table 5. 
+Table 4.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -159,21 +183,20 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
+
                
 
                
 
                On Return
                
 
                
 
                
-
                res
                
-
                is the infinity norm of the columns of Function value
+
                is the infinity norm of subvector $x$.
 
                
 Scope: global 
 
                
-Intent: out.
-
                
-Specified as: a number or a rank-one array  of long precision real numbers. 
+Specified as: a long precision real number.
 
                
 
                info
                
 
                Error code.
@@ -187,30 +210,29 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
-
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_norm1   1-Norm
- Up: Computational routines
- Previous: psb_normi   Infinity-Norm
-      Next: psb_geamaxs   Generalized
+ Up: Computational routines
+ Previous: psb_gedots   Generalized
+     Contents 
 
 
diff --git a/docs/html/node54.html b/docs/html/node54.html
index 5ee30115..2048a3b8 100644
--- a/docs/html/node54.html
+++ b/docs/html/node54.html
@@ -1,146 +1,121 @@
 
 
-
 
 
-psb_norm1 -- 1-Norm of Vector
-
+psb_geamaxs -- Generalized Infinity Norm
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geasums   Generalized
- Up: Computational routines
- Previous: psb_geamaxs   Generalized
-      Next: psb_norm1   1-Norm
+ Up: Computational routines
+ Previous: psb_normi   Infinity-Norm
+     Contents 
 
                
 
                
 
 
-
                
-psb_norm1 -- 1-Norm of Vector
+
                
+psb_geamaxs -- Generalized Infinity Norm
 
                
 
 
                
-This function computes the 1-norm of a vector $x$.
-
                
-If $x$ is a real vector
-it computes 1-norm as:
-
                
-
                
-
-
-\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}
-
                
-
                
-
                
-else if $x$ is a complex vector then it computes 1-norm  as:
+ ALT="$x$">: 
 
                
 
                
 
 
 \begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}
+ WIDTH="148" HEIGHT="36" BORDER="0"
+ SRC="img32.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
 
                
 
                
 
                
 
 
                
 
                -psb_geasum(x, desc_a, info)
-psb_norm1(x, desc_a, info)
+call psb_geamaxs(res, x, desc_a, info)
 
                
 
 
                
 
                
-
                
+
                
 
-
                Table 6:
+Table 5:
 Data types
 
                
 
                
 
+ WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img28.png"
+ ALT="$res$">
-
+
-
+
-
+
-
+
-
+
                
 
                $asum$
 $x$FunctionSubroutine
 
                
 
                Short Precision Real
 Short Precision Realpsb_geasumpsb_geamaxs
 
                
 
                Long Precision Real
 Long Precision Realpsb_geasumpsb_geamaxs
 
                
 
                Short Precision Real
 Short Precision Complexpsb_geasumpsb_geamaxs
 
                
 
                Long Precision Real
 Long Precision Complexpsb_geasumpsb_geamaxs
 
                
 
                
 
                
@@ -160,10 +135,9 @@ Data types
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
-
 
                
 Scope: local 
 
                
@@ -173,7 +147,7 @@ Intent: in.
 
                
 Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 6.
+Table 5. 
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -185,21 +159,21 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
-
-
                
 
                
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                is the 1-norm of vector res
+
                is the infinity norm of the columns of $x$.
 
                
 Scope: global 
 
                
-Specified as: a long precision real  number.
+Intent: out.
+
                
+Specified as: a number or a rank-one array  of long precision real numbers. 
 
                
 
                info
                
 
                Error code.
@@ -217,26 +191,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geasums   Generalized
- Up: Computational routines
- Previous: psb_geamaxs   Generalized
-      Next: psb_norm1   1-Norm
+ Up: Computational routines
+ Previous: psb_normi   Infinity-Norm
+     Contents 
 
 
diff --git a/docs/html/node55.html b/docs/html/node55.html
index 1a9a3d63..80e7cfe1 100644
--- a/docs/html/node55.html
+++ b/docs/html/node55.html
@@ -1,165 +1,146 @@
 
 
-
 
 
-psb_geasums -- Generalized 1-Norm of Vector
-
+psb_norm1 -- 1-Norm of Vector
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_norm2   2-Norm
- Up: Computational routines
- Previous: psb_norm1   1-Norm
-      Next: psb_geasums   Generalized
+ Up: Computational routines
+ Previous: psb_geamaxs   Generalized
+     Contents 
 
                
 
                
 
 
-
                
-psb_geasums -- Generalized 1-Norm of Vector
+
                
+psb_norm1 -- 1-Norm of Vector
 
                
 
 
                
-This subroutine computes a series of  1-norms on the columns of
-a  dense matrix  $x$: 
-
                
-
                
-
-
-\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}
-
                
-
                
-
                
 This function computes the 1-norm of a vector $x$.
 
                
 If $x$ is a real vector 
+ ALT="$x$"> is a real vector
 it computes 1-norm as:
 
                
 
                
 
 
 \begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}
+ WIDTH="92" HEIGHT="28" BORDER="0"
+ SRC="img33.png"
+ ALT="\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}">
 
                
 
                
 
                
 else if $x$ is a complex vector then it computes 1-norm  as:
 
                
 
                
 
 
 \begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}
+ WIDTH="205" HEIGHT="28" BORDER="0"
+ SRC="img34.png"
+ ALT="\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
 
                
 
                
 
                
 
 
                
 
                -call psb_geasums(res, x, desc_a, info)
+psb_geasum(x, desc_a, info)
+psb_norm1(x, desc_a, info)
 
                
 
 
                
 
                
-
                
+
                
 
-
                Table 7:
+Table 6:
 Data types
 
                
 
                
 
+ WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img35.png"
+ ALT="$asum$">
-
+
-
+
-
+
-
+
-
+
                
 
                $res$
 $x$SubroutineFunction
 
                
 
                Short Precision Real
 Short Precision Realpsb_geasumspsb_geasum
 
                
 
                Long Precision Real
 Long Precision Realpsb_geasumspsb_geasum
 
                
 
                Short Precision Real
 Short Precision Complexpsb_geasumspsb_geasum
 
                
 
                Long Precision Real
 Long Precision Complexpsb_geasumspsb_geasum
 
                
 
                
 
                
@@ -179,10 +160,9 @@ Data types
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
-
 
                
 Scope: local 
 
                
@@ -192,7 +172,7 @@ Intent: in.
 
                
 Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 7.
+Table 6.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -210,17 +190,14 @@ Specified as: an object of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                res
                
-
                contains the 1-norm of (the columns of) Function value
+
                is the 1-norm of vector $x$.
 
                
 Scope: global 
 
                
-Intent: out.
-
                
-Short as: a long precision real  number.
 Specified as: a long precision real  number.
 
                
 
                info
                
@@ -239,26 +216,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_norm2   2-Norm
- Up: Computational routines
- Previous: psb_norm1   1-Norm
-      Next: psb_geasums   Generalized
+ Up: Computational routines
+ Previous: psb_geamaxs   Generalized
+     Contents 
 
 
diff --git a/docs/html/node56.html b/docs/html/node56.html
index 8412eb0e..2b0fc864 100644
--- a/docs/html/node56.html
+++ b/docs/html/node56.html
@@ -1,140 +1,165 @@
 
 
-
 
 
-psb_norm2 -- 2-Norm of Vector
-
+psb_geasums -- Generalized 1-Norm of Vector
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_genrm2s   Generalized
- Up: Computational routines
- Previous: psb_geasums   Generalized
-      Next: psb_norm2   2-Norm
+ Up: Computational routines
+ Previous: psb_norm1   1-Norm
+     Contents 
 
                
 
                
 
 
-
                
-psb_norm2 -- 2-Norm of Vector
+
                
+psb_geasums -- Generalized 1-Norm of Vector
 
                
 
 
                
-This function computes the 2-norm of a vector $x$: 
+
                
+
                
+
+
+\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}
+
                
+
                
+
                
+This function computes the 1-norm of a vector $x$.
 
                
 If $x$ is a  real  vector
-it computes 2-norm as:
+ ALT="$x$"> is a real vector 
+it computes 1-norm as:
 
                
 
                
 
 
 \begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}
+ WIDTH="94" HEIGHT="28" BORDER="0"
+ SRC="img36.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}">
 
                
 
                
 
                
 else if $x$ is a complex vector then it computes 2-norm  as:
+ ALT="$x$"> is a complex vector then it computes 1-norm  as:
 
                
 
                
 
 
 \begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}
+ WIDTH="207" HEIGHT="28" BORDER="0"
+ SRC="img37.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
 
                
 
                
 
                
 
+
                
+
                +call psb_geasums(res, x, desc_a, info)
+
                
+
 
                
 
                
-
                
+
                
 
-
                Table 8:
+Table 7:
 Data types
 
                
 
                
 
+ WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img28.png"
+ ALT="$res$">
-
+
-
+
-
+
-
+
-
+
                
 
                $nrm2$
 $x$FunctionSubroutine
 
                
 
                Short Precision Real
 Short Precision Realpsb_genrm2psb_geasums
 
                
 
                Long Precision Real
 Long Precision Realpsb_genrm2psb_geasums
 
                
 
                Short Precision Real
 Short Precision Complexpsb_genrm2psb_geasums
 
                
 
                Long Precision Real
 Long Precision Complexpsb_genrm2psb_geasums
 
                
 
                
 
                
@@ -143,12 +168,6 @@ Data types
 
                
 
                
 
-
                
-
                -psb_genrm2(x, desc_a, info)
-psb_norm2(x, desc_a, info)
-
                
-
 
                
 
                
 
                Type:
                
@@ -160,9 +179,9 @@ psb_norm2(x, desc_a, info)
 
                x
                
 
                the local portion of global dense matrix
 $x$.
+ ALT="$x$">. 
 
                
 Scope: local 
 
                
@@ -170,9 +189,9 @@ Type: required
 
                
 Intent: in.
 
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
+Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 8.
+Table 7.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -190,17 +209,18 @@ Specified as: an object of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                Function Value
                
-
                is the 2-norm of subvector res
+
                contains the 1-norm of (the columns of) $x$.
 
                
 Scope: global 
 
                
-Type: required 
+Intent: out.
 
                
-Specified as: a long precision real number.
+Short as: a long precision real  number.
+Specified as: a long precision real  number.
 
                
 
                info
                
 
                Error code.
@@ -218,26 +238,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_genrm2s   Generalized
- Up: Computational routines
- Previous: psb_geasums   Generalized
-      Next: psb_norm2   2-Norm
+ Up: Computational routines
+ Previous: psb_norm1   1-Norm
+     Contents 
 
 
diff --git a/docs/html/node57.html b/docs/html/node57.html
index a1622c28..e530b4a6 100644
--- a/docs/html/node57.html
+++ b/docs/html/node57.html
@@ -1,121 +1,139 @@
 
 
-
 
 
-psb_genrm2s -- Generalized 2-Norm of Vector
-
+psb_norm2 -- 2-Norm of Vector
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_norm1   1-Norm
- Up: Computational routines
- Previous: psb_norm2   2-Norm
-      Next: psb_genrm2s   Generalized
+ Up: Computational routines
+ Previous: psb_geasums   Generalized
+     Contents 
 
                
 
                
 
 
-
                
-psb_genrm2s -- Generalized 2-Norm of Vector
+
                
+psb_norm2 -- 2-Norm of Vector
 
                
 
 
                
-This subroutine computes a series of  2-norms on the columns of
-a  dense matrix  $x$: 
+ ALT="$x$">.
+
                
+If $x$ is a  real  vector
+it computes 2-norm as:
 
                
 
                
 
 
 \begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}
+ WIDTH="106" HEIGHT="24" BORDER="0"
+ SRC="img38.png"
+ ALT="\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}">
 
                
 
                
 
                
+else if $x$ is a complex vector then it computes 2-norm  as:
+
                
+
                
+
 
-
                
-
                -call psb_genrm2s(res, x, desc_a, info)
-
                
-
+\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}
+
                
+
                
+
                
 
                
 
                
-
                
+
                
 
-
                Table 9:
+Table 8:
 Data types
 
                
 
                
 
+ WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img40.png"
+ ALT="$nrm2$">
-
+
-
+
-
+
-
+
-
+
                
 
                $res$
 $x$SubroutineFunction
 
                
 
                Short Precision Real
 Short Precision Realpsb_genrm2spsb_genrm2
 
                
 
                Long Precision Real
 Long Precision Realpsb_genrm2spsb_genrm2
 
                
 
                Short Precision Real
 Short Precision Complexpsb_genrm2spsb_genrm2
 
                
 
                Long Precision Real
 Long Precision Complexpsb_genrm2spsb_genrm2
 
                
 
                
 
                
@@ -124,6 +142,11 @@ Data types
 
                
 
                
 
+
                
+
                +psb_genrm2(x, desc_a, info)
+psb_norm2(x, desc_a, info)
+
                
 
                
 
                
 
                Type:
                
@@ -135,10 +158,9 @@ Data types
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
-
+ ALT="$x$">.
 
                
 Scope: local 
 
                
@@ -146,9 +168,9 @@ Type: required
 
                
 Intent: in.
 
                
-Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 9.
+Table 8.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -160,23 +182,22 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
-
 
                
 
                
 
                On Return
                
 
                
 
                
-
                res
                
-
                contains the 1-norm of (the columns of) Function Value
+
                is the 2-norm of subvector $x$.
 
                
 Scope: global 
 
                
-Intent: out.
+Type: required 
 
                
-Specified as: a long precision real  number.
+Specified as: a long precision real number.
 
                
 
                info
                
 
                Error code.
@@ -194,26 +215,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_norm1   1-Norm
- Up: Computational routines
- Previous: psb_norm2   2-Norm
-      Next: psb_genrm2s   Generalized
+ Up: Computational routines
+ Previous: psb_geasums   Generalized
+     Contents 
 
 
diff --git a/docs/html/node58.html b/docs/html/node58.html
index e323fc9e..8ca3cbf1 100644
--- a/docs/html/node58.html
+++ b/docs/html/node58.html
@@ -1,121 +1,121 @@
 
 
-
 
 
-psb_norm1 -- 1-Norm of Sparse Matrix
-
+psb_genrm2s -- Generalized 2-Norm of Vector
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_normi   Infinity
- Up: Computational routines
- Previous: psb_genrm2s   Generalized
-      Next: psb_norm1   1-Norm
+ Up: Computational routines
+ Previous: psb_norm2   2-Norm
+     Contents 
 
                
 
                
 
 
-
                
-psb_norm1 -- 1-Norm of Sparse Matrix
+
                
+psb_genrm2s -- Generalized 2-Norm of Vector
 
                
 
 
                
-This function computes the 1-norm of a matrix $A$:
-
                
-
                
+This subroutine computes a series of  2-norms on the columns of
+a  dense matrix  $x$: 
 
                
 
                
 
 
 \begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}
+ WIDTH="126" HEIGHT="28" BORDER="0"
+ SRC="img41.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
 
                
 
                
 
                
-where:
-
                
-
                $A$
                
-
                represents the global matrix $A$
-
                
-
                
+
+
                
+
                +call psb_genrm2s(res, x, desc_a, info)
+
                
 
 
                
 
                
-
                
+
                
 
-
                Table 10:
+Table 9:
 Data types
 
                
 
                
 
-
+ WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img28.png"
+ ALT="$res$">
+
+
-
+
+
-
+
+
-
-
+
+
+
-
-
+
+
+
                
 
                $A$Function$x$Subroutine
 
                
 
                Short Precision Realpsb_spnrm1Short Precision Realpsb_genrm2s
 
                
 
                Long Precision Realpsb_spnrm1Long Precision Realpsb_genrm2s
 
                Short Precision Complexpsb_spnrm1
                Short Precision RealShort Precision Complexpsb_genrm2s
 
                Long Precision Complexpsb_spnrm1
                Long Precision RealLong Precision Complexpsb_genrm2s
 
                
 
                
 
                
@@ -124,12 +124,6 @@ Data types
 
                
 
                
 
-
                
-
                -psb_spnrm1(A, desc_a, info)
-psb_norm1(A, desc_a, info)
-
                
-
 
                
 
                
 
                Type:
                
@@ -138,20 +132,22 @@ psb_norm1(A, desc_a, info)
 
                On Entry
                
 
                
 
                
-
                a
                
-
                the local  portion of the global sparse matrix
+
                x
                
+
                the local portion of global dense matrix
 $A$. 
+ WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img20.png"
+ ALT="$x$">. 
 
                
 Scope: local 
 
                
-Type: required
+Type: required 
 
                
 Intent: in.
 
                
-Specified as: an object of type spdatapsb_Tspmat_type.
+Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type 
+containing numbers of type specified in
+Table 9.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -163,19 +159,23 @@ Type: required
 Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
+
+
                
 
                
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                is the 1-norm of sparse submatrix $A$.
+
                res
                
+
                contains the 1-norm of (the columns of) $x$.
 
                
 Scope: global 
 
                
-Specified as: a long precision real number.
+Intent: out.
+
                
+Specified as: a long precision real  number.
 
                
 
                info
                
 
                Error code.
@@ -193,26 +193,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_normi   Infinity
- Up: Computational routines
- Previous: psb_genrm2s   Generalized
-      Next: psb_norm1   1-Norm
+ Up: Computational routines
+ Previous: psb_norm2   2-Norm
+     Contents 
 
 
diff --git a/docs/html/node59.html b/docs/html/node59.html
index 579e6be5..40d5c991 100644
--- a/docs/html/node59.html
+++ b/docs/html/node59.html
@@ -1,62 +1,62 @@
 
 
-
 
 
-psb_normi -- Infinity Norm of Sparse Matrix
-
+psb_norm1 -- 1-Norm of Sparse Matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spmm   Sparse
- Up: Computational routines
- Previous: psb_norm1   1-Norm
-      Next: psb_normi   Infinity
+ Up: Computational routines
+ Previous: psb_genrm2s   Generalized
+     Contents 
 
                
 
                
 
 
-
                
-psb_normi -- Infinity Norm of Sparse Matrix
+
                
+psb_norm1 -- 1-Norm of Sparse Matrix
 
                
 
 
                
-This function computes the infinity-norm of a matrix $A$:
@@ -66,14 +66,14 @@ This function computes the infinity-norm of a matrix 
 
 
 \begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}
+ WIDTH="98" HEIGHT="28" BORDER="0"
+ SRC="img42.png"
+ ALT="\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}">
 
 
                
 
                
@@ -92,9 +92,9 @@ where:
 
 
                
 
                
-
                
+
                
 
-
-
+
-
+
-
+
-
+
                Table 11:
+Table 10:
 Data types
 
                
 
                
@@ -106,16 +106,16 @@ Data types
 
                		Function
 
                
 
                Short Precision Realpsb_spnrmipsb_spnrm1
 
                
 
                Long Precision Realpsb_spnrmipsb_spnrm1
 
                
 
                Short Precision Complexpsb_spnrmipsb_spnrm1
 
                
 
                Long Precision Complexpsb_spnrmipsb_spnrm1
 
                
 
                
 
                
@@ -126,8 +126,8 @@ Data types
 
 
                
 
                -psb_spnrmi(A, desc_a, info)
-psb_normi(A, desc_a, info)
+psb_spnrm1(A, desc_a, info)
+psb_norm1(A, desc_a, info)
 
                
 
 
                
@@ -168,7 +168,7 @@ Specified as: an object of type descdatapsb_desc_type.
 
                
 
                
 
                Function value
                
-
                is the infinity-norm of sparse submatrix is the 1-norm of sparse submatrix $A$.
@@ -193,26 +193,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spmm   Sparse
- Up: Computational routines
- Previous: psb_norm1   1-Norm
-      Next: psb_normi   Infinity
+ Up: Computational routines
+ Previous: psb_genrm2s   Generalized
+     Contents 
 
 
diff --git a/docs/html/node6.html b/docs/html/node6.html
index 7bfa16b7..0a4816fb 100644
--- a/docs/html/node6.html
+++ b/docs/html/node6.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: User-defined index mappings
- Up:  Up: General overview
- Previous:  Previous: Library contents
-       Contents 
 
                
 
                
@@ -64,7 +64,7 @@ space to which there corresponds an index space and a matrix sparsity
 pattern. As an example, consider a cell-centered finite-volume
 discretization of  the Navier-Stokes equations on a simulation domain;
 the index space $1\dots n$ is isomorphic to the set of cell centers,
 whereas the pattern of the associated linear system matrix is
@@ -75,7 +75,7 @@ by the discretization stencil.
 Thus the first order of business is to establish an index space, and
 this is done with a call to  psb_cdall in which we specify the
 size of the index space $n$ and the allocation of the elements of the
 index space to the various processes making up the MPI (virtual)
@@ -84,7 +84,7 @@ parallel machine.
 
                
 The index space is partitioned among processes, and this creates a
 mapping from the ``global'' numbering $1\dots n$ to a numbering
 ``local'' to each process; each process $1\dots n_{\hbox{row}_i}$, each element of which corresponds to a certain
 element of $1\dots n$. The user does not set explicitly this mapping;
 when the application needs to indicate to which element of the index
@@ -109,7 +109,7 @@ library will translate into the appropriate ``local'' numbering.
 
 
                
 For  a given index space $1\dots n$ there are many possible associated
 topologies, i.e. many different discretization stencils; thus the
@@ -249,32 +249,32 @@ from optimal.
 Subsections
 
 
                
 
 
                
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: User-defined index mappings
- Up:  Up: General overview
- Previous:  Previous: Library contents
-       Contents 
 
 
diff --git a/docs/html/node60.html b/docs/html/node60.html
index dc3b180f..7380bc16 100644
--- a/docs/html/node60.html
+++ b/docs/html/node60.html
@@ -1,149 +1,89 @@
 
 
-
 
 
-psb_spmm -- Sparse Matrix by Dense Matrix Product
-
+psb_normi -- Infinity Norm of Sparse Matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spsm   Triangular
- Up: Computational routines
- Previous: psb_normi   Infinity
-      Next: psb_spmm   Sparse
+ Up: Computational routines
+ Previous: psb_norm1   1-Norm
+     Contents 
 
                
 
                
 
 
-
                
-psb_spmm -- Sparse Matrix by Dense Matrix
-  Product
+
                
+psb_normi -- Infinity Norm of Sparse Matrix
 
                
 
 
                
-This subroutine computes the Sparse Matrix by Dense Matrix Product:
-
-
                
-
                
-
                
-
-
-
-
-
-
                \begin{displaymath}
-y \leftarrow \alpha A x + \beta y
-\end{displaymath}
-(1)
                
-
                
-
                
-
                
-
-
-
-
-
-
                \begin{displaymath}
-y \leftarrow \alpha A^T x + \beta y
-\end{displaymath}
-(2)
                
-
                
+This function computes the infinity-norm of a matrix $A$:
 
                
-
                
-
+
                
+
                
+
                
 
-
-
-
-
                \begin{displaymath}
-y \leftarrow \alpha A^H x + \beta y
-\end{displaymath}
-(3)
                
-
                
 
-
                
+\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}
+
                
+
                
+
                
 where:
 
                
-
                $x$
                
-
                is the global dense matrix $x_{:, :}$
-
                
-
                $y$
                
-
                is the global dense matrix $y_{:, :}$
-
                
 
                $A$
                
-
                is the global sparse matrix represents the global matrix $A$
@@ -152,9 +92,9 @@ where:
 
 
                
 
                
-
                
+
                
 
-
-
+ ALT="$A$">
+
-
+
-
+
-
+
-
+
                Table 12:
+Table 11:
 Data types
 
                
 
                
@@ -162,32 +102,20 @@ Data types
 
                $A$, $x$, $y$, $\alpha$, $\beta$SubroutineFunction
 
                
 
                Short Precision Realpsb_spmmpsb_spnrmi
 
                
 
                Long Precision Realpsb_spmmpsb_spnrmi
 
                
 
                Short Precision Complexpsb_spmmpsb_spnrmi
 
                
 
                Long Precision Complexpsb_spmmpsb_spnrmi
 
                
 
                
 
                
@@ -198,10 +126,9 @@ Data types
 
 
                
 
                -call psb_spmm(alpha, a, x, beta, y, desc_a, info)
-call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
-             & trans, work)
-
                 
+psb_spnrmi(A, desc_a, info)
+psb_normi(A, desc_a, info)
+
 
 
                
 
                
@@ -211,23 +138,8 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
 
                On Entry
                
 
                
 
                
-
                alpha
                
-
                the scalar $\alpha$.
-
                
-Scope: global 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a number of the data type indicated in
-Table 12. 
-
                
 
                a
                
-
                the local portion of the sparse matrix
+
                the local  portion of the global sparse matrix
 in.
 
                
 Specified as: an object of type spdatapsb_Tspmat_type.
 
                
-
                x
                
-
                the local portion of global dense matrix
-$x$. 
-
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: in.
-
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
-containing numbers of type specified in
-Table 12.  The rank of $x$ must be the same of $y$. 
-
                
-
                beta
                
-
                the scalar $\beta$.
-
                
-Scope: global 
-
                
-Type: required 
-
                
-Intent: in.
-
                
-Specified as: a number of the data type indicated in Table 12.
-
                
-
                y
                
-
                the local portion of global dense matrix
-$y$. 
-
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: inout.
-
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
-containing numbers of type specified in
-Table 12. The rank of $y$ must be the same of $x$. 
-
                
 
                desc_a
                
 
                contains data structures for communications.
 
                
@@ -314,74 +164,18 @@ Intent: in.
 
                
 Specified as: an object of type descdatapsb_desc_type.
 
                
-
                trans
                
-
                indicates what kind of operation to perform.
-
                
-
                trans = N
                
-
                the operation is specified by equation 1
-
                
-
                trans = T
                
-
                the operation is specified by equation
-2
-
                
-
                trans = C
                
-
                the operation is specified by equation
-3
-
                
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Default: $trans = N$
-
                
-Specified as: a character variable.
-
-
                
-
                
-
                work
                
-
                work array.
-
                
-Scope: local 
-
                
-Type: optional
-
                
-Intent: inout.
-
                
-Specified as: a rank one array of the same type of $x$ and $y$ with
-the TARGET attribute. 
-
-
                
-
                
 
                On Return
                
 
                
 
                
-
                y
                
-
                the local portion of result matrix $y$.
-
                
-Scope: local 
-
                
-Type: required 
+
                Function value
                
+
                is the infinity-norm of sparse submatrix $A$.
 
                
-Intent: inout.
+Scope: global 
 
                
-Specified as: an array of rank one or two
-containing numbers of type specified in
-Table 12.
+Specified as: a long precision real number.
 
                
 
                info
                
 
                Error code.
@@ -399,26 +193,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spsm   Triangular
- Up: Computational routines
- Previous: psb_normi   Infinity
-      Next: psb_spmm   Sparse
+ Up: Computational routines
+ Previous: psb_norm1   1-Norm
+     Contents 
 
 
diff --git a/docs/html/node61.html b/docs/html/node61.html
index 3bc502cf..58780c61 100644
--- a/docs/html/node61.html
+++ b/docs/html/node61.html
@@ -1,94 +1,128 @@
 
 
-
 
 
-psb_spsm -- Triangular System Solve
-
+psb_spmm -- Sparse Matrix by Dense Matrix Product
+
 
 
 
 
-
+
 
 
 
 
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Communication routines
- Up: Computational routines
- Previous: psb_spmm   Sparse
-      Next: psb_spsm   Triangular
+ Up: Computational routines
+ Previous: psb_normi   Infinity
+     Contents 
 
                
 
                
 
 
-
                
-psb_spsm -- Triangular System Solve
+
                
+psb_spmm -- Sparse Matrix by Dense Matrix
+  Product
 
                
 
 
                
-This subroutine computes the Triangular System Solve:
+This subroutine computes the Sparse Matrix by Dense Matrix Product:
 
 
                
-
                
-
                
+
                
+
                
+
 
-\begin{eqnarray*}
-y &\leftarrow& \alpha T^{-1} x + \beta y\\
-y &\leftarrow& \al...
-...-H} x + \beta y\\
-y &\leftarrow& \alpha T^{-H} D x + \beta y\\
-\end{eqnarray*}
                
-
                
+
+
+
+
                \begin{displaymath}
+y \leftarrow \alpha A x + \beta y
+\end{displaymath}
+(1)
                
+
                
+
                
+
                
+
+
+
+
+
+
                \begin{displaymath}
+y \leftarrow \alpha A^T x + \beta y
+\end{displaymath}
+(2)
                
+
                
+
                
+
                
+
+
+
+
+
+
                \begin{displaymath}
+y \leftarrow \alpha A^H x + \beta y
+\end{displaymath}
+(3)
                
+
                
 
 
                
 where:
 
                
 
                $x$
                
 
                is the global dense matrix 
 
                $T$
                
-
                is the global sparse block triangular submatrix $A$
+
                is the global sparse matrix $T$
-
                
-
                $D$
                
-
                is the scaling diagonal matrix.
+ SRC="img1.png"
+ ALT="$A$">
 
                
 
                
 
-
                
-
                -call psb_spsm(alpha, t, x, beta, y, desc_a, info)
-call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
-             & trans, unit, choice, diag, work)
-
                 
-
 
                
 
                
-
                
+
                
 
-
                Table 13:
+Table 12:
 Data types
 
                
 
                
 
-
+
-
+
-
+
-
+
                
 
                $T$, $A$, $x$, $y$, $D$, $\alpha$, 
 Subroutine
 
                
 
                Short Precision Realpsb_spsmpsb_spmm
 
                
 
                Long Precision Realpsb_spsmpsb_spmm
 
                
 
                Short Precision Complexpsb_spsmpsb_spmm
 
                
 
                Long Precision Complexpsb_spsmpsb_spmm
 
                
 
                
 
                
@@ -178,6 +196,13 @@ Data types
 
                
 
                
 
+
                
+
                +call psb_spmm(alpha, a, x, beta, y, desc_a, info)
+call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
+             & trans, work)
+
                 
+
 
                
 
                
 
                Type:
                
@@ -188,7 +213,7 @@ Data types
 
 
                alpha
                
 
                the scalar $\alpha$.
 
                
@@ -199,14 +224,14 @@ Type: required
 Intent: in.
 
                
 Specified as: a number of the data type indicated in
-Table 13.
+Table 12. 
 
                
-
                t
                
-
                the global portion of the sparse matrix
+
                a
                
+
                the local portion of the sparse matrix
 $T$.  
+ SRC="img1.png"
+ ALT="$A$">. 
 
                
 Scope: local 
 
                
@@ -214,16 +239,14 @@ Type: required
 
                
 Intent: in.
 
                
-Specified as: an object type specified in
-§ 3.
+Specified as: an object of type spdatapsb_Tspmat_type.
 
                
 
                x
                
 
                the local portion of global dense matrix
 $x$. 
-
 
                
 Scope: local 
 
                
@@ -233,8 +256,8 @@ Intent: in.
 
                
 Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 13.  The rank of 12.  The rank of $x$ must be the same of required
 
                
 Intent: in.
 
                
-Specified as: a number of the data type indicated in Table 13.
+Specified as: a number of the data type indicated in Table 12.
 
                
 
                y
                
 
                the local portion of global dense matrix
@@ -261,7 +284,6 @@ Specified as: a number of the data type indicated in Table . 
-
 
                
 Scope: local 
 
                
@@ -271,11 +293,11 @@ Intent: inout.
 
                
 Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table                 13. The rank of 12. The rank of $y$ must be the same of $x$. 
 
                
@@ -291,16 +313,18 @@ Intent: in.
 Specified as: an object of type descdatapsb_desc_type.
 
 
                trans
                
-
                specify with unitd the operation to perform.
+
                indicates what kind of operation to perform.
 
                
-
                trans = 'N'
                
-
                the operation is with no transposed matrix
+
                trans = N
                
+
                the operation is specified by equation 1
 
                
-
                trans = 'T'
                
-
                the operation is with transposed matrix.
+
                trans = T
                
+
                the operation is specified by equation
+2
 
                
-
                trans = 'C'
                
-
                the operation is with conjugate transposed matrix.
+
                trans = C
                
+
                the operation is specified by equation
+3
 
                
 
                
 Scope: global 
@@ -310,87 +334,15 @@ Type: optional
 Intent: in.
 
                
 Default: $trans = N$
 
                
 Specified as: a character variable.
-
                
-
                unitd
                
-
                specify with trans the operation to perform.
-
                
-
                unitd = 'U'
                
-
                the operation is with no scaling
-
                
-
                unitd = 'L'
                
-
                the operation is with left scaling
-
                
-
                unitd = 'R'
                
-
                the operation is with right scaling.
-
                
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Default: $unitd = U$
-
                
-Specified as: a character variable.
-
                
-
                choice
                
-
                specifies the update of overlap elements to be performed
-  on exit:
-
                
-
                
-
                psb_none_
-
                
-
                
-
                psb_sum_
-
                
-
                
-
                psb_avg_
-
                
-
                
-
                psb_square_root_
-
                
-
                
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Default: psb_avg_
-
                
-Specified as: an integer variable.
-
                
-
                diag
                
-
                the diagonal scaling matrix.
-
                
-Scope: local 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Default: 
-$diag(1) = 1 (no scaling)$
-
                
-Specified as: a rank one  array containing numbers of the type
-indicated in Table 13.
+
                
 
                
 
                work
                
-
                a work array. 
+
                work array.
 
                
 Scope: local 
 
                
@@ -399,10 +351,13 @@ Type: optional
 Intent: inout.
 
                
 Specified as: a rank one array of the same type of $x$ with the
-TARGET attribute. 
+ ALT="$x$"> and $y$ with
+the TARGET attribute. 
 
 
                
 
                
@@ -410,12 +365,10 @@ TARGET attribute.
 
                
 
                
 
                y
                
-
                the local portion of global dense matrix
-the local portion of result matrix $y$. 
-
+ ALT="$y$">.
 
                
 Scope: local 
 
                
@@ -425,7 +378,7 @@ Intent: inout.
 
                
 Specified as: an array of rank one or two
 containing numbers of type specified in
-Table 13.
+Table 12.
 
                
 
                info
                
 
                Error code.
@@ -443,26 +396,26 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Communication routines
- Up: Computational routines
- Previous: psb_spmm   Sparse
-      Next: psb_spsm   Triangular
+ Up: Computational routines
+ Previous: psb_normi   Infinity
+     Contents 
 
 
diff --git a/docs/html/node62.html b/docs/html/node62.html
index 40628059..ad853258 100644
--- a/docs/html/node62.html
+++ b/docs/html/node62.html
@@ -1,80 +1,467 @@
 
 
-
 
 
-Communication routines
-
+psb_spsm -- Triangular System Solve
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_halo   Halo
- Up: userhtml
- Previous: psb_spsm   Triangular
-      Next: Communication routines
+ Up: Computational routines
+ Previous: psb_spmm   Sparse
+     Contents 
 
                
 
                
 
 
-
                
-Communication routines
-
                
-The routines in this chapter implement various global communication operators
-on vectors associated with a discretization mesh. For auxiliary communication
-routines not tied to a discretization space see 6.
+
                
+psb_spsm -- Triangular System Solve
+
                
 
 
                
-
                
-
-Subsections
+This subroutine computes the Triangular System Solve:
 
-
-
-
                
+
                
+
                
+
                
+
+\begin{eqnarray*}
+y &\leftarrow& \alpha T^{-1} x + \beta y\\
+y &\leftarrow& \al...
+...-H} x + \beta y\\
+y &\leftarrow& \alpha T^{-H} D x + \beta y\\
+\end{eqnarray*}
                
+
                
+
+
                
+where:
+
                
+
                $x$
                
+
                is the global dense matrix $x_{:, :}$
+
                
+
                $y$
                
+
                is the global dense matrix $y_{:, :}$
+
                
+
                $T$
                
+
                is the global sparse block triangular submatrix $T$
+
                
+
                $D$
                
+
                is the scaling diagonal matrix.
+
                
+
                
+
+
                
+
                +call psb_spsm(alpha, t, x, beta, y, desc_a, info)
+call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
+             & trans, unit, choice, diag, work)
+
                 
+
+
                
+
                
+
                
+
+
+
+
                Table 13:
+Data types
                
+
                
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
                $T$, $x$, $y$, $D$, $\alpha$, $\beta$Subroutine
                Short Precision Realpsb_spsm
                Long Precision Realpsb_spsm
                Short Precision Complexpsb_spsm
                Long Precision Complexpsb_spsm
                
+
                
+
                
+
                
+
                
+
+
                
+
                
+
                Type:
                
+
                Synchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                alpha
                
+
                the scalar $\alpha$.
+
                
+Scope: global 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a number of the data type indicated in
+Table 13.
+
                
+
                t
                
+
                the global portion of the sparse matrix
+$T$.  
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: an object type specified in
+§ 3.
+
                
+
                x
                
+
                the local portion of global dense matrix
+$x$. 
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: in.
+
                
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
+containing numbers of type specified in
+Table 13.  The rank of $x$ must be the same of $y$. 
+
                
+
                beta
                
+
                the scalar $\beta$.
+
                
+Scope: global 
+
                
+Type: required 
+
                
+Intent: in.
+
                
+Specified as: a number of the data type indicated in Table 13.
+
                
+
                y
                
+
                the local portion of global dense matrix
+$y$. 
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: inout.
+
                
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
+containing numbers of type specified in
+Table 13. The rank of $y$ must be the same of $x$. 
+
                
+
                desc_a
                
+
                contains data structures for communications.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: an object of type descdatapsb_desc_type.
+
                
+
                trans
                
+
                specify with unitd the operation to perform.
+
                
+
                trans = 'N'
                
+
                the operation is with no transposed matrix
+
                
+
                trans = 'T'
                
+
                the operation is with transposed matrix.
+
                
+
                trans = 'C'
                
+
                the operation is with conjugate transposed matrix.
+
                
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Default: $trans = N$
+
                
+Specified as: a character variable.
+
                
+
                unitd
                
+
                specify with trans the operation to perform.
+
                
+
                unitd = 'U'
                
+
                the operation is with no scaling
+
                
+
                unitd = 'L'
                
+
                the operation is with left scaling
+
                
+
                unitd = 'R'
                
+
                the operation is with right scaling.
+
                
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Default: $unitd = U$
+
                
+Specified as: a character variable.
+
                
+
                choice
                
+
                specifies the update of overlap elements to be performed
+  on exit:
+
                
+
                
+
                psb_none_
+
                
+
                
+
                psb_sum_
+
                
+
                
+
                psb_avg_
+
                
+
                
+
                psb_square_root_
+
                
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Default: psb_avg_
+
                
+Specified as: an integer variable.
+
                
+
                diag
                
+
                the diagonal scaling matrix.
+
                
+Scope: local 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Default: 
+$diag(1) = 1 (no scaling)$
+
                
+Specified as: a rank one  array containing numbers of the type
+indicated in Table 13.
+
                
+
                work
                
+
                a work array. 
+
                
+Scope: local 
+
                
+Type: optional
+
                
+Intent: inout.
+
                
+Specified as: a rank one array of the same type of $x$ with the
+TARGET attribute. 
+
+
                
+
                
+
                On Return
                
+
                
+
                
+
                y
                
+
                the local portion of global dense matrix
+$y$. 
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: inout.
+
                
+Specified as: an array of rank one or two
+containing numbers of type specified in
+Table 13.
+
                
+
                info
                
+
                Error code.
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
+
                
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: Communication routines
+ Up: Computational routines
+ Previous: psb_spmm   Sparse
+     Contents 
+
 
 
 
diff --git a/docs/html/node63.html b/docs/html/node63.html
index 18f80190..36da86ce 100644
--- a/docs/html/node63.html
+++ b/docs/html/node63.html
@@ -1,638 +1,79 @@
 
 
-
 
 
-psb_halo -- Halo Data Communication
-
+Communication routines
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_ovrl   Overlap
- Up: Communication routines
- Previous: Communication routines
-      Next: psb_halo   Halo
+ Up: userhtml
+ Previous: psb_spsm   Triangular
+     Contents 
 
                
 
                
 
 
-
                
-psb_halo -- Halo Data Communication
-
                
-
-
                
-These subroutines gathers the values of the halo
-elements:
-
-
                
-
                
-
                
-
-
-\begin{displaymath}x \leftarrow x \end{displaymath}
-
                
-
                
-
                
-where:
-
                
-
                $x$
                
-
                is a global dense  submatrix.
-
                
-
                
-
-
                
-
                
-
                
-
-
-
-
                Table 14:
-Data types
                
-
                
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
                $\alpha$, $x$Subroutine
                Integerpsb_halo
                Short Precision Realpsb_halo
                Long Precision Realpsb_halo
                Short Precision Complexpsb_halo
                Long Precision Complexpsb_halo
                
-
                
-
                
-
                
-
                
-
-
                
-
                
-\begin{lstlisting}
-call psb_halo(x, desc_a, info)
-call psb_halo(x, desc_a, info, work, data)
-\end{lstlisting}
-
                
-
-
                
-
                
-
                Type:
                
-
                Synchronous.
-
                
-
                On Entry
                
-
                
-
                
-
                x
                
-
                global dense matrix $x$.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: inout.
-
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
-containing numbers of type specified in
-Table 14.
-
                
-
                desc_a
                
-
                contains data structures for communications.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: in.
-
                
-Specified as: a structured data of type descdatapsb_desc_type.
-
                
-
                work
                
-
                the work array. 
-
                
-Scope: local 
-
                
-Type: optional
-
                
-Intent: inout.
-
                
-Specified as: a rank one array of the same type of $x$. 
-
                
-
                data
                
-
                index list selector.
-
                
-Scope: global 
-
                
-Type: optional 
-
                
-Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_,
-psb_comm_ext_, default: psb_comm_halo_. Chooses the
-index list on which to base the data exchange. 
-
-
                
-
                
-
                On Return
                
-
                
-
                
-
                x
                
-
                global dense result matrix $x$.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: inout.
-
                
-Returned as:  a rank one or two array 
-containing numbers of type specified in
-Table 14.
-
                
-
                info
                
-
                the local portion of result submatrix $y$.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value that contains an error code. 
-
                
-
                
-
-
                
-
-
-
-
                Figure 7:
-Sample discretization mesh.
                
-
                
-\includegraphics[scale=0.45]{figures/try8x8.eps}
-
-
-\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}
-
-
                
-
                
-
-
                
-Usage Example
-Consider the discretization mesh depicted in fig. 7,
-partitioned among two processes as shown by the dashed line; the data
-distribution is such that each process will own 32 entries in the
-index space, with a halo made of 8 entries placed at local indices 33
-through 40. If process 0 assigns an initial value of 1 to its entries
-in the $x$ vector, and process 1 assigns a value of 2, then after a
-call to psb_halo the contents of the local vectors will be the
-following: 
-
                
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-
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-
                
-Process  0 
-Process  1
                 
-  I     GLOB(I)  X(I)      I  GLOB(I)  X(I) 
                 
-  1       1    1.0       1    33     2.0 
                  
-  2       2    1.0       2    34     2.0 
                 
-  3       3    1.0       3    35     2.0 
                 
-  4       4    1.0       4    36     2.0 
                 
-  5       5    1.0       5    37     2.0 
                 
-  6       6    1.0       6    38     2.0 
                 
-  7       7    1.0       7    39     2.0 
                 
-  8       8    1.0       8    40     2.0 
                 
-  9       9    1.0       9    41     2.0 
                 
- 10      10    1.0      10    42     2.0 
                 
- 11      11    1.0      11    43     2.0 
                 
- 12      12    1.0      12    44     2.0 
                 
- 13      13    1.0      13    45     2.0 
                 
- 14      14    1.0      14    46     2.0 
                 
- 15      15    1.0      15    47     2.0 
                 
- 16      16    1.0      16    48     2.0 
                 
- 17      17    1.0      17    49     2.0 
                 
- 18      18    1.0      18    50     2.0 
                 
- 19      19    1.0      19    51     2.0 
                 
- 20      20    1.0      20    52     2.0 
                  
-21      21    1.0      21    53     2.0 
                 
-22      22    1.0      22    54     2.0 
                 
-23      23    1.0      23    55     2.0 
                 
-24      24    1.0      24    56     2.0 
                 
-25      25    1.0      25    57     2.0 
                 
-26      26    1.0      26    58     2.0 
                 
-27      27    1.0      27    59     2.0 
                 
-28      28    1.0      28    60     2.0 
                 
-29      29    1.0      29    61     2.0 
                 
-30      30    1.0      30    62     2.0 
                 
-31      31    1.0      31    63     2.0 
                 
-32      32    1.0      32    64     2.0 
                 
-33      33    2.0      33    25     1.0 
                 
-34      34    2.0      34    26     1.0 
                 
-35      35    2.0      35    27     1.0 
                 
-36      36    2.0      36    28     1.0 
                 
-37      37    2.0      37    29     1.0 
                 
-38      38    2.0      38    30     1.0 
                 
-39      39    2.0      39    31     1.0 
                 
-40      40    2.0      40    32     1.0 
                
-
                
+
                
+Communication routines
+
                The routines in this chapter implement various global communication operators
+on vectors associated with a discretization mesh. For auxiliary communication
+routines not tied to a discretization space see 6.
 
 
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_ovrl   Overlap
- Up: Communication routines
- Previous: Communication routines
-     Contents 
-
+
                
+
+Subsections
+
+
+
+
                
 
 
 
diff --git a/docs/html/node64.html b/docs/html/node64.html
index a2fc6b2e..ed700a0f 100644
--- a/docs/html/node64.html
+++ b/docs/html/node64.html
@@ -1,131 +1,122 @@
 
 
-
 
 
-psb_ovrl -- Overlap Update
-
+psb_halo -- Halo Data Communication
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_gather   Gather
- Up: Communication routines
- Previous: psb_halo   Halo
-      Next: psb_ovrl   Overlap
+ Up: Communication routines
+ Previous: Communication routines
+     Contents 
 
                
 
                
 
 
-
                
-psb_ovrl -- Overlap Update
+
                
+psb_halo -- Halo Data Communication
 
                
 
 
                
-These subroutines applies an overlap operator to the input vector:
+These subroutines gathers the values of the halo
+elements:
 
 
                
 
                
 
                
 
 
 \begin{displaymath}x \leftarrow Q x \end{displaymath}
+ WIDTH="43" HEIGHT="24" BORDER="0"
+ SRC="img55.png"
+ ALT="\begin{displaymath}x \leftarrow x \end{displaymath}">
 
                
 
                
 
                
 where:
 
                
 
                $x$
                
-
                is the global dense submatrix $x$
-
                
-
                $Q$
                
-
                is the overlap operator; it is the composition of two
-operators $ P_a$ and $ P^{T}$. 
+
                is a global dense  submatrix.
 
                
 
                
 
 
                
 
                
-
                
+
                
 
-
                
 
                
-
 next 
-
+
 up 
-
 previous 
-
 contents
                
- Next:psb_gather   Gather
- Up:Communication routines
- Previous:psb_halo   Halo
-      Next:psb_ovrl   Overlap
+ Up:Communication routines
+ Previous:Communication routines
+     Contents
 
diff --git a/docs/html/node65.html b/docs/html/node65.html
index 72ed324b..78bdd1bc 100644
--- a/docs/html/node65.html
+++ b/docs/html/node65.html
@@ -1,142 +1,131 @@
 
 
-
-psb_gather -- Gather Global Dense Matrix
-
+psb_ovrl -- Overlap Update
+
 
-
+
-
+
-
 next 
-
+
 up 
-
 previous 
-
 contents
                
- Next:psb_scatter   Scatter
- Up:Communication routines
- Previous:psb_ovrl   Overlap
-      Next:psb_gather   Gather
+ Up:Communication routines
+ Previous:psb_halo   Halo
+     Contents

                
 
-
                
-psb_gather -- Gather Global Dense Matrix
+
                
+psb_ovrl -- Overlap Update
 
                
-These subroutines collect the portions of global dense matrix
-distributed over all process into one single array stored on one
-process.
+These subroutines applies an overlap operator to the input vector:
 
 
                
 
                
 
 
 \begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath}
+ WIDTH="55" HEIGHT="27" BORDER="0"
+ SRC="img59.png"
+ ALT="\begin{displaymath}x \leftarrow Q x \end{displaymath}">
 

                
 where:
 
                
 
                $glob\_x$
                
-
                is the global submatrix 
-$glob\_x_{1:m,1:n}$
-
                
-
                $loc\_x_i$
                
-
                is the local portion of global dense matrix on
-process $i$.
+ WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img20.png"
+ ALT="$x$">
+
                is the global dense submatrix $x$
 
                
 
                $collect$
                
-
                is the collect function.
+ WIDTH="16" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img60.png"
+ ALT="$Q$">
+
                is the overlap operator; it is the composition of two
+operators $ P_a$ and $ P^{T}$. 
 
                
 
                
 
                
-
                
+
                
 
                Table 15:
+Table 14:
 Data types
 
                
 
                
 
+
+
+
-
+
-
+
-
+
-
+
                
 
                $\alpha$, $x$
 Subroutine
 
                Integerpsb_halo
                
 
                Short Precision Realpsb_ovrlpsb_halo
 
                
 
                Long Precision Realpsb_ovrlpsb_halo
 
                
 
                Short Precision Complexpsb_ovrlpsb_halo
 
                
 
                Long Precision Complexpsb_ovrlpsb_halo
 
                
 
                
 
                
@@ -137,13 +128,13 @@ Data types
 
                
 
                
 \begin{lstlisting}
-call psb_ovrl(x, desc_a, info)
-call psb_ovrl(x, desc_a, info, update=update_type, work=work)
+call psb_halo(x, desc_a, info)
+call psb_halo(x, desc_a, info, work, data)
 \end{lstlisting}
-
                 
+
                
 
 
                
 
                
@@ -155,7 +146,7 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
 
 
                x
                
 
                global dense matrix $x$.
 
                
@@ -167,7 +158,7 @@ Intent: inout.
 
                
 Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
 containing numbers of type specified in
-Table 15.
+Table 14.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -180,41 +171,6 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                update
                
-
                Update operator. 
-
                
-
                update = psb_none_
                
-
                Do nothing;
-
                
-
                update = psb_add_
                
-
                Sum overlap entries, i.e. apply $P^T$;
-
                
-
                update = psb_avg_
                
-
                Average overlap entries, i.e. apply $P_aP^T$;
-
                
-
                
-Scope: global 
-
                
-Intent: in.
-
                
-Default: 
-$update\_type = psb\_avg\_ $
-
                
-Scope: global 
-
                
-Specified as: a integer variable.
-
                
 
                work
                
 
                the work array. 
 
                
@@ -224,10 +180,21 @@ Type: optional
 
                
 Intent: inout.
 
                
-Specified as: a one dimensional array of the same type of $x$.
+ ALT="$x$">. 
+
                
+
                data
                
+
                index list selector.
+
                
+Scope: global 
+
                
+Type: optional 
+
                
+Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_,
+psb_comm_ext_, default: psb_comm_halo_. Chooses the
+index list on which to base the data exchange. 
 
 
                
 
                
@@ -236,7 +203,7 @@ Specified as: a one dimensional array of the same type of 
 
                x
                
 
                global dense result matrix $x$.
 
                
@@ -246,12 +213,15 @@ Type: required
 
                
 Intent: inout.
 
                
-Specified as: an  array of rank one or two
+Returned as:  a rank one or two array 
 containing numbers of type specified in
-Table 15.
+Table 14.
 
                
 
                info
                
-
                Error code.
+
                the local portion of result submatrix $y$.
 
                
 Scope: local 
 
                
@@ -259,80 +229,46 @@ Type: required
 
                
 Intent: out.
 
                
-An integer value; 0 means no error has been detected. 
+An integer value that contains an error code. 
 
                
 
                
 
-
                
-Notes
-
-
                  
-
                1. If there is no overlap in the data distribution associated with
-  the descriptor, no operations are performed;
-
                  2. 
-
                2. The operator $ P^{T}$ performs the reduction sum of overlap
-elements; it is a ``prolongation'' operator $P^T$ that
-replicates overlap elements, accounting for the physical replication
-of data;
-
                  3. 
-
                3. The operator $ P_a$ performs a scaling on the overlap elements by
-the amount of replication; thus, when combined with the reduction
-operator, it implements the average of replicated elements over all of
-their instances. 
-
                  4. 
-
                
-
-
                
-
-
                
+
                
 
-
                Figure 8:
+Figure 7:
 Sample discretization mesh.
 
                
 
                
 \includegraphics[scale=0.65]{figures/try8x8_ov.eps}
+ WIDTH="358" HEIGHT="313" ALIGN="BOTTOM" BORDER="0"
+ SRC="img58.png"
+ ALT="\includegraphics[scale=0.45]{figures/try8x8.eps}">
 
 
 \rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}
+ WIDTH="1" HEIGHT="2" ALIGN="BOTTOM" BORDER="0"
+ SRC="img57.png"
+ ALT="\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}">
 
 
                
 
                
 
                
 
-Example of use
-Consider the discretization mesh depicted in fig. 8,
-partitioned among two processes as shown by the dashed lines, with an
-overlap of 1 extra layer with respect to the partition of
-fig. 7; the data 
-distribution is such that each process will own 40 entries in the
-index space, with an overlap of 16  entries placed at local indices 25 
-through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries
+
                
+Usage Example
+Consider the discretization mesh depicted in fig. 7,
+partitioned among two processes as shown by the dashed line; the data
+distribution is such that each process will own 32 entries in the
+index space, with a halo made of 8 entries placed at local indices 33
+through 40. If process 0 assigns an initial value of 1 to its entries
 in the $x$ vector, and process 1 assigns a value of 2, then after a
-call to psb_ovrl with psb_avg_ and a call to
-psb_halo_ the contents of the local vectors will be the
-following (showing a transition among the two subdomains)  
-
-
                
+call to psb_halo the contents of the local vectors will be the
+following: 
 
                
 
                
 
@@ -355,7 +291,7 @@ Process  1
-
+
@@ -363,7 +299,7 @@ Process  1
-
+
@@ -371,7 +307,7 @@ Process  1
-
+
@@ -379,7 +315,7 @@ Process  1
-
+
@@ -387,7 +323,7 @@ Process  1
-
+
@@ -395,7 +331,7 @@ Process  1
-
+
@@ -403,7 +339,7 @@ Process  1
-
+
@@ -411,7 +347,7 @@ Process  1
-
+
@@ -510,7 +446,7 @@ Process  1
+21   
@@ -518,7 +454,7 @@ Process  1
+22   
@@ -526,7 +462,7 @@ Process  1
+23   
@@ -534,7 +470,7 @@ Process  1
+24   
@@ -542,195 +478,131 @@ Process  1
+25   
-
+
+26   
-
+
+27   
-
+
+28   
-
+
+29   
-
+
+30   
-
+
+31   
-
+
+32   
-
+
+33   
-
+
-
+
+34   
-
+
-
+
+35   
-
+
-
+
+36   
-
+
-
+
+37   
-
+
-
+
+38   
-
+
-
+
+39   
-
+
-
+
+40   
-
+
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
                
 
                  1.0   
     1  
   33     1.5    2.0 
 
                
 
                  
   2   
   1.0   
     2  
   34     1.5    2.0 
 
                
 
                 
   3   
   1.0   
     3  
   35     1.5    2.0 
 
                
 
                 
   4   
   1.0   
     4  
   36     1.5    2.0 
 
                
 
                 
   5   
   1.0   
     5  
   37     1.5    2.0 
 
                
 
                 
   6   
   1.0   
     6  
   38     1.5    2.0 
 
                
 
                 
   7   
   1.0   
     7  
   39     1.5    2.0 
 
                
 
                 
   8   
   1.0   
     8  
   40     1.5    2.0 
 
                
 
                 
   9   
    2.0 
 
                
 
                  
- 21   
    21  
   1.0   
    21  
    2.0 
 
                
 
                 
- 22   
    22  
   1.0   
    22  
    2.0 
 
                
 
                 
- 23   
    23  
   1.0   
    23  
    2.0 
 
                
 
                 
- 24   
    24  
   1.0   
    24  
    2.0 
 
                
 
                 
- 25   
    25    1.5     1.0   
    25  
   57  
    2.0 
 
                
 
                 
- 26   
    26    1.5     1.0   
    26  
   58  
    2.0 
 
                
 
                 
- 27   
    27    1.5     1.0   
    27  
   59  
    2.0 
 
                
 
                 
- 28   
    28    1.5     1.0   
    28  
   60  
    2.0 
 
                
 
                 
- 29   
    29    1.5     1.0   
    29  
   61  
    2.0 
 
                
 
                 
- 30   
    30    1.5     1.0   
    30  
   62  
    2.0 
 
                
 
                 
- 31   
    31    1.5     1.0   
    31  
   63  
    2.0 
 
                
 
                 
- 32   
    32    1.5     1.0   
    32  
   64  
    2.0 
 
                
 
                 
- 33   
    33    1.5     2.0   
    33  
   25     1.5    1.0 
 
                
 
                 
- 34   
    34    1.5     2.0   
    34  
   26     1.5    1.0 
 
                
 
                 
- 35   
    35    1.5     2.0   
    35  
   27     1.5    1.0 
 
                
 
                 
- 36   
    36    1.5     2.0   
    36  
   28     1.5    1.0 
 
                
 
                 
- 37   
    37    1.5     2.0   
    37  
   29     1.5    1.0 
 
                
 
                 
- 38   
    38    1.5     2.0   
    38  
   30     1.5    1.0 
 
                
 
                 
- 39   
    39    1.5     2.0   
    39  
   31     1.5    1.0 
 
                
 
                 
- 40   
    40    1.5     2.0   
    40  
   32     1.5 
                 
- 41      41    2.0      41    17     1.0 
                 
- 42      42    2.0      42    18     1.0 
                 
- 43      43    2.0      43    19     1.0 
                 
- 44      44    2.0      44    20     1.0 
                 
- 45      45    2.0      45    21     1.0 
                 
- 46      46    2.0      46    22     1.0 
                 
- 47      47    2.0      47    23     1.0 
                 
- 48      48    2.0      48    24  
    1.0 
 
                
 
                
@@ -739,26 +611,26 @@ Process  1
                		
 
   
        
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
        
 
 
 
 
 
 
 
 
 
 
                
-
                Table 16:
+Table 15:
 Data types
 
                
 
                
 
+ WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img20.png"
+ ALT="$x$">
-
-
-
-
+
-
+
-
+
-
+
                
 
                $x_i, y$
 Subroutine
 
                Integerpsb_gather
                
 
                Short Precision Realpsb_gatherpsb_ovrl
 
                
 
                Long Precision Realpsb_gatherpsb_ovrl
 
                
 
                Short Precision Complexpsb_gatherpsb_ovrl
 
                
 
                Long Precision Complexpsb_gatherpsb_ovrl
 
                
 
                
 
                
@@ -148,13 +137,13 @@ Data types
 
                
 
                
 \begin{lstlisting}
-call psb_gather(glob_x, loc_x, desc_a, info, root)
-call psb_gather(glob_x, loc_x, desc_a, info, root)
+call psb_ovrl(x, desc_a, info)
+call psb_ovrl(x, desc_a, info, update=update_type, work=work)
 \end{lstlisting}
-
                
+
                 
 
 
                
 
                
@@ -164,21 +153,21 @@ call psb_gather(glob_x, loc_x, desc_a, info, root)
 
                On Entry
                
 
                
 
                
-
                loc_x
                
-
                the local portion of global dense matrix
-$glob\_x$. 
+
                x
                
+
                global dense matrix $x$.
 
                
 Scope: local 
 
                
-Type: required
+Type: required 
 
                
-Intent: in.
+Intent: inout.
 
                
 Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
-indicated in Table 16.
+containing numbers of type specified in
+Table 15.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -191,43 +180,75 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                root
                
-
                The process that holds the global copy. If $root=-1$ all
-  the processes will have a copy of the global vector.
-
                
+
                update
                
+
                Update operator. 
+
                
+
                update = psb_none_
                
+
                Do nothing;
+
                
+
                update = psb_add_
                
+
                Sum overlap entries, i.e. apply $P^T$;
+
                
+
                update = psb_avg_
                
+
                Average overlap entries, i.e. apply $P_aP^T$;
+
                
+
                
 Scope: global 
 
                
-Type: optional
-
                
 Intent: in.
 
                
-Specified as: an integer variable 
 $-1\le root\le np-1$, default $-1$. 
+ WIDTH="166" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img66.png"
+ ALT="$update\_type = psb\_avg\_ $">
+
                
+Scope: global 
+
                
+Specified as: a integer variable.
+
                
+
                work
                
+
                the work array. 
+
                
+Scope: local 
+
                
+Type: optional
+
                
+Intent: inout.
+
                
+Specified as: a one dimensional array of the same type of $x$.
+
+
                
 
                
 
                On Return
                
 
                
 
                
-
                glob_x
                
-
                The array where the local parts must be gathered.
+
                x
                
+
                global dense result matrix $x$.
 
                
-Scope: global 
+Scope: local 
 
                
-Type: required
+Type: required 
 
                
-Intent: out.
+Intent: inout.
 
                
-Specified as: a rank one or two array with the ALLOCATABLE attribute.
+Specified as: an  array of rank one or two
+containing numbers of type specified in
+Table 15.
 
                
 
                info
                
 
                Error code.
@@ -242,29 +263,502 @@ An integer value; 0 means no error has been detected.
 
                
 
                
 
+
                
+Notes
+
+
                  
+
                1. If there is no overlap in the data distribution associated with
+  the descriptor, no operations are performed;
+
                  2. 
+
                2. The operator $ P^{T}$ performs the reduction sum of overlap
+elements; it is a ``prolongation'' operator $P^T$ that
+replicates overlap elements, accounting for the physical replication
+of data;
+
                  3. 
+
                3. The operator $ P_a$ performs a scaling on the overlap elements by
+the amount of replication; thus, when combined with the reduction
+operator, it implements the average of replicated elements over all of
+their instances. 
+
                  4. 
+
                
+
+
                
+
+
                
+
+
+
+
                Figure 8:
+Sample discretization mesh.
                
+
                
+\includegraphics[scale=0.65]{figures/try8x8_ov.eps}
+
+
+\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}
+
+
                
+
                
+
+Example of use
+Consider the discretization mesh depicted in fig. 8,
+partitioned among two processes as shown by the dashed lines, with an
+overlap of 1 extra layer with respect to the partition of
+fig. 7; the data 
+distribution is such that each process will own 40 entries in the
+index space, with an overlap of 16  entries placed at local indices 25 
+through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries
+in the $x$ vector, and process 1 assigns a value of 2, then after a
+call to psb_ovrl with psb_avg_ and a call to
+psb_halo_ the contents of the local vectors will be the
+following (showing a transition among the two subdomains)  
+
+
                
+
                
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+
                
+Process  0 
+Process  1
                 
+  I     GLOB(I)  X(I)      I  GLOB(I)  X(I) 
                 
+  1       1    1.0       1    33     1.5 
                  
+  2       2    1.0       2    34     1.5 
                 
+  3       3    1.0       3    35     1.5 
                 
+  4       4    1.0       4    36     1.5 
                 
+  5       5    1.0       5    37     1.5 
                 
+  6       6    1.0       6    38     1.5 
                 
+  7       7    1.0       7    39     1.5 
                 
+  8       8    1.0       8    40     1.5 
                 
+  9       9    1.0       9    41     2.0 
                 
+ 10      10    1.0      10    42     2.0 
                 
+ 11      11    1.0      11    43     2.0 
                 
+ 12      12    1.0      12    44     2.0 
                 
+ 13      13    1.0      13    45     2.0 
                 
+ 14      14    1.0      14    46     2.0 
                 
+ 15      15    1.0      15    47     2.0 
                 
+ 16      16    1.0      16    48     2.0 
                 
+ 17      17    1.0      17    49     2.0 
                 
+ 18      18    1.0      18    50     2.0 
                 
+ 19      19    1.0      19    51     2.0 
                 
+ 20      20    1.0      20    52     2.0 
                  
+ 21      21    1.0      21    53     2.0 
                 
+ 22      22    1.0      22    54     2.0 
                 
+ 23      23    1.0      23    55     2.0 
                 
+ 24      24    1.0      24    56     2.0 
                 
+ 25      25    1.5      25    57     2.0 
                 
+ 26      26    1.5      26    58     2.0 
                 
+ 27      27    1.5      27    59     2.0 
                 
+ 28      28    1.5      28    60     2.0 
                 
+ 29      29    1.5      29    61     2.0 
                 
+ 30      30    1.5      30    62     2.0 
                 
+ 31      31    1.5      31    63     2.0 
                 
+ 32      32    1.5      32    64     2.0 
                 
+ 33      33    1.5      33    25     1.5 
                 
+ 34      34    1.5      34    26     1.5 
                 
+ 35      35    1.5      35    27     1.5 
                 
+ 36      36    1.5      36    28     1.5 
                 
+ 37      37    1.5      37    29     1.5 
                 
+ 38      38    1.5      38    30     1.5 
                 
+ 39      39    1.5      39    31     1.5 
                 
+ 40      40    1.5      40    32     1.5 
                 
+ 41      41    2.0      41    17     1.0 
                 
+ 42      42    2.0      42    18     1.0 
                 
+ 43      43    2.0      43    19     1.0 
                 
+ 44      44    2.0      44    20     1.0 
                 
+ 45      45    2.0      45    21     1.0 
                 
+ 46      46    2.0      46    22     1.0 
                 
+ 47      47    2.0      47    23     1.0 
                 
+ 48      48    2.0      48    24     1.0 
                
+
                
+
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_scatter   Scatter
- Up: Communication routines
- Previous: psb_ovrl   Overlap
-      Next: psb_gather   Gather
+ Up: Communication routines
+ Previous: psb_halo   Halo
+     Contents 
 
 
diff --git a/docs/html/node66.html b/docs/html/node66.html
index 85e5977b..1f80e7a0 100644
--- a/docs/html/node66.html
+++ b/docs/html/node66.html
@@ -1,76 +1,78 @@
 
 
-
 
 
-psb_scatter -- Scatter Global Dense Matrix
-
+psb_gather -- Gather Global Dense Matrix
+
 
 
 
 
-
+
 
 
 
 
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Data management routines
- Up: Communication routines
- Previous: psb_gather   Gather
-      Next: psb_scatter   Scatter
+ Up: Communication routines
+ Previous: psb_ovrl   Overlap
+     Contents 
 
                
 
                
 
 
-
                
-psb_scatter -- Scatter Global Dense Matrix
+
                
+psb_gather -- Gather Global Dense Matrix
 
                
 
 
                
-These subroutines scatters the portions of global dense matrix owned
-by a process to all the processes in the processes grid.
+These subroutines collect the portions of global dense matrix
+distributed over all process into one single array stored on one
+process.
 
 
                
 
                
 
                
 
 
 \begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath}
+ WIDTH="163" HEIGHT="28" BORDER="0"
+ SRC="img69.png"
+ ALT="\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath}">
 
                
 
                
 
                
@@ -80,7 +82,7 @@ where:
  WIDTH="46" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
  SRC="img70.png"
  ALT="$glob\_x$">
-
                is the global matrix 
 $i$.
 
                
 
                $scatter$
                
-
                is the scatter function.
+ WIDTH="49" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
+ SRC="img73.png"
+ ALT="$collect$">
+
                is the collect function.
 
                
 
 
 
                
 
                
-
                
+
                
 
-
-
+
-
+
-
+
-
+
-
+
                Table 17:
+Table 16:
 Data types
 
                
 
                
@@ -122,19 +124,19 @@ Data types
 
                		Subroutine
 
                
 
                Integerpsb_scatterpsb_gather
 
                
 
                Short Precision Realpsb_scatterpsb_gather
 
                
 
                Long Precision Realpsb_scatterpsb_gather
 
                
 
                Short Precision Complexpsb_scatterpsb_gather
 
                
 
                Long Precision Complexpsb_scatterpsb_gather
 
                
 
                
 
                
@@ -146,11 +148,11 @@ Data types
 
                
 
                
 \begin{lstlisting}
-call psb_scatter(glob_x, loc_x, desc_a, info, root)
-call psb_scatter(glob_x, loc_x, desc_a, info, root)
+call psb_gather(glob_x, loc_x, desc_a, info, root)
+call psb_gather(glob_x, loc_x, desc_a, info, root)
 \end{lstlisting}
 
                
 
@@ -162,16 +164,21 @@ call psb_scatter(glob_x, loc_x, desc_a, info, root)
 
                On Entry
                
 
                
 
                
-
                glob_x
                
-
                The array that must be scattered into local pieces.
+
                loc_x
                
+
                the local portion of global dense matrix
+$glob\_x$. 
 
                
-Scope: global 
+Scope: local 
 
                
 Type: required
 
                
 Intent: in.
 
                
-Specified as: a rank one or two array.
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type 
+indicated in Table 16.
 
                
 
                desc_a
                
 
                contains data structures for communications.
@@ -189,7 +196,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
  WIDTH="74" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
  SRC="img76.png"
  ALT="$root=-1$"> all
-  the processes have a copy of the global vector.
+  the processes will have a copy of the global vector.
 
                
 Scope: global 
 
                
@@ -211,21 +218,16 @@ Specified as: an integer variable 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Data management routines
- Up: Communication routines
- Previous: psb_gather   Gather
-      Next: psb_scatter   Scatter
+ Up: Communication routines
+ Previous: psb_ovrl   Overlap
+     Contents 
 
 
diff --git a/docs/html/node67.html b/docs/html/node67.html
index d0a9cb2f..f5bae346 100644
--- a/docs/html/node67.html
+++ b/docs/html/node67.html
@@ -1,136 +1,279 @@
 
 
-
 
 
-Data management routines
-
+psb_scatter -- Scatter Global Dense Matrix
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdall   Allocates
- Up: userhtml
- Previous: psb_scatter   Scatter
-      Next: Data management routines
+ Up: Communication routines
+ Previous: psb_gather   Gather
+     Contents 
 
                
 
                
 
 
-
                
-
+
                
+psb_scatter -- Scatter Global Dense Matrix
+
                
+
+
                
+These subroutines scatters the portions of global dense matrix owned
+by a process to all the processes in the processes grid.
+
+
                
+
                
+
                
+
+
+\begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath}
+
                
+
                
+
                
+where:
+
                
+
                $glob\_x$
                
+
                is the global matrix 
+$glob\_x_{1:m,1:n}$
+
                
+
                $loc\_x_i$
                
+
                is the local portion of global dense matrix on
+process $i$.
+
                
+
                $scatter$
                
+
                is the scatter function.
+
                
+
                
+
+
                
+
                
+
                
+
+
+
+
                Table 17:
+Data types
                
+
                
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
                $x_i, y$Subroutine
                Integerpsb_scatter
                Short Precision Realpsb_scatter
                Long Precision Realpsb_scatter
                Short Precision Complexpsb_scatter
                Long Precision Complexpsb_scatter
                
+
                
+
                
+
                
 
                
-Data management routines
-
 
 
                
-
                
-
-Subsections
+
                
+\begin{lstlisting}
+call psb_scatter(glob_x, loc_x, desc_a, info, root, mold)
+\end{lstlisting}
+
                
 
-
-
-
                
+
                
+
                
+
                Type:
                
+
                Synchronous.
+
                
+
                On Entry
                
+
                
+
                
+
                glob_x
                
+
                The array that must be scattered into local pieces.
+
                
+Scope: global 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a rank one or two array.
+
                
+
                desc_a
                
+
                contains data structures for communications.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a structured data of type descdatapsb_desc_type.
+
                
+
                root
                
+
                The process that holds the global copy. If $root=-1$ all
+  the processes have a copy of the global vector.
+
                
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Specified as: an integer variable 
+$-1\le root\le np-1$, default
+psb_root_, i.e. process 0. 
+
                
+
                mold
                
+
                The desired dynamic type for the internal vector storage.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is
+only allowed when loc_x is of type vdatapsb_T_vect_type.
+
                
+
                On Return
                
+
                
+
                
+
                loc_x
                
+
                the local portion of global dense matrix
+$glob\_x$. 
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: out.
+
                
+Specified as: a rank one or two ALLOCATABLE array  or an object of type vdatapsb_T_vect_type containing numbers of the type
+indicated in Table 17.
+
                
+
                info
                
+
                Error code.
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
+
                
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: Data management routines
+ Up: Communication routines
+ Previous: psb_gather   Gather
+     Contents 
+
 
 
 
diff --git a/docs/html/node68.html b/docs/html/node68.html
index b6e2e06f..ac901912 100644
--- a/docs/html/node68.html
+++ b/docs/html/node68.html
@@ -1,452 +1,136 @@
 
 
-
 
 
-psb_cdall -- Allocates a communication descriptor
-
+Data management routines
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdins   Communication
- Up: Data management routines
- Previous: Data management routines
-      Next: psb_cdall   Allocates
+ Up: userhtml
+ Previous: psb_scatter   Scatter
+     Contents 
 
                
 
                
 
 
-
                
-psb_cdall -- Allocates a communication descriptor
-
                
-
-
                
-
                -call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)
-call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])
-call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.true.,lidx=lidx])
-call psb_cdall(icontxt, desc_a, info,nl=nl)
-call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
-
                
-
-
                
-This subroutine initializes the communication descriptor associated
-with an index space. One of the  optional arguments
-parts, vg, vl, nl  or repl 
-must be specified, thereby choosing
-the specific initialization strategy.
-
                
-
                On Entry 
                
-
                
-
                
-
                Type:
                
-
                Synchronous.
-
                
-
                icontxt
                
-
                the communication context.
-
                
-Scope:global.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: an integer value.
-
                
-
                vg
                
-
                Data allocation: each index 
-$i\in \{1\dots mg\}$ is allocated
-  to process $vg(i)$.
-
                
-Scope:global.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: an integer array. 
-
                
-
                flag
                
-
                Specifies whether entries in $vg$ are zero- or one-based.
-
                
-Scope:global.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value $0,1$, default $0$.
-
-
                
-
                
-
                mg
                
-
                the (global) number of rows of the problem.
-
                
-Scope:global.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value. It is required if parts or
-repl is specified, it is optional if vg is specified. 
-
                
-
                parts
                
-
                the subroutine that defines the partitioning scheme.
-
                
-Scope:global.
-
                
-Type:required.
-
                
-Specified as: a subroutine. 
-
                
-
                vl
                
-
                Data allocation: the set of global indices 
-  $vl(1:nl)$ belonging to the calling process. 
-
                
-Scope:local.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: an integer array. 
-
                
-
                nl
                
-
                Data allocation: in a generalized block-row distribution the
-  number of indices belonging to the current process. 
-
                
-Scope:local.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value. May be specified together with
-vl. 
-
                
-
                repl
                
-
                Data allocation: build a replicated index space 
-  (i.e. all processes own all indices).
-
                
-Scope:global.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: the logical value .true.
-
                
-
                globalcheck
                
-
                Data allocation: do global checks on the local
-  index lists vl
-
                
-Scope:global.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: a logical value, default: .true.
-
                
-
                lidx
                
-
                Data allocation: the set of local  indices 
-  $lidx(1:nl)$ to be assigned to the global indices $vl$. 
-
                
-Scope:local.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Specified as: an integer array. 
-
                
-
                
-
-
                
-
                
-
                On Return
                
-
                
-
                
-
                desc_a
                
-
                the communication descriptor.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: out.
-
                
-Specified as: a structured data of type descdatapsb_desc_type.
-
                
-
                info
                
-
                Error code.
+
                
+
 
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value; 0 means no error has been detected. 
-
                
-
                
+Data management routines
+
 
 
                
-Notes
+
                
+
+Subsections
 
-
                  
-
                1. One of the optional arguments  parts, vg,
-  vl, nl  or repl must be specified, thereby choosing the
-  initialization   strategy as follows:
-
                  
-
                  parts
                  
-
                  In this case we have a subroutine specifying the mapping
-  between global indices and process/local index pairs. If this
-  optional argument   is specified, then it is mandatory to 
-  specify the argument mg as well.  
-  The subroutine must conform to the following interface: 
-
                  -  interface 
-     subroutine psb_parts(glob_index,mg,np,pv,nv)
-       integer, intent (in)  :: glob_index,np,mg
-       integer, intent (out) :: nv, pv(*)
-     end subroutine psb_parts
-  end interface
-
                  
-  The input arguments are:
-  
                  
-
                  glob_index
                  
-
                  The global index to be mapped;
-    
-
                  
-
                  np
                  
-
                  The number of processes in the mapping;
-    
-
                  
-
                  mg
                  
-
                  The total number of global rows in the mapping;
-  
-
                  
-
                  
-  The output arguments are:
-  
                  
-
                  nv
                  
-
                  The number of entries in pv;
-    
-
                  
-
                  pv
                  
-
                  A vector containing the indices of the processes to
-    which the global index should be assigend; each entry must satisfy
-    
-$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple
-    processes, i.e. we have an overlap among the subdomains.
-  
-
                  
-
                  
-
                  
-
                  vg
                  
-
                  In this case the association between an index and a process
-  is specified via an integer vector  vg(1:mg); 
-  each index 
-$i\in \{1\dots mg\}$ is assigned to process $vg(i)$. 
-  The vector vg must be identical on all
-  calling processes; its entries may have the ranges $(0\dots np-1)$
-  or $(1\dots np)$ according to the value of flag.  
-  The size $mg$ may be  specified via the optional argument mg;
-  the default is to use the entire vector vg, thus having
-  mg=size(vg). 
-
                  
-
                  vl
                  
-
                  In this case we are specifying the list of indices
-  vl(1:nl) assigned   to the current process; thus, the global
-  problem size $mg$ is given by 
-  the range of the aggregate of the individual vectors vl specified
-  in the calling processes. The size may be specified via the optional
-  argument nl; the default is to use the entire vector
-  vl, thus having   nl=size(vl).  
-  If globalcheck=.true.   the subroutine will check how many
-  times  each entry in the global   index   space $(1\dots mg)$ is
-  specified in the input lists   vl, thus allowing for the
-  presence of overlap in the input,   and checking for ``orphan''
-  indices.    If globalcheck=.false., the subroutine will not
-  check for   overlap, and may be significantly faster, but   the user
-  is implicitly guaranteeing that there are neither orphan   nor
-  overlap indices.  
-
                  
-
                  lidx
                  
-
                  The optional argument lidx is available for
-  those cases in which the user has already established a
-  global-to-local mapping; if it is specified, each  index in
-  vl(i) will be mapped to the corresponding local index
-  lidx(i). When specifying the argument lidx the user
-  would also likely employ lidx in calls to psb_cdins
-  and local in calls to psb_spins and psb_geins;
-  see also sec. 2.3.1. 
-
                  
-
                  nl
                  
-
                  If this argument is specified alone (i.e. without vl)
-  the  result is  a generalized row-block   distribution in which each
-  process $I$ gets assigned a consecutive   chunk of $N_I=nl$ global
-  indices. 
-
                  
-
                  repl
                  
-
                  This arguments specifies to replicate all indices on
-  all processes. This is a special purpose data allocation that is
-  useful in the construction of some multilevel preconditioners.
-
                  
-
                  
-
                  2. 
-
                2. On exit from this routine the descriptor is in the build
-  state. 
-
                  3. 
-
                3. Calling the routine with vg or parts implies that
-  every process will scan the entire index space to figure out the
-  local indices.
-
                  4. 
-
                4. Overlapped indices are possible with both parts and
-  vl invocations.
-
                  5. 
-
                5. When the subroutine is invoked with vl in
-  conjunction with globalcheck=.true., it will perform a scan
-  of the index   space to search for overlap or orphan indices.
-
                  6. 
-
                6. When the subroutine is invoked with vl in
-  conjunction with globalcheck=.false., no index space scan
-  will take place. Thus it is the responsibility of the user to make
-  sure that the indices specified in vl have neither orphans nor
-  overlaps; if this assumption fails, results will be 
-  unpredictable. 
-
                  7. 
-
                7. Orphan and overlap indices are
-  impossible by construction when the subroutine is invoked with
-  nl (alone),  or vg.
-
                  8. 
-
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_cdins   Communication
- Up: Data management routines
- Previous: Data management routines
-     Contents 
-
+
+
+
                
 
 
 
diff --git a/docs/html/node69.html b/docs/html/node69.html
index c89696dc..9743dd2c 100644
--- a/docs/html/node69.html
+++ b/docs/html/node69.html
@@ -1,160 +1,226 @@
 
 
-
 
 
-psb_cdins -- Communication descriptor insert routine
-
+psb_cdall -- Allocates a communication descriptor
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdasb   Communication
- Up: Data management routines
- Previous: psb_cdall   Allocates
-      Next: psb_cdins   Communication
+ Up: Data management routines
+ Previous: Data management routines
+     Contents 
 
                
 
                
 
 
-
                
-psb_cdins -- Communication descriptor insert
-  routine
+
                
+psb_cdall -- Allocates a communication descriptor
 
                
 
 
                
 
                -call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla])
-call psb_cdins(nz,ja,desc,info[,jla,mask,lidx])
+call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)
+call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])
+call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.true.,lidx=lidx])
+call psb_cdall(icontxt, desc_a, info,nl=nl)
+call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
 
                
 
 
                
-This subroutine examines the edges of the graph associated with the
-discretization mesh (and isomorphic to the sparsity pattern of a
-linear system coefficient matrix), storing them as necessary into the
-communication descriptor. In the first form the edges are specified as
-pairs of indices $ia(i),ja(i)$; the starting index $ia(i)$ should
-belong to the current process. 
-In the second form only the remote indices $ja(i)$ are specified. 
-
-
                
+This subroutine initializes the communication descriptor associated
+with an index space. One of the  optional arguments
+parts, vg, vl, nl  or repl 
+must be specified, thereby choosing
+the specific initialization strategy.
 
                
-
                Type:
                
-
                Asynchronous.
-
                
-
                On Entry
                
+
                On Entry 
                
 
                
 
                
-
                nz
                
-
                the number of points being inserted.
+
                Type:
                
+
                Synchronous.
+
                
+
                icontxt
                
+
                the communication context.
 
                
-Scope: local.
+Scope:global.
 
                
-Type: required.
+Type:required.
 
                
 Intent: in.
 
                
 Specified as: an integer value.
 
                
-
                ia
                
-
                the indices of the starting vertex of the edges  being inserted.
+
                vg
                
+
                Data allocation: each index 
+$i\in \{1\dots mg\}$ is allocated
+  to process $vg(i)$.
+
                
+Scope:global.
+
                
+Type:optional.
+
                
+Intent: in.
+
                
+Specified as: an integer array. 
+
                
+
                flag
                
+
                Specifies whether entries in $vg$ are zero- or one-based.
+
                
+Scope:global.
+
                
+Type:optional.
+
                
+Intent: in.
+
                
+Specified as: an integer value $0,1$, default $0$.
+
+
                
+
                
+
                mg
                
+
                the (global) number of rows of the problem.
 
                
-Scope: local.
+Scope:global.
+
                
+Type:optional.
+
                
+Intent: in.
+
                
+Specified as: an integer value. It is required if parts or
+repl is specified, it is optional if vg is specified. 
+
                
+
                parts
                
+
                the subroutine that defines the partitioning scheme.
+
                
+Scope:global.
+
                
+Type:required.
+
                
+Specified as: a subroutine. 
+
                
+
                vl
                
+
                Data allocation: the set of global indices 
+  $vl(1:nl)$ belonging to the calling process. 
+
                
+Scope:local.
+
                
+Type:optional.
+
                
+Intent: in.
+
                
+Specified as: an integer array. 
+
                
+
                nl
                
+
                Data allocation: in a generalized block-row distribution the
+  number of indices belonging to the current process. 
+
                
+Scope:local.
 
                
-Type: required.
+Type:optional.
 
                
 Intent: in.
 
                
-Specified as: an integer array of length $nz$.
+Specified as: an integer value. May be specified together with
+vl. 
 
                
-
                ja
                
-
                the indices of the end vertex of the edges  being inserted.
+
                repl
                
+
                Data allocation: build a replicated index space 
+  (i.e. all processes own all indices).
 
                
-Scope: local.
+Scope:global.
 
                
-Type: required.
+Type:optional.
 
                
 Intent: in.
 
                
-Specified as: an integer array of length $nz$.
+Specified as: the logical value .true.
 
                
-
                mask
                
-
                Mask entries in ja, they are inserted only when the
-  corresponding mask entries are .true.
+
                globalcheck
                
+
                Data allocation: do global checks on the local
+  index lists vl
 
                
-Scope: local.
+Scope:global.
 
                
-Type: optional.
+Type:optional.
 
                
 Intent: in.
 
                
-Specified as: a logical  array of length $nz$, default .true..
+Specified as: a logical value, default: .true.
 
                
 
                lidx
                
-
                User defined local indices for ja.
+
                Data allocation: the set of local  indices 
+  $lidx(1:nl)$ to be assigned to the global indices $vl$. 
 
                
-Scope: local.
+Scope:local.
 
                
-Type: optional.
+Type:optional.
 
                
 Intent: in.
 
                
-Specified as: an integer array of length $nz$.
+Specified as: an integer array. 
 
                
 
                
 
@@ -164,13 +230,13 @@ Specified as: an integer array of length 
 
                
 
                desc_a
                
-
                the updated communication descriptor.
+
                the communication descriptor.
 
                
 Scope:local.
 
                
 Type:required.
 
                
-Intent: inout.
+Intent: out.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
@@ -185,75 +251,200 @@ Intent: out.
 
                
 An integer value; 0 means no error has been detected. 
 
-
                ila
                
-
                the local indices of the starting vertex of the edges  being inserted.
-
                
-Scope: local.
-
                
-Type: optional.
-
                
-Intent: out.
-
                
-Specified as: an integer array of length $nz$.
-
                
-
                jla
                
-
                the local indices of the end vertex of the edges  being inserted.
-
                
-Scope: local.
-
                
-Type: optional.
-
                
-Intent: out.
-
                
-Specified as: an integer array of length $nz$.
+
 
 
                
-
                
-
 Notes
 
 
                  
-
                1. This routine may only be called if the descriptor is in the
-  build state;
+
                2. One of the optional arguments  parts, vg,
+  vl, nl  or repl must be specified, thereby choosing the
+  initialization   strategy as follows:
+
                  
+
                  parts
                  
+
                  In this case we have a subroutine specifying the mapping
+  between global indices and process/local index pairs. If this
+  optional argument   is specified, then it is mandatory to 
+  specify the argument mg as well.  
+  The subroutine must conform to the following interface: 
+
                  +  interface 
+     subroutine psb_parts(glob_index,mg,np,pv,nv)
+       integer, intent (in)  :: glob_index,np,mg
+       integer, intent (out) :: nv, pv(*)
+     end subroutine psb_parts
+  end interface
+
                  
+  The input arguments are:
+  
                  
+
                  glob_index
                  
+
                  The global index to be mapped;
+    
+
                  
+
                  np
                  
+
                  The number of processes in the mapping;
+    
+
                  
+
                  mg
                  
+
                  The total number of global rows in the mapping;
+  
+
                  
+
                  
+  The output arguments are:
+  
                  
+
                  nv
                  
+
                  The number of entries in pv;
+    
+
                  
+
                  pv
                  
+
                  A vector containing the indices of the processes to
+    which the global index should be assigend; each entry must satisfy
+    
+$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple
+    processes, i.e. we have an overlap among the subdomains.
+  
+
                  
+
                  
+
                  
+
                  vg
                  
+
                  In this case the association between an index and a process
+  is specified via an integer vector  vg(1:mg); 
+  each index 
+$i\in \{1\dots mg\}$ is assigned to process $vg(i)$. 
+  The vector vg must be identical on all
+  calling processes; its entries may have the ranges $(0\dots np-1)$
+  or $(1\dots np)$ according to the value of flag.  
+  The size $mg$ may be  specified via the optional argument mg;
+  the default is to use the entire vector vg, thus having
+  mg=size(vg). 
+
                  
+
                  vl
                  
+
                  In this case we are specifying the list of indices
+  vl(1:nl) assigned   to the current process; thus, the global
+  problem size $mg$ is given by 
+  the range of the aggregate of the individual vectors vl specified
+  in the calling processes. The size may be specified via the optional
+  argument nl; the default is to use the entire vector
+  vl, thus having   nl=size(vl).  
+  If globalcheck=.true.   the subroutine will check how many
+  times  each entry in the global   index   space $(1\dots mg)$ is
+  specified in the input lists   vl, thus allowing for the
+  presence of overlap in the input,   and checking for ``orphan''
+  indices.    If globalcheck=.false., the subroutine will not
+  check for   overlap, and may be significantly faster, but   the user
+  is implicitly guaranteeing that there are neither orphan   nor
+  overlap indices.  
+
                  
+
                  lidx
                  
+
                  The optional argument lidx is available for
+  those cases in which the user has already established a
+  global-to-local mapping; if it is specified, each  index in
+  vl(i) will be mapped to the corresponding local index
+  lidx(i). When specifying the argument lidx the user
+  would also likely employ lidx in calls to psb_cdins
+  and local in calls to psb_spins and psb_geins;
+  see also sec. 2.3.1. 
+
                  
+
                  nl
                  
+
                  If this argument is specified alone (i.e. without vl)
+  the  result is  a generalized row-block   distribution in which each
+  process $I$ gets assigned a consecutive   chunk of $N_I=nl$ global
+  indices. 
+
                  
+
                  repl
                  
+
                  This arguments specifies to replicate all indices on
+  all processes. This is a special purpose data allocation that is
+  useful in the construction of some multilevel preconditioners.
+
                  
+
                  
+
                  3. 
+
                3. On exit from this routine the descriptor is in the build
+  state. 
 
                  4. 
-
                4. This routine automatically ignores edges that do not
-insist on the  current process, i.e. edges for which neither the starting
-nor the end vertex belong to the current process.
+
                5. Calling the routine with vg or parts implies that
+  every process will scan the entire index space to figure out the
+  local indices.
 
                  6. 
-
                6. The second form of this routine will be useful when dealing with
-  user-specified index mappings; see also 2.3.1.
+
                7. Overlapped indices are possible with both parts and
+  vl invocations.
+
                  8. 
+
                8. When the subroutine is invoked with vl in
+  conjunction with globalcheck=.true., it will perform a scan
+  of the index   space to search for overlap or orphan indices.
+
                  9. 
+
                9. When the subroutine is invoked with vl in
+  conjunction with globalcheck=.false., no index space scan
+  will take place. Thus it is the responsibility of the user to make
+  sure that the indices specified in vl have neither orphans nor
+  overlaps; if this assumption fails, results will be 
+  unpredictable. 
+
                  10. 
+
                10. Orphan and overlap indices are
+  impossible by construction when the subroutine is invoked with
+  nl (alone),  or vg.
 
                  11. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdasb   Communication
- Up: Data management routines
- Previous: psb_cdall   Allocates
-      Next: psb_cdins   Communication
+ Up: Data management routines
+ Previous: Data management routines
+     Contents 
 
 
diff --git a/docs/html/node7.html b/docs/html/node7.html
index efd760c7..eefdd36a 100644
--- a/docs/html/node7.html
+++ b/docs/html/node7.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Programming model
- Up:  Up: Application structure
- Previous:  Previous: Application structure
-       Contents 
 
                
 
                
diff --git a/docs/html/node70.html b/docs/html/node70.html
index bd9437d9..ad99a181 100644
--- a/docs/html/node70.html
+++ b/docs/html/node70.html
@@ -1,84 +1,160 @@
 
 
-
 
 
-psb_cdasb -- Communication descriptor assembly routine
-
+psb_cdins -- Communication descriptor insert routine
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdcpy   Copies
- Up: Data management routines
- Previous: psb_cdins   Communication
-      Next: psb_cdasb   Communication
+ Up: Data management routines
+ Previous: psb_cdall   Allocates
+     Contents 
 
                
 
                
 
 
-
                
-psb_cdasb -- Communication descriptor assembly
+
                
+psb_cdins -- Communication descriptor insert
   routine
 
                
 
 
                
 
                -call psb_cdasb(desc_a, info)
+call psb_cdins(nz, ia, ja, desc_a, info [,ila,jla])
+call psb_cdins(nz,ja,desc,info[,jla,mask,lidx])
 
                
 
+
                
+This subroutine examines the edges of the graph associated with the
+discretization mesh (and isomorphic to the sparsity pattern of a
+linear system coefficient matrix), storing them as necessary into the
+communication descriptor. In the first form the edges are specified as
+pairs of indices $ia(i),ja(i)$; the starting index $ia(i)$ should
+belong to the current process. 
+In the second form only the remote indices $ja(i)$ are specified. 
+
 
                
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                desc_a
                
-
                the communication descriptor.
+
                nz
                
+
                the number of points being inserted.
 
                
-Scope:local.
+Scope: local.
 
                
-Type:required.
+Type: required.
 
                
-Intent: inout.
+Intent: in.
 
                
-Specified as: a structured data of type descdatapsb_desc_type.
+Specified as: an integer value.
+
                
+
                ia
                
+
                the indices of the starting vertex of the edges  being inserted.
+
                
+Scope: local.
+
                
+Type: required.
+
                
+Intent: in.
+
                
+Specified as: an integer array of length $nz$.
+
                
+
                ja
                
+
                the indices of the end vertex of the edges  being inserted.
+
                
+Scope: local.
+
                
+Type: required.
+
                
+Intent: in.
+
                
+Specified as: an integer array of length $nz$.
+
                
+
                mask
                
+
                Mask entries in ja, they are inserted only when the
+  corresponding mask entries are .true.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: a logical  array of length $nz$, default .true..
+
                
+
                lidx
                
+
                User defined local indices for ja.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an integer array of length $nz$.
 
                
 
                
 
@@ -88,7 +164,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                
 
                
 
                desc_a
                
-
                the communication descriptor.
+
                the updated communication descriptor.
 
                
 Scope:local.
 
                
@@ -109,17 +185,77 @@ Intent: out.
 
                
 An integer value; 0 means no error has been detected. 
 
                
+
                ila
                
+
                the local indices of the starting vertex of the edges  being inserted.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: out.
+
                
+Specified as: an integer array of length $nz$.
+
                
+
                jla
                
+
                the local indices of the end vertex of the edges  being inserted.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: out.
+
                
+Specified as: an integer array of length $nz$.
+
+
                
+
                
 
 Notes
 
 
                  
-
                1. On exit from this routine the descriptor is in the assembled
-  state. 
+
                2. This routine may only be called if the descriptor is in the
+  build state;
+
                  3. 
+
                3. This routine automatically ignores edges that do not
+insist on the  current process, i.e. edges for which neither the starting
+nor the end vertex belong to the current process.
+
                  4. 
+
                4. The second form of this routine will be useful when dealing with
+  user-specified index mappings; see also 2.3.1.
 
                  5. 
 
                
 
 
                
-
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: psb_cdasb   Communication
+ Up: Data management routines
+ Previous: psb_cdall   Allocates
+     Contents 
+
 
 
 
diff --git a/docs/html/node71.html b/docs/html/node71.html
index 44aa518a..cccc9a31 100644
--- a/docs/html/node71.html
+++ b/docs/html/node71.html
@@ -1,85 +1,84 @@
 
 
-
 
 
-psb_cdcpy -- Copies a communication descriptor
-
+psb_cdasb -- Communication descriptor assembly routine
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdfree   Frees
- Up: Data management routines
- Previous: psb_cdasb   Communication
-      Next: psb_cdcpy   Copies
+ Up: Data management routines
+ Previous: psb_cdins   Communication
+     Contents 
 
                
 
                
 
 
-
                
-psb_cdcpy -- Copies a communication descriptor
+
                
+psb_cdasb -- Communication descriptor assembly
+  routine
 
                
 
 
                
 
                -call psb_cdcpy(desc_in, desc_out, info)
+call psb_cdasb(desc_a, info)
 
                
 
 
                
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                desc_in
                
+
                desc_a
                
 
                the communication descriptor.
 
                
 Scope:local.
 
                
 Type:required.
 
                
-Intent: in.
+Intent: inout.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
-
-
                
 
                
 
                
 
@@ -88,14 +87,14 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                desc_out
                
-
                the communication descriptor copy.
+
                desc_a
                
+
                the communication descriptor.
 
                
 Scope:local.
 
                
 Type:required.
 
                
-Intent: out.
+Intent: inout.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
@@ -111,6 +110,13 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
 
+Notes
+
+
                  
+
                1. On exit from this routine the descriptor is in the assembled
+  state. 
+
                  2. 
+
                
 
 
                
 
                
diff --git a/docs/html/node72.html b/docs/html/node72.html
index eb76cda2..352674fa 100644
--- a/docs/html/node72.html
+++ b/docs/html/node72.html
@@ -1,83 +1,85 @@
 
 
-
 
 
-psb_cdfree -- Frees a communication descriptor
-
+psb_cdcpy -- Copies a communication descriptor
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_cdbldext   Build
- Up: Data management routines
- Previous: psb_cdcpy   Copies
-      Next: psb_cdfree   Frees
+ Up: Data management routines
+ Previous: psb_cdasb   Communication
+     Contents 
 
                
 
                
 
 
-
                
-psb_cdfree -- Frees a communication descriptor
+
                
+psb_cdcpy -- Copies a communication descriptor
 
                
 
 
                
 
                -call psb_cdfree(desc_a, info)
+call psb_cdcpy(desc_in, desc_out, info)
 
                
 
 
                
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                desc_a
                
-
                the communication descriptor to be freed.
+
                desc_in
                
+
                the communication descriptor.
 
                
 Scope:local.
 
                
 Type:required.
 
                
-Intent: inout.
+Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
+
+
                
 
                
 
                
 
@@ -86,6 +88,17 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
+
                desc_out
                
+
                the communication descriptor copy.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: out.
+
                
+Specified as: a structured data of type descdatapsb_desc_type.
+
                
 
                info
                
 
                Error code.
 
                
diff --git a/docs/html/node73.html b/docs/html/node73.html
index 9ab411cb..0a34ccd6 100644
--- a/docs/html/node73.html
+++ b/docs/html/node73.html
@@ -1,70 +1,66 @@
 
 
-
 
 
-psb_cdbldext -- Build an extended communication descriptor
-
+psb_cdfree -- Frees a communication descriptor
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spall   Allocates
- Up: Data management routines
- Previous: psb_cdfree   Frees
-      Next: psb_cdbldext   Build
+ Up: Data management routines
+ Previous: psb_cdcpy   Copies
+     Contents 
 
                
 
                
 
 
-
                
-psb_cdbldext -- Build an extended  communication
-  descriptor
+
                
+psb_cdfree -- Frees a communication descriptor
 
                
 
 
                
 
                -call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)
+call psb_cdfree(desc_a, info)
 
                
 
 
                
-This subroutine builds an extended communication descriptor, based on
-the input descriptor desc_a and on the stencil specified
-through the input sparse matrix a. 
 
                
 
                Type:
                
 
                Synchronous.
@@ -72,54 +68,16 @@ through the input sparse matrix a.
 
                On Entry
                
 
                
 
                
-
                a
                
-
                A sparse matrix
-Scope:local.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: a structured data type.
-
                
 
                desc_a
                
-
                the communication descriptor.
+
                the communication descriptor to be freed.
 
                
 Scope:local.
 
                
 Type:required.
 
                
-Intent: in.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
-
                nl
                
-
                the number of additional layers desired.
-
                
-Scope:global.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: an integer value $nl\ge 0$. 
-
                
-
                extype
                
-
                the kind of estension required.
-
                
-Scope:global.
-
                
-Type:optional .
-
                
-Intent: in.
+Intent: inout.
 
                
-Specified as: an integer value
-psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_
-
-
                
+Specified as: a structured data of type descdatapsb_desc_type.
 
                
 
                
 
@@ -128,17 +86,6 @@ Specified as: an integer value
 
                On Return
                
 
                
 
                
-
                desc_out
                
-
                the extended communication descriptor.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: inout.
-
                
-Specified as: a structured data of type descdatapsb_desc_type.
-
                
 
                info
                
 
                Error code.
 
                
@@ -153,48 +100,7 @@ An integer value; 0 means no error has been detected.
 
 
 
                
-Notes
-
-
                  
-
                1. Specifying psb_ovt_xhal_ for the extype argument
-  the user will obtain a descriptor for a domain partition in which
-  the additional layers are fetched as part of an (extended) halo;
-  however the index-to-process mapping is identical to that of the
-  base descriptor;
-
                  2. 
-
                2. Specifying psb_ovt_asov_ for the extype argument
-  the user will obtain a descriptor with an overlapped decomposition:
-  the additional layer is aggregated to  the local subdomain (and thus
-  is an overlap), and a new halo extending beyond the last additional
-  layer is formed. 
-
                  3. 
-
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_spall   Allocates
- Up: Data management routines
- Previous: psb_cdfree   Frees
-     Contents 
-
+
                
 
 
 
diff --git a/docs/html/node74.html b/docs/html/node74.html
index 2811d33c..88877c4f 100644
--- a/docs/html/node74.html
+++ b/docs/html/node74.html
@@ -1,66 +1,70 @@
 
 
-
 
 
-psb_spall -- Allocates a sparse matrix
-
+psb_cdbldext -- Build an extended communication descriptor
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spins   Insert
- Up: Data management routines
- Previous: psb_cdbldext   Build
-      Next: psb_spall   Allocates
+ Up: Data management routines
+ Previous: psb_cdfree   Frees
+     Contents 
 
                
 
                
 
 
-
                
-psb_spall -- Allocates a sparse matrix
+
                
+psb_cdbldext -- Build an extended  communication
+  descriptor
 
                
 
 
                
 
                -call psb_spall(a, desc_a, info, nnz)
+call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)
 
                
 
 
                
+This subroutine builds an extended communication descriptor, based on
+the input descriptor desc_a and on the stencil specified
+through the input sparse matrix a. 
 
                
 
                Type:
                
 
                Synchronous.
@@ -68,6 +72,16 @@ call psb_spall(a, desc_a, info, nnz)
 
                On Entry
                
 
                
 
                
+
                a
                
+
                A sparse matrix
+Scope:local.
+
                
+Type:required.
+
                
+Intent: in.
+
                
+Specified as: a structured data type.
+
                
 
                desc_a
                
 
                the communication descriptor.
 
                
@@ -77,19 +91,35 @@ Type:required.
 
                
 Intent: in.
 
                
-Specified as: a structured data of type descdatapsb_desc_type.
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
+
                nl
                
+
                the number of additional layers desired.
+
                
+Scope:global.
+
                
+Type:required.
+
                
+Intent: in.
+
                
+Specified as: an integer value $nl\ge 0$. 
 
                
-
                nnz
                
-
                An estimate of the number of nonzeroes in the local
-  part of the assembled matrix.
+
                extype
                
+
                the kind of estension required.
 
                
-Scope: global.
+Scope:global.
 
                
-Type: optional.
+Type:optional .
 
                
 Intent: in.
 
                
-Specified as: an integer value. 
+Specified as: an integer value
+psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_
+
+
                
 
                
 
                
 
@@ -98,16 +128,16 @@ Specified as: an integer value.
 
                On Return
                
 
                
 
                
-
                a
                
-
                the matrix to be allocated.
+
                desc_out
                
+
                the extended communication descriptor.
 
                
-Scope:local
+Scope:local.
 
                
-Type:required
+Type:required.
 
                
-Intent: out.
+Intent: inout.
 
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
+Specified as: a structured data of type descdatapsb_desc_type.
 
                
 
                info
                
 
                Error code.
@@ -121,47 +151,48 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
+
+
                
 Notes
 
 
                  
-
                1. On exit from this routine the sparse matrix  is in the build
-  state.
-
                  2. 
-
                2. The descriptor may be in either the build or assembled state.
+
                3. Specifying psb_ovt_xhal_ for the extype argument
+  the user will obtain a descriptor for a domain partition in which
+  the additional layers are fetched as part of an (extended) halo;
+  however the index-to-process mapping is identical to that of the
+  base descriptor;
 
                  4. 
-
                4. Providing a good estimate for the number of nonzeroes $nnz$ in
-  the assembled matrix may substantially improve performance in the
-  matrix build phase, as it will reduce or eliminate the need for
-  (potentially multiple) data reallocations. 
+
                5. Specifying psb_ovt_asov_ for the extype argument
+  the user will obtain a descriptor with an overlapped decomposition:
+  the additional layer is aggregated to  the local subdomain (and thus
+  is an overlap), and a new halo extending beyond the last additional
+  layer is formed. 
 
                  6. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spins   Insert
- Up: Data management routines
- Previous: psb_cdbldext   Build
-      Next: psb_spall   Allocates
+ Up: Data management routines
+ Previous: psb_cdfree   Frees
+     Contents 
 
 
diff --git a/docs/html/node75.html b/docs/html/node75.html
index bfa9fd5e..7e38fe06 100644
--- a/docs/html/node75.html
+++ b/docs/html/node75.html
@@ -1,101 +1,75 @@
 
 
-
 
 
-psb_spins -- Insert a cloud of elements into a sparse matrix
-
+psb_spall -- Allocates a sparse matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spasb   Sparse
- Up: Data management routines
- Previous: psb_spall   Allocates
-      Next: psb_spins   Insert
+ Up: Data management routines
+ Previous: psb_cdbldext   Build
+     Contents 
 
                
 
                
 
 
-
                
-psb_spins -- Insert a cloud of elements into a sparse
-  matrix
+
                
+psb_spall -- Allocates a sparse matrix
 
                
 
 
                
 
                -call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
+call psb_spall(a, desc_a, info, nnz)
 
                
 
 
                
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                nz
                
-
                the number of elements to be inserted.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: an integer scalar.
-
                
-
                ia
                
-
                the row indices of the elements to be inserted.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: an integer array of size $nz$.
-
                
-
                ja
                
-
                the column indices of the elements to be inserted.
+
                desc_a
                
+
                the communication descriptor.
 
                
 Scope:local.
 
                
@@ -103,51 +77,19 @@ Type:required.
 
                
 Intent: in.
 
                
-Specified as: an integer array of size $nz$.
+Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                val
                
-
                the elements to be inserted.
+
                nnz
                
+
                An estimate of the number of nonzeroes in the local
+  part of the assembled matrix.
 
                
-Scope:local.
+Scope: global.
 
                
-Type:required.
+Type: optional.
 
                
 Intent: in.
 
                
-Specified as: an array of size $nz$. Must be of the same type and kind
-of the coefficients  of the sparse matrix $a$.
-
                
-
                desc_a
                
-
                The communication descriptor.
-
                
-Scope: local. 
-
                
-Type: required.
-
                
-Intent: inout.
-
                
-Specified as: a variable of type descdatapsb_desc_type.
-
                
-
                local
                
-
                Whether the entries in the indices vectors ia,
-  ja are already in local  numbering. 
-
                
-Scope:local.
-
                
-Type:optional.
-
                
-Specified as: a logical value; default: .false..
-
-
                
+Specified as: an integer value. 
 
                
 
                
 
@@ -157,27 +99,16 @@ Specified as: a logical value; default: .false..
 
                
 
                
 
                a
                
-
                the matrix into which elements will be inserted.
+
                the matrix to be allocated.
 
                
 Scope:local
 
                
 Type:required
 
                
-Intent: inout.
+Intent: out.
 
                
 Specified as: a structured data of type spdatapsb_Tspmat_type.
 
                
-
                desc_a
                
-
                The communication descriptor.
-
                
-Scope: local. 
-
                
-Type: required.
-
                
-Intent: inout.
-
                
-Specified as: a variable of type descdatapsb_desc_type.
-
                
 
                info
                
 
                Error code.
 
                
@@ -190,84 +121,47 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
-
-
                
 Notes
 
 
                  
-
                1. On entry to this routine the descriptor may be in either the
-  build or assembled state.
-
                  2. 
-
                2. On entry to this routine the sparse matrix may be in either the
-  build or update state. 
-
                  3. 
-
                3. If the descriptor is in the build state, then the sparse matrix
-  must also be in the build state; the action of the routine is to
-  (implicitly) call psb_cdins to add entries to the sparsity
-  pattern; each sparse matrix entry implicitly defines a graph edge,
-  that is passed to the descriptor routine for the appropriate
-  processing;
-
                  4. 
-
                4. The coefficients to be inserted are represented by the ordered
-  triples 
-$ia(i),ja(i),val(i)$, for $i=1,\dots,nz$; these triples
-  should belong to the current process, i.e. $ia(i)$ should be one of
-  the local indices, but are otherwise arbitrary;
-
                  5. 
-
                5. There is no
-  requirement that a given row must be passed in its entirety to a
-  single call to this routine: the buildup of a row may be split into
-  as many calls as desired;
-
                  6. 
-
                6. Coefficients from different rows   may also be mixed up freely
-  in a single call, according to the application needs; 
-
                  7. 
-
                7. Any coefficients from matrix rows not owned by the calling
-  process are silently ignored;
+
                8. On exit from this routine the sparse matrix  is in the build
+  state.
 
                  9. 
-
                9. If the descriptor is in the assembled state, then any entries in
-  the sparse matrix that would generate additional communication
-  requirements are  ignored; 
+
                10. The descriptor may be in either the build or assembled state.
 
                  11. 
-
                11. If the matrix is in the update state, any entries in positions
-  that were not present in the original matrix are ignored. 
+
                12. Providing a good estimate for the number of nonzeroes $nnz$ in
+  the assembled matrix may substantially improve performance in the
+  matrix build phase, as it will reduce or eliminate the need for
+  (potentially multiple) data reallocations. 
 
                  13. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spasb   Sparse
- Up: Data management routines
- Previous: psb_spall   Allocates
-      Next: psb_spins   Insert
+ Up: Data management routines
+ Previous: psb_cdbldext   Build
+     Contents 
 
 
diff --git a/docs/html/node76.html b/docs/html/node76.html
index 98599659..8b1f9749 100644
--- a/docs/html/node76.html
+++ b/docs/html/node76.html
@@ -1,75 +1,76 @@
 
 
-
 
 
-psb_spasb -- Sparse matrix assembly routine
-
+psb_spins -- Insert a cloud of elements into a sparse matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spfree   Frees
- Up: Data management routines
- Previous: psb_spins   Insert
-      Next: psb_spasb   Sparse
+ Up: Data management routines
+ Previous: psb_spall   Allocates
+     Contents 
 
                
 
                
 
 
-
                
-psb_spasb -- Sparse matrix assembly routine
+
                
+psb_spins -- Insert a cloud of elements into a sparse
+  matrix
 
                
 
 
                
 
                -call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
+call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
 
                
 
 
                
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                desc_a
                
-
                the communication descriptor.
+
                nz
                
+
                the number of elements to be inserted.
 
                
 Scope:local.
 
                
@@ -77,52 +78,76 @@ Type:required.
 
                
 Intent: in.
 
                
-Specified as: a structured data of type descdatapsb_desc_type.
+Specified as: an integer scalar.
 
                
-
                afmt
                
-
                the storage format for the sparse matrix.
+
                ia
                
+
                the row indices of the elements to be inserted.
 
                
-Scope: local.
+Scope:local.
 
                
-Type: optional.
+Type:required.
 
                
 Intent: in.
 
                
-Specified as: an array of characters. Defalt:  'CSR'.
+Specified as: an integer array of size $nz$.
 
                
-
                upd
                
-
                Provide for updates to the matrix coefficients.
+
                ja
                
+
                the column indices of the elements to be inserted.
 
                
-Scope: global.
+Scope:local.
 
                
-Type: optional.
+Type:required.
 
                
 Intent: in.
 
                
-Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_
+Specified as: an integer array of size $nz$.
 
                
-
                dupl
                
-
                How to handle duplicate coefficients.
+
                val
                
+
                the elements to be inserted.
 
                
-Scope: global.
+Scope:local.
 
                
-Type: optional.
+Type:required.
 
                
 Intent: in.
 
                
-Specified as: integer, possible values: psb_dupl_ovwrt_,
-psb_dupl_add_, psb_dupl_err_.
+Specified as: an array of size $nz$. Must be of the same type and kind
+of the coefficients  of the sparse matrix $a$.
 
                
-
                mold
                
-
                The desired dynamic type for the internal matrix storage.
+
                desc_a
                
+
                The communication descriptor.
 
                
-Scope: local.
+Scope: local. 
 
                
-Type: optional.
+Type: required.
 
                
-Intent: in.
+Intent: inout.
+
                
+Specified as: a variable of type descdatapsb_desc_type.
+
                
+
                local
                
+
                Whether the entries in the indices vectors ia,
+  ja are already in local  numbering. 
+
                
+Scope:local.
 
                
-Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. 
+Type:optional.
+
                
+Specified as: a logical value; default: .false..
+
+
                
 
                
 
                
 
@@ -132,7 +157,7 @@ Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_
 
                
 
                
 
                a
                
-
                the matrix to be assembled.
+
                the matrix into which elements will be inserted.
 
                
 Scope:local
 
                
@@ -142,6 +167,17 @@ Intent: inout.
 
                
 Specified as: a structured data of type spdatapsb_Tspmat_type.
 
                
+
                desc_a
                
+
                The communication descriptor.
+
                
+Scope: local. 
+
                
+Type: required.
+
                
+Intent: inout.
+
                
+Specified as: a variable of type descdatapsb_desc_type.
+
                
 
                info
                
 
                Error code.
 
                
@@ -159,51 +195,79 @@ An integer value; 0 means no error has been detected.
 Notes
 
 
                  
-
                1. On entry to this routine the descriptor must  be in  the
-  assembled state, i.e. psb_cdasb must already have been called.
+
                2. On entry to this routine the descriptor may be in either the
+  build or assembled state.
+
                  3. 
+
                3. On entry to this routine the sparse matrix may be in either the
+  build or update state. 
+
                  4. 
+
                4. If the descriptor is in the build state, then the sparse matrix
+  must also be in the build state; the action of the routine is to
+  (implicitly) call psb_cdins to add entries to the sparsity
+  pattern; each sparse matrix entry implicitly defines a graph edge,
+  that is passed to the descriptor routine for the appropriate
+  processing;
+
                  5. 
+
                5. The coefficients to be inserted are represented by the ordered
+  triples 
+$ia(i),ja(i),val(i)$, for $i=1,\dots,nz$; these triples
+  should belong to the current process, i.e. $ia(i)$ should be one of
+  the local indices, but are otherwise arbitrary;
 
                  6. 
-
                6. The sparse matrix may be in either the build or update state;
+
                7. There is no
+  requirement that a given row must be passed in its entirety to a
+  single call to this routine: the buildup of a row may be split into
+  as many calls as desired;
 
                  8. 
-
                8. Duplicate entries are detected and handled in both build and
-  update state, with the exception of the error action that is only
-  taken in the build state, i.e. on the first assembly; 
+
                9. Coefficients from different rows   may also be mixed up freely
+  in a single call, according to the application needs; 
 
                  10. 
-
                10. If the update choice is psb_upd_perm_, then subsequent
-  calls to psb_spins to update the matrix must be arranged in
-  such a way as to produce exactly the same sequence of coefficient
-  values as encountered at the first assembly; 
+
                11. Any coefficients from matrix rows not owned by the calling
+  process are silently ignored;
 
                  12. 
-
                12. The output storage format need not be the same on all
-  processes; 
+
                13. If the descriptor is in the assembled state, then any entries in
+  the sparse matrix that would generate additional communication
+  requirements are  ignored; 
 
                  14. 
-
                14. On exit from this routine the matrix is in the assembled state,
-  and thus is suitable for the computational routines. 
+
                15. If the matrix is in the update state, any entries in positions
+  that were not present in the original matrix are ignored. 
 
                  16. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_spfree   Frees
- Up: Data management routines
- Previous: psb_spins   Insert
-      Next: psb_spasb   Sparse
+ Up: Data management routines
+ Previous: psb_spall   Allocates
+     Contents 
 
 
diff --git a/docs/html/node77.html b/docs/html/node77.html
index 90b442cc..c9730e44 100644
--- a/docs/html/node77.html
+++ b/docs/html/node77.html
@@ -1,63 +1,63 @@
 
 
-
 
 
-psb_spfree -- Frees a sparse matrix
-
+psb_spasb -- Sparse matrix assembly routine
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_sprn   Reinit
- Up: Data management routines
- Previous: psb_spasb   Sparse
-      Next: psb_spfree   Frees
+ Up: Data management routines
+ Previous: psb_spins   Insert
+     Contents 
 
                
 
                
 
 
-
                
-psb_spfree -- Frees a sparse matrix
+
                
+psb_spasb -- Sparse matrix assembly routine
 
                
 
 
                
 
                -call psb_spfree(a, desc_a, info)
+call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
 
                
 
 
                
@@ -68,17 +68,6 @@ call psb_spfree(a, desc_a, info)
 
                On Entry
                
 
                
 
                
-
                a
                
-
                the matrix to be freed.
-
                
-Scope:local
-
                
-Type:required
-
                
-Intent: inout.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
 
                desc_a
                
 
                the communication descriptor.
 
                
@@ -90,6 +79,51 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
+
                afmt
                
+
                the storage format for the sparse matrix.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an array of characters. Defalt:  'CSR'.
+
                
+
                upd
                
+
                Provide for updates to the matrix coefficients.
+
                
+Scope: global.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_
+
                
+
                dupl
                
+
                How to handle duplicate coefficients.
+
                
+Scope: global.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: integer, possible values: psb_dupl_ovwrt_,
+psb_dupl_add_, psb_dupl_err_.
+
                
+
                mold
                
+
                The desired dynamic type for the internal matrix storage.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. 
+
                
 
 
 
                
@@ -97,6 +131,17 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
+
                a
                
+
                the matrix to be assembled.
+
                
+Scope:local
+
                
+Type:required
+
                
+Intent: inout.
+
                
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
 
                info
                
 
                Error code.
 
                
@@ -111,7 +156,56 @@ An integer value; 0 means no error has been detected.
 
 
 
                
-
                
+Notes
+
+
                  
+
                1. On entry to this routine the descriptor must  be in  the
+  assembled state, i.e. psb_cdasb must already have been called.
+
                  2. 
+
                2. The sparse matrix may be in either the build or update state;
+
                  3. 
+
                3. Duplicate entries are detected and handled in both build and
+  update state, with the exception of the error action that is only
+  taken in the build state, i.e. on the first assembly; 
+
                  4. 
+
                4. If the update choice is psb_upd_perm_, then subsequent
+  calls to psb_spins to update the matrix must be arranged in
+  such a way as to produce exactly the same sequence of coefficient
+  values as encountered at the first assembly; 
+
                  5. 
+
                5. The output storage format need not be the same on all
+  processes; 
+
                  6. 
+
                6. On exit from this routine the matrix is in the assembled state,
+  and thus is suitable for the computational routines. 
+
                  7. 
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: psb_spfree   Frees
+ Up: Data management routines
+ Previous: psb_spins   Insert
+     Contents 
+
 
 
 
diff --git a/docs/html/node78.html b/docs/html/node78.html
index b6ba441a..4cca5867 100644
--- a/docs/html/node78.html
+++ b/docs/html/node78.html
@@ -1,64 +1,63 @@
 
 
-
 
 
-psb_sprn -- Reinit sparse matrix structure for psblas routines.
-
+psb_spfree -- Frees a sparse matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geall   Allocates
- Up: Data management routines
- Previous: psb_spfree   Frees
-      Next: psb_sprn   Reinit
+ Up: Data management routines
+ Previous: psb_spasb   Sparse
+     Contents 
 
                
 
                
 
 
-
                
-psb_sprn -- Reinit sparse matrix structure for psblas
-  routines.
+
                
+psb_spfree -- Frees a sparse matrix
 
                
 
 
                
 
                -call psb_sprn(a, decsc_a, info, clear)
+call psb_spfree(a, desc_a, info)
 
                
 
 
                
@@ -70,7 +69,7 @@ call psb_sprn(a, decsc_a, info, clear)
 
                
 
                
 
                a
                
-
                the matrix to be reinitialized.
+
                the matrix to be freed.
 
                
 Scope:local
 
                
@@ -91,17 +90,6 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                clear
                
-
                Choose whether to zero out matrix coefficients
-
                
-Scope:local.
-
                
-Type:optional.
-
                
-Intent: in.
-
                
-Default: true.
-
                
 
 
 
                
@@ -121,13 +109,6 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
 
-Notes
-
-
                  
-
                1. On exit from this routine the sparse matrix is in the update
-  state. 
-
                  2. 
-
                
 
 
                
 
                
diff --git a/docs/html/node79.html b/docs/html/node79.html
index 2ed1fab0..4c8ae0ad 100644
--- a/docs/html/node79.html
+++ b/docs/html/node79.html
@@ -1,63 +1,64 @@
 
 
-
 
 
-psb_geall -- Allocates a dense matrix
-
+psb_sprn -- Reinit sparse matrix structure for psblas routines.
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geins   Dense
- Up: Data management routines
- Previous: psb_sprn   Reinit
-      Next: psb_geall   Allocates
+ Up: Data management routines
+ Previous: psb_spfree   Frees
+     Contents 
 
                
 
                
 
 
-
                
-psb_geall -- Allocates a dense matrix
+
                
+psb_sprn -- Reinit sparse matrix structure for psblas
+  routines.
 
                
 
 
                
 
                -call psb_geall(x, desc_a, info, n, lb)
+call psb_sprn(a, decsc_a, info, clear)
 
                
 
 
                
@@ -68,52 +69,38 @@ call psb_geall(x, desc_a, info, n, lb)
 
                On Entry
                
 
                
 
                
-
                desc_a
                
-
                The communication descriptor.
+
                a
                
+
                the matrix to be reinitialized.
 
                
-Scope: local 
+Scope:local
 
                
-Type: required
+Type:required
 
                
-Intent: in.
+Intent: inout.
 
                
-Specified as: a variable of type descdatapsb_desc_type.
-
                
-
                n
                
-
                The number of columns of the dense matrix to be allocated.
+Specified as: a structured data of type spdatapsb_Tspmat_type.
+
                
+
                desc_a
                
+
                the communication descriptor.
 
                
-Scope: local 
+Scope:local.
 
                
-Type: optional
+Type:required.
 
                
 Intent: in.
 
                
-Specified as: Integer scalar, default $1$. It is not a valid argument  if $x$ is a
-rank-1 array. 
+Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                lb
                
-
                The lower bound for the column index range of the dense matrix to be allocated.
+
                clear
                
+
                Choose whether to zero out matrix coefficients
 
                
-Scope: local 
+Scope:local.
 
                
-Type: optional
+Type:optional.
 
                
 Intent: in.
 
                
-Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a
-rank-1 array. 
+Default: true.
 
                
 
 
@@ -122,18 +109,6 @@ rank-1 array.
 
                On Return
                
 
                
 
                
-
                x
                
-
                The dense matrix to be allocated.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: out.
-
                
-Specified as: a rank one or two array with the ALLOCATABLE  attribute
-or an object of type vdatapsb_T_vect_type, of type real, complex or integer.
-
                
 
                info
                
 
                Error code.
 
                
@@ -146,32 +121,15 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
+Notes
 
+
                  
+
                1. On exit from this routine the sparse matrix is in the update
+  state. 
+
                  2. 
+
                
 
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_geins   Dense
- Up: Data management routines
- Previous: psb_sprn   Reinit
-     Contents 
-
+
                
 
 
 
diff --git a/docs/html/node8.html b/docs/html/node8.html
index 46f593a7..8412a3e4 100644
--- a/docs/html/node8.html
+++ b/docs/html/node8.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Data Structures and Classes
- Up:  Up: General overview
- Previous:  Previous: User-defined index mappings
-       Contents 
 
                
 
                
@@ -96,26 +96,26 @@ as:
 
                
 
                
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Data Structures and Classes
- Up:  Up: General overview
- Previous:  Previous: User-defined index mappings
-       Contents 
 
 
diff --git a/docs/html/node80.html b/docs/html/node80.html
index 6e893046..4d356579 100644
--- a/docs/html/node80.html
+++ b/docs/html/node80.html
@@ -1,154 +1,119 @@
 
 
-
 
 
-psb_geins -- Dense matrix insertion routine
-
+psb_geall -- Allocates a dense matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geasb   Assembly
- Up: Data management routines
- Previous: psb_geall   Allocates
-      Next: psb_geins   Dense
+ Up: Data management routines
+ Previous: psb_sprn   Reinit
+     Contents 
 
                
 
                
 
 
-
                
-psb_geins -- Dense matrix insertion routine
+
                
+psb_geall -- Allocates a dense matrix
 
                
 
 
                
 
                -call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
+call psb_geall(x, desc_a, info, n, lb)
 
                
 
 
                
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                m
                
-
                Number of rows in $val$ to be inserted.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: an integer value.
-
                
-
                irw
                
-
                Indices of the rows to be inserted. Specifically, row $i$
-  of $val$ will be inserted into the local row corresponding to the
-  global row index $irw(i)$.
-Scope:local.
-
                
-Type:required.
-
                
-Intent: in.
-
                
-Specified as: an integer array.
-
                
-
                val
                
-
                the dense submatrix to be inserted.
+
                desc_a
                
+
                The communication descriptor.
 
                
-Scope:local.
+Scope: local 
 
                
-Type:required.
+Type: required
 
                
 Intent: in.
 
                
-Specified as: a rank 1 or 2  array.
-Specified as: an integer value.
-
                
-
                desc_a
                
-
                the communication descriptor.
+Specified as: a variable of type descdatapsb_desc_type.
+
                
+
                n
                
+
                The number of columns of the dense matrix to be allocated.
 
                
-Scope:local.
+Scope: local 
 
                
-Type:required.
+Type: optional
 
                
 Intent: in.
 
                
-Specified as: a structured data of type descdatapsb_desc_type.
+Specified as: Integer scalar, default $1$. It is not a valid argument  if $x$ is a
+rank-1 array. 
 
                
-
                dupl
                
-
                How to handle duplicate coefficients.
+
                lb
                
+
                The lower bound for the column index range of the dense matrix to be allocated.
 
                
-Scope: global.
+Scope: local 
 
                
-Type: optional.
+Type: optional
 
                
 Intent: in.
 
                
-Specified as: integer, possible values: psb_dupl_ovwrt_,
-psb_dupl_add_.
-
                
-
                local
                
-
                Whether the entries in the index vector irw,
-   are already in local  numbering. 
-
                
-Scope:local.
-
                
-Type:optional.
-
                
-Specified as: a logical value; default: .false..
-
-
                
+Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a
+rank-1 array. 
 
                
 
                
 
@@ -158,16 +123,16 @@ Specified as: a logical value; default: .false..
 
                
 
                
 
                x
                
-
                the output dense matrix.
+
                The dense matrix to be allocated.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: inout.
+Intent: out.
 
                
-Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type, of
-type real, complex or integer.
+Specified as: a rank one or two array with the ALLOCATABLE  attribute
+or an object of type vdatapsb_T_vect_type, of type real, complex or integer.
 
                
 
                info
                
 
                Error code.
@@ -182,40 +147,29 @@ An integer value; 0 means no error has been detected.
 
                
 
 
-
                
-Notes
-
-
                  
-
                1. Dense vectors/matrices do not have an associated state;
-
                  2. 
-
                2. Duplicate entries are either overwritten or added, there is no
-  provision for raising an error condition. 
-
                  3. 
-
                
-
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_geasb   Assembly
- Up: Data management routines
- Previous: psb_geall   Allocates
-      Next: psb_geins   Dense
+ Up: Data management routines
+ Previous: psb_sprn   Reinit
+     Contents 
 
 
diff --git a/docs/html/node81.html b/docs/html/node81.html
index 689f0e09..7a30970a 100644
--- a/docs/html/node81.html
+++ b/docs/html/node81.html
@@ -1,98 +1,154 @@
 
 
-
 
 
-psb_geasb -- Assembly a dense matrix
-
+psb_geins -- Dense matrix insertion routine
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_gefree   Frees
- Up: Data management routines
- Previous: psb_geins   Dense
-      Next: psb_geasb   Assembly
+ Up: Data management routines
+ Previous: psb_geall   Allocates
+     Contents 
 
                
 
                
 
 
-
                
-psb_geasb -- Assembly a dense matrix
+
                
+psb_geins -- Dense matrix insertion routine
 
                
 
 
                
 
                -call psb_geasb(x, desc_a, info, mold)
+call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
 
                
 
 
                
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry
                
 
                
 
                
+
                m
                
+
                Number of rows in $val$ to be inserted.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: in.
+
                
+Specified as: an integer value.
+
                
+
                irw
                
+
                Indices of the rows to be inserted. Specifically, row $i$
+  of $val$ will be inserted into the local row corresponding to the
+  global row index $irw(i)$.
+Scope:local.
+
                
+Type:required.
+
                
+Intent: in.
+
                
+Specified as: an integer array.
+
                
+
                val
                
+
                the dense submatrix to be inserted.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: in.
+
                
+Specified as: a rank 1 or 2  array.
+Specified as: an integer value.
+
                
 
                desc_a
                
-
                The communication descriptor.
+
                the communication descriptor.
 
                
-Scope: local 
+Scope:local.
 
                
-Type: required
+Type:required.
 
                
 Intent: in.
 
                
-Specified as: a variable of type descdatapsb_desc_type.
-
                
-
                mold
                
-
                The desired dynamic type for the internal vector storage.
+Specified as: a structured data of type descdatapsb_desc_type.
+
                
+
                dupl
                
+
                How to handle duplicate coefficients.
 
                
-Scope: local.
+Scope: global.
 
                
 Type: optional.
 
                
 Intent: in.
 
                
-Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is
-only allowed when $x$ is of type vdatapsb_T_vect_type.
+Specified as: integer, possible values: psb_dupl_ovwrt_,
+psb_dupl_add_.
+
                
+
                local
                
+
                Whether the entries in the index vector irw,
+   are already in local  numbering. 
+
                
+Scope:local.
+
                
+Type:optional.
+
                
+Specified as: a logical value; default: .false..
+
+
                
 
                
 
                
 
@@ -102,7 +158,7 @@ only allowed when 
 
 
                x
                
-
                The dense matrix to be assembled.
+
                the output dense matrix.
 
                
 Scope: local 
 
                
@@ -110,8 +166,8 @@ Type: required
 
                
 Intent: inout.
 
                
-Specified as: a rank one or two array with the ALLOCATABLE or an
-object of type vdatapsb_T_vect_type, of type real, complex or integer.
+Specified as:  a rank one or two array or an object of type vdatapsb_T_vect_type, of
+type real, complex or integer.
 
                
 
                info
                
 
                Error code.
@@ -125,7 +181,43 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
-
                
+
+
                
+Notes
+
+
                  
+
                1. Dense vectors/matrices do not have an associated state;
+
                  2. 
+
                2. Duplicate entries are either overwritten or added, there is no
+  provision for raising an error condition. 
+
                  3. 
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: psb_geasb   Assembly
+ Up: Data management routines
+ Previous: psb_geall   Allocates
+     Contents 
+
 
 
 
diff --git a/docs/html/node82.html b/docs/html/node82.html
index f6eece0d..95a836b9 100644
--- a/docs/html/node82.html
+++ b/docs/html/node82.html
@@ -1,63 +1,63 @@
 
 
-
 
 
-psb_gefree -- Frees a dense matrix
-
+psb_geasb -- Assembly a dense matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_gelp   Applies
- Up: Data management routines
- Previous: psb_geasb   Assembly
-      Next: psb_gefree   Frees
+ Up: Data management routines
+ Previous: psb_geins   Dense
+     Contents 
 
                
 
                
 
 
-
                
-psb_gefree -- Frees a dense matrix
+
                
+psb_geasb -- Assembly a dense matrix
 
                
 
 
                
 
                -call psb_gefree(x, desc_a, info)
+call psb_geasb(x, desc_a, info, mold)
 
                
 
 
                
@@ -68,21 +68,6 @@ call psb_gefree(x, desc_a, info)
 
                On Entry
                
 
                
 
                
-
                x
                
-
                The dense matrix to
-  be freed.
-
                
-Scope: local 
-
                
-Type: required
-
                
-Intent: inout.
-
                
-Specified as: a rank one or two array with the ALLOCATABLE or an
-object of type vdatapsb_T_vect_type, of type real, complex or integer.
-
                
-
                
-
                
 
                desc_a
                
 
                The communication descriptor.
 
                
@@ -94,6 +79,21 @@ Intent: in.
 
                
 Specified as: a variable of type descdatapsb_desc_type.
 
                
+
                mold
                
+
                The desired dynamic type for the internal vector storage.
+
                
+Scope: local.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is
+only allowed when $x$ is of type vdatapsb_T_vect_type.
+
                
 
 
 
                
@@ -101,6 +101,18 @@ Specified as: a variable of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
+
                x
                
+
                The dense matrix to be assembled.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: inout.
+
                
+Specified as: a rank one or two array with the ALLOCATABLE or an
+object of type vdatapsb_T_vect_type, of type real, complex or integer.
+
                
 
                info
                
 
                Error code.
 
                
@@ -113,8 +125,6 @@ Intent: out.
 An integer value; 0 means no error has been detected. 
 
                
 
-
-
                
 
                
 
 
diff --git a/docs/html/node83.html b/docs/html/node83.html
index 4d89a965..b1ce437a 100644
--- a/docs/html/node83.html
+++ b/docs/html/node83.html
@@ -1,118 +1,98 @@
 
 
-
 
 
-psb_gelp -- Applies a left permutation to a dense matrix
-
+psb_gefree -- Frees a dense matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_glob_to_loc   Global
- Up: Data management routines
- Previous: psb_gefree   Frees
-      Next: psb_gelp   Applies
+ Up: Data management routines
+ Previous: psb_geasb   Assembly
+     Contents 
 
                
 
                
 
 
-
                
-psb_gelp -- Applies a left permutation to a dense
-  matrix
+
                
+psb_gefree -- Frees a dense matrix
 
                
 
 
                
 
                -call psb_gelp(trans, iperm, x, info)
+call psb_gefree(x, desc_a, info)
 
                
 
 
                
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry
                
 
                
 
                
-
                trans
                
-
                A character that specifies whether to permute $A$ or $A^T$.
+
                x
                
+
                The dense matrix to
+  be freed.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: in.
-
                
-Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$.
-
                
-
                iperm
                
-
                An integer array containing permutation information.
-
                
-Scope: local 
-
                
-Type: required
+Intent: inout.
 
                
-Intent: in.
+Specified as: a rank one or two array with the ALLOCATABLE or an
+object of type vdatapsb_T_vect_type, of type real, complex or integer.
 
                
-Specified as: an integer one-dimensional array.
-
                
-
                x
                
-
                The dense matrix to be permuted.
+
                
+
                
+
                desc_a
                
+
                The communication descriptor.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: inout.
+Intent: in.
 
                
-Specified as: a one or two dimensional array.
+Specified as: a variable of type descdatapsb_desc_type.
 
                
 
                
 
diff --git a/docs/html/node84.html b/docs/html/node84.html
index ccc4dbc6..c3f05dfc 100644
--- a/docs/html/node84.html
+++ b/docs/html/node84.html
@@ -1,65 +1,64 @@
 
 
-
 
 
-psb_glob_to_loc -- Global to local indices convertion
-
+psb_gelp -- Applies a left permutation to a dense matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_loc_to_glob   Local
- Up: Data management routines
- Previous: psb_gelp   Applies
-      Next: psb_glob_to_loc   Global
+ Up: Data management routines
+ Previous: psb_gefree   Frees
+     Contents 
 
                
 
                
 
 
-
                
-psb_glob_to_loc -- Global to local indices
-  convertion
+
                
+psb_gelp -- Applies a left permutation to a dense
+  matrix
 
                
 
 
                
 
                -call psb_glob_to_loc(x, y, desc_a, info, iact,owned)
-call psb_glob_to_loc(x, desc_a, info, iact,owned)
+call psb_gelp(trans, iperm, x, info)
 
                
 
 
                
@@ -70,51 +69,51 @@ call psb_glob_to_loc(x, desc_a, info, iact,owned)
 
                On Entry
                
 
                
 
                
-
                x
                
-
                An integer vector of indices to be converted.
+
                trans
                
+
                A character that specifies whether to permute $A$ or $A^T$.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: in, inout.
+Intent: in.
 
                
-Specified as: a rank one integer array.
+Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$.
 
                
-
                desc_a
                
-
                the communication descriptor.
+
                iperm
                
+
                An integer array containing permutation information.
 
                
-Scope:local.
+Scope: local 
 
                
-Type:required.
+Type: required
 
                
 Intent: in.
 
                
-Specified as: a structured data of type descdatapsb_desc_type.
-
                
-
                iact
                
-
                specifies action to be taken in case of range errors. 
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
+Specified as: an integer one-dimensional array.
+
                
+
                x
                
+
                The dense matrix to be permuted.
 
                
-Specified as: a character variable  Ignore, Warning or
-Abort, default Ignore.
-
                
-
                owned
                
-
                Specfies valid range of input 
-Scope: global 
+Scope: local 
 
                
-Type: optional
+Type: required
 
                
-Intent: in.
+Intent: inout.
 
                
-If true, then only indices strictly owned by the current process are
-considered valid, if false then halo indices are also
-accepted. Default: false. 
-
                
+Specified as: a one or two dimensional array.
+
                
 
 
 
                
@@ -122,44 +121,6 @@ accepted. Default: false.
 
                On Return
                
 
                
 
                
-
                x
                
-
                If $y$ is not present,
-  then $x$ is overwritten with the translated integer indices. 
-Scope: global 
-
                
-Type: required
-
                
-Intent: inout.
-
                
-Specified as: a rank one integer array.
-
                
-
                y
                
-
                If $y$ is  present,
-  then $y$ is overwritten with the translated integer indices, and $x$
-  is left unchanged. 
-Scope: global 
-
                
-Type: optional
-
                
-Intent: out.
-
                
-Specified as: a rank one integer array.
-
                
 
                info
                
 
                Error code.
 
                
@@ -174,42 +135,7 @@ An integer value; 0 means no error has been detected.
 
 
 
                
-Notes
-
-
                  
-
                1. If an input index is out of range, then the corresponding output
-  index is set to a negative number;
-
                  2. 
-
                2. The default Ignore means that the negative output is the
-  only action taken on an out-of-range input.
-
                  3. 
-
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_loc_to_glob   Local
- Up: Data management routines
- Previous: psb_gelp   Applies
-     Contents 
-
+
                
 
 
 
diff --git a/docs/html/node85.html b/docs/html/node85.html
index 57561a74..5fd8c522 100644
--- a/docs/html/node85.html
+++ b/docs/html/node85.html
@@ -1,65 +1,65 @@
 
 
-
 
 
-psb_loc_to_glob -- Local to global indices conversion
-
+psb_glob_to_loc -- Global to local indices convertion
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_is_owned
- Up: Data management routines
- Previous: psb_glob_to_loc   Global
-      Next: psb_loc_to_glob   Local
+ Up: Data management routines
+ Previous: psb_gelp   Applies
+     Contents 
 
                
 
                
 
 
-
                
-psb_loc_to_glob -- Local to global indices
-  conversion
+
                
+psb_glob_to_loc -- Global to local indices
+  convertion
 
                
 
 
                
 
                -call psb_loc_to_glob(x, y, desc_a, info, iact)
-call psb_loc_to_glob(x, desc_a, info, iact)
+call psb_glob_to_loc(x, y, desc_a, info, iact,owned)
+call psb_glob_to_loc(x, desc_a, info, iact,owned)
 
                
 
 
                
@@ -103,6 +103,18 @@ Intent: in.
 Specified as: a character variable  Ignore, Warning or
 Abort, default Ignore.
 
                
+
                owned
                
+
                Specfies valid range of input 
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+If true, then only indices strictly owned by the current process are
+considered valid, if false then halo indices are also
+accepted. Default: false. 
+
                
 
 
 
                
@@ -116,7 +128,7 @@ Specified as: a character variable  Ignore, Warning or
  SRC="img21.png"
  ALT="$y$"> is not present,
   then $x$ is overwritten with the translated integer indices. 
 Scope: global 
@@ -131,12 +143,12 @@ Specified as: a rank one integer array.
 
                If $y$ is not present,
+ ALT="$y$"> is  present,
   then $y$ is overwritten with the translated integer indices, and $x$
   is left unchanged. 
@@ -161,29 +173,41 @@ An integer value; 0 means no error has been detected.
 
                
 
 
+
                
+Notes
+
+
                  
+
                1. If an input index is out of range, then the corresponding output
+  index is set to a negative number;
+
                  2. 
+
                2. The default Ignore means that the negative output is the
+  only action taken on an out-of-range input.
+
                  3. 
+
                
+
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_is_owned
- Up: Data management routines
- Previous: psb_glob_to_loc   Global
-      Next: psb_loc_to_glob   Local
+ Up: Data management routines
+ Previous: psb_gelp   Applies
+     Contents 
 
 
diff --git a/docs/html/node86.html b/docs/html/node86.html
index 908692e3..53b9e886 100644
--- a/docs/html/node86.html
+++ b/docs/html/node86.html
@@ -1,63 +1,65 @@
 
 
-
 
 
-psb_is_owned -- 
-
+psb_loc_to_glob -- Local to global indices conversion
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_owned_index
- Up: Data management routines
- Previous: psb_loc_to_glob   Local
-      Next: psb_is_owned
+ Up: Data management routines
+ Previous: psb_glob_to_loc   Global
+     Contents 
 
                
 
                
 
 
-
                
-psb_is_owned  -- 
+
                
+psb_loc_to_glob -- Local to global indices
+  conversion
 
                
 
 
                
 
                -call psb_is_owned(x, desc_a)
+call psb_loc_to_glob(x, y, desc_a, info, iact)
+call psb_loc_to_glob(x, desc_a, info, iact)
 
                
 
 
                
@@ -69,15 +71,15 @@ call psb_is_owned(x, desc_a)
 
                
 
                
 
                x
                
-
                Integer index.
+
                An integer vector of indices to be converted.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: in.
+Intent: in, inout.
 
                
-Specified as: a scalar integer.
+Specified as: a rank one integer array.
 
                
 
                desc_a
                
 
                the communication descriptor.
@@ -90,6 +92,17 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
+
                iact
                
+
                specifies action to be taken in case of range errors. 
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Specified as: a character variable  Ignore, Warning or
+Abort, default Ignore.
+
                
 
 
 
                
@@ -97,32 +110,82 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                A logical mask which is true if 
-  x
+
                If $y$ is not present,
+  then $x$ is  owned by the current process
-Scope: local 
+ ALT="$x$"> is overwritten with the translated integer indices. 
+Scope: global 
 
                
 Type: required
 
                
+Intent: inout.
+
                
+Specified as: a rank one integer array.
+
                
+
                y
                
+
                If $y$ is not present,
+  then $y$ is overwritten with the translated integer indices, and $x$
+  is left unchanged. 
+Scope: global 
+
                
+Type: optional
+
                
 Intent: out.
-
                
+
                
+Specified as: a rank one integer array.
+
+
                info
                
+
                Error code.
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
+
                
 
 
 
                
-Notes
-
-
                  
-
                1. This routine returns a .true. value for an index
-  that is strictly owned by the current process, excluding the halo
-  indices
-
                  2. 
-
                
-
-
                
-
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: psb_is_owned
+ Up: Data management routines
+ Previous: psb_glob_to_loc   Global
+     Contents 
+
 
 
 
diff --git a/docs/html/node87.html b/docs/html/node87.html
index f25a81d2..19396d8b 100644
--- a/docs/html/node87.html
+++ b/docs/html/node87.html
@@ -1,63 +1,63 @@
 
 
-
 
 
-psb_owned_index -- 
-
+psb_is_owned -- 
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_is_local
- Up: Data management routines
- Previous: psb_is_owned
-      Next: psb_owned_index
+ Up: Data management routines
+ Previous: psb_loc_to_glob   Local
+     Contents 
 
                
 
                
 
 
-
                
-psb_owned_index  -- 
+
                
+psb_is_owned  -- 
 
                
 
 
                
 
                -call psb_owned_index(y, x, desc_a, info)
+call psb_is_owned(x, desc_a)
 
                
 
 
                
@@ -69,15 +69,15 @@ call psb_owned_index(y, x, desc_a, info)
 
                
 
                
 
                x
                
-
                Integer indices.
+
                Integer index.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: in, inout.
+Intent: in.
 
                
-Specified as: a scalar or a rank one integer array.
+Specified as: a scalar integer.
 
                
 
                desc_a
                
 
                the communication descriptor.
@@ -90,17 +90,6 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                iact
                
-
                specifies action to be taken in case of range errors. 
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Specified as: a character variable  Ignore, Warning or
-Abort, default Ignore.
-
                
 
 
 
                
@@ -108,39 +97,26 @@ Specified as: a character variable  Ignore, Warning or
 
                On Return
                
 
                
 
                
-
                y
                
-
                A logical mask which is true for all corresponding entries of
+
                Function value
                
+
                A logical mask which is true if 
   $x$ that are owned by the current process
+ ALT="$x$"> is  owned by the current process
 Scope: local 
 
                
 Type: required
 
                
 Intent: out.
-
                
-Specified as: a scalar or rank one logical array.
-
                
-
                info
                
-
                Error code.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value; 0 means no error has been detected. 
-
                
+
                
 
 
 
                
 Notes
 
 
                  
-
                1. This routine returns a .true. value for those indices
-  that are strictly owned by the current process, excluding the halo
+
                2. This routine returns a .true. value for an index
+  that is strictly owned by the current process, excluding the halo
   indices
 
                  3. 
 
                
diff --git a/docs/html/node88.html b/docs/html/node88.html
index 43d6b740..12eb87ab 100644
--- a/docs/html/node88.html
+++ b/docs/html/node88.html
@@ -1,63 +1,63 @@
 
 
-
 
 
-psb_is_local -- 
-
+psb_owned_index -- 
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_local_index
- Up: Data management routines
- Previous: psb_owned_index
-      Next: psb_is_local
+ Up: Data management routines
+ Previous: psb_is_owned
+     Contents 
 
                
 
                
 
 
-
                
-psb_is_local  -- 
+
                
+psb_owned_index  -- 
 
                
 
 
                
 
                -call psb_is_local(x, desc_a)
+call psb_owned_index(y, x, desc_a, info)
 
                
 
 
                
@@ -69,15 +69,15 @@ call psb_is_local(x, desc_a)
 
                
 
                
 
                x
                
-
                Integer index.
+
                Integer indices.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: in.
+Intent: in, inout.
 
                
-Specified as: a scalar integer.
+Specified as: a scalar or a rank one integer array.
 
                
 
                desc_a
                
 
                the communication descriptor.
@@ -90,6 +90,17 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
+
                iact
                
+
                specifies action to be taken in case of range errors. 
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Specified as: a character variable  Ignore, Warning or
+Abort, default Ignore.
+
                
 
 
 
                
@@ -97,26 +108,39 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                A logical mask which is true if 
+
                y
                
+
                A logical mask which is true for all corresponding entries of
   $x$ is  local to the current process
+ ALT="$x$"> that are owned by the current process
 Scope: local 
 
                
 Type: required
 
                
 Intent: out.
-
                
+
                
+Specified as: a scalar or rank one logical array.
+
+
                info
                
+
                Error code.
+
                
+Scope: local 
+
                
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
+
                
 
 
 
                
 Notes
 
 
                  
-
                1. This routine returns a .true. value for an index
-  that is local to the current process, including the halo
+
                2. This routine returns a .true. value for those indices
+  that are strictly owned by the current process, excluding the halo
   indices
 
                  3. 
 
                
diff --git a/docs/html/node89.html b/docs/html/node89.html
index 3117df46..ef4289cd 100644
--- a/docs/html/node89.html
+++ b/docs/html/node89.html
@@ -1,63 +1,63 @@
 
 
-
 
 
-psb_local_index -- 
-
+psb_is_local -- 
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_get_boundary   Extract
- Up: Data management routines
- Previous: psb_is_local
-      Next: psb_local_index
+ Up: Data management routines
+ Previous: psb_owned_index
+     Contents 
 
                
 
                
 
 
-
                
-psb_local_index  -- 
+
                
+psb_is_local  -- 
 
                
 
 
                
 
                -call psb_local_index(y, x, desc_a, info)
+call psb_is_local(x, desc_a)
 
                
 
 
                
@@ -69,15 +69,15 @@ call psb_local_index(y, x, desc_a, info)
 
                
 
                
 
                x
                
-
                Integer indices.
+
                Integer index.
 
                
 Scope: local 
 
                
 Type: required
 
                
-Intent: in, inout.
+Intent: in.
 
                
-Specified as: a scalar or a rank one integer array.
+Specified as: a scalar integer.
 
                
 
                desc_a
                
 
                the communication descriptor.
@@ -90,17 +90,6 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                iact
                
-
                specifies action to be taken in case of range errors. 
-Scope: global 
-
                
-Type: optional
-
                
-Intent: in.
-
                
-Specified as: a character variable  Ignore, Warning or
-Abort, default Ignore.
-
                
 
 
 
                
@@ -108,40 +97,27 @@ Specified as: a character variable  Ignore, Warning or
 
                On Return
                
 
                
 
                
-
                y
                
-
                A logical mask which is true for all corresponding entries of
+
                Function value
                
+
                A logical mask which is true if 
   $x$ that are local to  the current process
+ ALT="$x$"> is  local to the current process
 Scope: local 
 
                
 Type: required
 
                
 Intent: out.
-
                
-Specified as: a scalar or rank one logical array.
-
                
-
                info
                
-
                Error code.
-
                
-Scope: local 
-
                
-Type: required 
-
                
-Intent: out.
-
                
-An integer value; 0 means no error has been detected. 
-
                
+
                
 
 
 
                
 Notes
 
 
                  
-
                1. This routine returns a .true. value for those indices
-  that are local to  the current process, including the halo
-  indices.
+
                2. This routine returns a .true. value for an index
+  that is local to the current process, including the halo
+  indices
 
                  3. 
 
                
 
diff --git a/docs/html/node9.html b/docs/html/node9.html
index 9a1d2d12..29269a3d 100644
--- a/docs/html/node9.html
+++ b/docs/html/node9.html
@@ -1,6 +1,6 @@
 
 
-
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Descriptor data structure
- Up:  Up: userhtml
- Previous:  Previous: Programming model
-       Contents 
 
                
 
                
@@ -111,123 +111,125 @@ developer's documentation.
 Subsections
 
 
 
 
                
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
                
- Next:  Next: Descriptor data structure
- Up:  Up: userhtml
- Previous:  Previous: Programming model
-       Contents 
 
 
diff --git a/docs/html/node90.html b/docs/html/node90.html
index fd5ba0dc..dabf6bfe 100644
--- a/docs/html/node90.html
+++ b/docs/html/node90.html
@@ -1,64 +1,63 @@
 
 
-
 
 
-psb_get_boundary -- Extract list of boundary elements
-
+psb_local_index -- 
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_get_overlap   Extract
- Up: Data management routines
- Previous: psb_local_index
-      Next: psb_get_boundary   Extract
+ Up: Data management routines
+ Previous: psb_is_local
+     Contents 
 
                
 
                
 
 
-
                
-psb_get_boundary -- Extract list of boundary
-  elements
+
                
+psb_local_index  -- 
 
                
 
 
                
 
                -call psb_get_boundary(bndel, desc, info)
+call psb_local_index(y, x, desc_a, info)
 
                
 
 
                
@@ -69,7 +68,18 @@ call psb_get_boundary(bndel, desc, info)
 
                On Entry
                
 
                
 
                
-
                desc
                
+
                x
                
+
                Integer indices.
+
                
+Scope: local 
+
                
+Type: required
+
                
+Intent: in, inout.
+
                
+Specified as: a scalar or a rank one integer array.
+
                
+
                desc_a
                
 
                the communication descriptor.
 
                
 Scope:local.
@@ -80,6 +90,17 @@ Intent: in.
 
                
 Specified as: a structured data of type descdatapsb_desc_type.
 
                
+
                iact
                
+
                specifies action to be taken in case of range errors. 
+Scope: global 
+
                
+Type: optional
+
                
+Intent: in.
+
                
+Specified as: a character variable  Ignore, Warning or
+Abort, default Ignore.
+
                
 
 
 
                
@@ -87,19 +108,20 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                bndel
                
-
                The list of boundary elements on the calling process, in
-  local numbering.
-
                
+
                y
                
+
                A logical mask which is true for all corresponding entries of
+  $x$ that are local to  the current process
 Scope: local 
 
                
 Type: required
 
                
 Intent: out.
 
                
-Specified as: a rank one array with the ALLOCATABLE
-attribute, of type integer.
-
                
+Specified as: a scalar or rank one logical array.
+
 
                info
                
 
                Error code.
 
                
@@ -117,12 +139,9 @@ An integer value; 0 means no error has been detected.
 Notes
 
 
                  
-
                1. If there are no boundary elements (i.e., if the local part of
-  the connectivity graph is self-contained) the output vector is set
-  to the ``not allocated'' state. 
-
                  2. 
-
                2. Otherwise the size of bndel will be exactly equal to the
-  number of boundary elements. 
+
                3. This routine returns a .true. value for those indices
+  that are local to  the current process, including the halo
+  indices.
 
                  4. 
 
                
 
diff --git a/docs/html/node91.html b/docs/html/node91.html
index 55496a24..d6394da5 100644
--- a/docs/html/node91.html
+++ b/docs/html/node91.html
@@ -1,64 +1,64 @@
 
 
-
 
 
-psb_get_overlap -- Extract list of overlap elements
-
+psb_get_boundary -- Extract list of boundary elements
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_sp_getrow   Extract
- Up: Data management routines
- Previous: psb_get_boundary   Extract
-      Next: psb_get_overlap   Extract
+ Up: Data management routines
+ Previous: psb_local_index
+     Contents 
 
                
 
                
 
 
-
                
-psb_get_overlap -- Extract list of overlap
+
                
+psb_get_boundary -- Extract list of boundary
   elements
 
                
 
 
                
 
                -call psb_get_overlap(ovrel, desc, info)
+call psb_get_boundary(bndel, desc, info)
 
                
 
 
                
@@ -87,8 +87,8 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
                On Return
                
 
                
 
                
-
                ovrel
                
-
                The list of overlap elements on the calling process, in
+
                bndel
                
+
                The list of boundary elements on the calling process, in
   local numbering.
 
                
 Scope: local 
@@ -117,11 +117,12 @@ An integer value; 0 means no error has been detected.
 Notes
 
 
                  
-
                1. If there are no overlap elements the output vector is set
-  to the ``not allocated'' state.  
+
                2. If there are no boundary elements (i.e., if the local part of
+  the connectivity graph is self-contained) the output vector is set
+  to the ``not allocated'' state. 
 
                  3. 
-
                3. Otherwise the size of ovrel will be exactly equal to the
-  number of overlap elements. 
+
                4. Otherwise the size of bndel will be exactly equal to the
+  number of boundary elements. 
 
                  5. 
 
                
 
diff --git a/docs/html/node92.html b/docs/html/node92.html
index 7aedb1ee..09c0986a 100644
--- a/docs/html/node92.html
+++ b/docs/html/node92.html
@@ -1,65 +1,64 @@
 
 
-
 
 
-psb_sp_getrow -- Extract row(s) from a sparse matrix
-
+psb_get_overlap -- Extract list of overlap elements
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_sizeof   Memory
- Up: Data management routines
- Previous: psb_get_overlap   Extract
-      Next: psb_sp_getrow   Extract
+ Up: Data management routines
+ Previous: psb_get_boundary   Extract
+     Contents 
 
                
 
                
 
 
-
                
-psb_sp_getrow -- Extract row(s) from a sparse
-  matrix
+
                
+psb_get_overlap -- Extract list of overlap
+  elements
 
                
 
 
                
 
                -call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
-              & append, nzin, lrw)
+call psb_get_overlap(ovrel, desc, info)
 
                
 
 
                
@@ -70,75 +69,16 @@ call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
 
                On Entry
                
 
                
 
                
-
                row
                
-
                The (first) row to be extracted.
+
                desc
                
+
                the communication descriptor.
 
                
-Scope:local
-
                
-Type:required
-
                
-Intent: in.
-
                
-Specified as: an integer $>0$.
-
                
-
                a
                
-
                the matrix from  which to get rows.
-
                
-Scope:local
-
                
-Type:required
-
                
-Intent: in.
-
                
-Specified as: a structured data of type spdatapsb_Tspmat_type.
-
                
-
                append
                
-
                Whether to append or overwrite existing output.
-
                
-Scope:local
-
                
-Type:optional
-
                
-Intent: in.
-
                
-Specified as: a logical value default: false (overwrite).
-
                
-
                nzin
                
-
                Input size to be appended to.
-
                
-Scope:local
-
                
-Type:optional
-
                
-Intent: in.
-
                
-Specified as: an integer $>0$. When append is true, specifies how many
-entries in the output vectors are already filled. 
-
                
-
                lrw
                
-
                The last  row to be extracted.
-
                
-Scope:local
+Scope:local.
 
                
-Type:optional
+Type:required.
 
                
 Intent: in.
 
                
-Specified as: an integer $>0$, default: $row$.
-
-
                
+Specified as: a structured data of type descdatapsb_desc_type.
 
                
 
 
@@ -147,50 +87,19 @@ Specified as: an integer On Return
 
                
 
                
-
                nz
                
-
                the number of elements returned by this call.
+
                ovrel
                
+
                The list of overlap elements on the calling process, in
+  local numbering.
 
                
-Scope:local.
+Scope: local 
 
                
-Type:required.
+Type: required
 
                
 Intent: out.
 
                
-Returned  as: an integer scalar.
-
                
-
                ia
                
-
                the row indices.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: inout.
-
                
-Specified as: an integer array with the ALLOCATABLE attribute.
-
                
-
                ja
                
-
                the column indices of the elements to be inserted.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: inout.
-
                
-Specified as: an integer array with the ALLOCATABLE attribute.
-
                
-
                val
                
-
                the elements to be inserted.
-
                
-Scope:local.
-
                
-Type:required.
-
                
-Intent: inout.
-
                
-Specified as: a real  array with the ALLOCATABLE attribute.
-
                
+Specified as: a rank one array with the ALLOCATABLE
+attribute, of type integer.
+
                
 
                info
                
 
                Error code.
 
                
@@ -208,51 +117,16 @@ An integer value; 0 means no error has been detected.
 Notes
 
 
                  
-
                1. The output $nz$ is always the size of the output generated by
-  the current call; thus, if append=.true., the total output
-  size will be $nzin+nz$, with the newly extracted coefficients stored in
-  entries nzin+1:nzin+nz of the array arguments;
+
                2. If there are no overlap elements the output vector is set
+  to the ``not allocated'' state.  
 
                  3. 
-
                3. When append=.true.  the output arrays are reallocated as
-  necessary;
-
                  4. 
-
                4. The row and column indices are returned in the local numbering
-  scheme; if the global numbering is desired, the user may employ the
-  psb_loc_to_glob routine on the output.
+
                5. Otherwise the size of ovrel will be exactly equal to the
+  number of overlap elements. 
 
                  6. 
 
                
 
 
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_sizeof   Memory
- Up: Data management routines
- Previous: psb_get_overlap   Extract
-     Contents 
-
+
                
 
 
 
diff --git a/docs/html/node93.html b/docs/html/node93.html
index 434691eb..87065ba7 100644
--- a/docs/html/node93.html
+++ b/docs/html/node93.html
@@ -1,68 +1,65 @@
 
 
-
 
 
-psb_sizeof -- Memory occupation
-
+psb_sp_getrow -- Extract row(s) from a sparse matrix
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Sorting utilities
- Up: Data management routines
- Previous: psb_sp_getrow   Extract
-      Next: psb_sizeof   Memory
+ Up: Data management routines
+ Previous: psb_get_overlap   Extract
+     Contents 
 
                
 
                
 
 
-
                
-psb_sizeof -- Memory occupation
+
                
+psb_sp_getrow -- Extract row(s) from a sparse
+  matrix
 
                
 
-
                
-This function computes the memory occupation of a PSBLAS object.
-
 
                
 
                -isz = psb_sizeof(a)
-isz = psb_sizeof(desc_a)
-isz = psb_sizeof(prec)
+call psb_sp_getrow(row, a, nz, ia, ja, val, info, &
+              & append, nzin, lrw)
 
                
 
 
                
@@ -73,56 +70,189 @@ isz = psb_sizeof(prec)
 
                On Entry
                
 
                
 
                
+
                row
                
+
                The (first) row to be extracted.
+
                
+Scope:local
+
                
+Type:required
+
                
+Intent: in.
+
                
+Specified as: an integer $>0$.
+
                
 
                a
                
-
                A sparse matrix
-$A$. 
+
                the matrix from  which to get rows.
 
                
-Scope: local 
+Scope:local
 
                
-Type: required
+Type:required
 
                
 Intent: in.
 
                
 Specified as: a structured data of type spdatapsb_Tspmat_type.
 
                
-
                desc_a
                
-
                Communication descriptor.
+
                append
                
+
                Whether to append or overwrite existing output.
 
                
-Scope: local 
+Scope:local
+
                
+Type:optional
+
                
+Intent: in.
+
                
+Specified as: a logical value default: false (overwrite).
+
                
+
                nzin
                
+
                Input size to be appended to.
 
                
-Type: required
+Scope:local
+
                
+Type:optional
 
                
 Intent: in.
 
                
-Specified as: a structured data of type descdatapsb_desc_type.
+Specified as: an integer $>0$. When append is true, specifies how many
+entries in the output vectors are already filled. 
 
                
-
                prec
                
-
                Scope: local 
+
                lrw
                
+
                The last  row to be extracted.
+
                
+Scope:local
 
                
-Type: required
+Type:optional
 
                
 Intent: in.
 
                
-Specified as: a preconditioner data structure precdatapsb_prec_type.
+Specified as: an integer $>0$, default: $row$.
+
+
                
 
                
+
+
+
                
+
                
 
                On Return
                
 
                
 
                
-
                Function value
                
-
                The memory occupation of the object specified in
-  the calling sequence, in bytes.
+
                nz
                
+
                the number of elements returned by this call.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: out.
+
                
+Returned  as: an integer scalar.
+
                
+
                ia
                
+
                the row indices.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: inout.
+
                
+Specified as: an integer array with the ALLOCATABLE attribute.
+
                
+
                ja
                
+
                the column indices of the elements to be inserted.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: inout.
+
                
+Specified as: an integer array with the ALLOCATABLE attribute.
+
                
+
                val
                
+
                the elements to be inserted.
+
                
+Scope:local.
+
                
+Type:required.
+
                
+Intent: inout.
+
                
+Specified as: a real  array with the ALLOCATABLE attribute.
+
                
+
                info
                
+
                Error code.
 
                
 Scope: local 
 
                
-Returned  as: an integer(psb_long_int_k_) number.
+Type: required 
+
                
+Intent: out.
+
                
+An integer value; 0 means no error has been detected. 
 
                
 
                
 
 
                
-
                
+Notes
+
+
                  
+
                1. The output $nz$ is always the size of the output generated by
+  the current call; thus, if append=.true., the total output
+  size will be $nzin+nz$, with the newly extracted coefficients stored in
+  entries nzin+1:nzin+nz of the array arguments;
+
                  2. 
+
                2. When append=.true.  the output arrays are reallocated as
+  necessary;
+
                  3. 
+
                3. The row and column indices are returned in the local numbering
+  scheme; if the global numbering is desired, the user may employ the
+  psb_loc_to_glob routine on the output.
+
                  4. 
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: psb_sizeof   Memory
+ Up: Data management routines
+ Previous: psb_get_overlap   Extract
+     Contents 
+
 
 
 
diff --git a/docs/html/node94.html b/docs/html/node94.html
index 70075db7..7f6ae923 100644
--- a/docs/html/node94.html
+++ b/docs/html/node94.html
@@ -1,293 +1,128 @@
 
 
-
 
 
-Sorting utilities -- 
-
+psb_sizeof -- Memory occupation
+
 
 
 
 
-
+
 
 
 
 
+
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: Parallel environment routines
- Up: Data management routines
- Previous: psb_sizeof   Memory
-      Next: Sorting utilities
+ Up: Data management routines
+ Previous: psb_sp_getrow   Extract
+     Contents 
 
                
 
                
 
 
-
                
-Sorting utilities -- 
+
                
+psb_sizeof -- Memory occupation
 
                
 
 
                
-psb_msort -- Sorting by the Merge-sort
-  algorithm
-
-
                
-psb_qsort -- Sorting by the Quicksort
-  algorithm
+This function computes the memory occupation of a PSBLAS object.
 
 
                
-psb_hsort -- Sorting by the Heapsort  algorithm
 
                -call psb_msort(x,ix,dir,flag)
-call psb_qsort(x,ix,dir,flag)
-call psb_hsort(x,ix,dir,flag)
+isz = psb_sizeof(a)
+isz = psb_sizeof(desc_a)
+isz = psb_sizeof(prec)
 
                
 
 
                
-These  serial routines sort a sequence $X$ into ascending or
-descending  order. The argument meaning is identical for the three
-calls; the only difference is the algorithm used to accomplish the
-task (see Usage Notes below). 
 
                
 
                Type:
                
 
                Asynchronous.
 
                
-
                On Entry 
                
+
                On Entry
                
 
                
 
                
-
                x
                
-
                The sequence to be sorted.
+
                a
                
+
                A sparse matrix
+$A$. 
 
                
-Type:required.
+Scope: local 
 
                
-Specified as: an integer, real or complex  array of rank 1.
-
                
-
                ix
                
-
                A vector of indices.
+Type: required
 
                
-Type:optional.
+Intent: in.
 
                
-Specified as: an integer array of (at least) the same size as $X$.
+Specified as: a structured data of type spdatapsb_Tspmat_type.
 
                
-
                dir
                
-
                The desired ordering.
+
                desc_a
                
+
                Communication descriptor.
 
                
-Type:optional.
+Scope: local 
 
                
-Specified as: an integer value: 
                
-
                Integer and real data:
                
-
                psb_sort_up_,
-psb_sort_down_, psb_asort_up_, psb_asort_down_;
-default psb_sort_up_. 
-
                
-
                Complex data:
                
-
                psb_lsort_up_,
-psb_lsort_down_, psb_asort_up_, psb_asort_down_;
-default psb_lsort_up_. 
-
                
-
                
+Type: required
+
                
+Intent: in.
+
                
+Specified as: a structured data of type descdatapsb_desc_type.
 
                
-
                flag
                
-
                Whether to keep the original values in $IX$.
+
                prec
                
+
                Scope: local 
 
                
-Type:optional.
+Type: required
 
                
-Specified as: an integer value psb_sort_ovw_idx_ or
-psb_sort_keep_idx_; default psb_sort_ovw_idx_.
-
-
                
+Intent: in.
+
                
+Specified as: a preconditioner data structure precdatapsb_prec_type.
 
                
-
                
-
-
                
-
                
 
                On Return
                
 
                
 
                
-
                x
                
-
                The sequence of values, in the chosen ordering.
+
                Function value
                
+
                The memory occupation of the object specified in
+  the calling sequence, in bytes.
 
                
-Type:required.
+Scope: local 
 
                
-Specified as: an integer, real or complex array of rank 1.
-
                
-
                ix
                
-
                A vector of indices.
-
                
-Type: Optional 
-
                
-An integer array of rank 1, whose entries are moved to the same
-position as the corresponding entries in $x$.
+Returned  as: an integer(psb_long_int_k_) number.
 
                
 
                
 
 
                
-
-
                
-Notes
-
-
                  
-
                1. For integer or real data the sorting can be performed in the up/down direction, on the
-  natural or absolute values;
-
                  2. 
-
                2. For  complex data the sorting can  be done in a lexicographic
-  order (i.e.: sort on the real part with ties broken according to
-  the imaginary part) or on the absolute values; 
-
                  3. 
-
                3. The routines return the items in the chosen ordering; the
-  output difference is the handling of  ties (i.e. items with an
-  equal   value) in the original input. With the merge-sort algorithm
-  ties are   preserved in the same relative order as they had in the
-  original   sequence,  while this is not guaranteed for quicksort or
-  heapsort; 
-
                  4. 
-
                4. If 
-$flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$
-  where $n$ is the size of $x$ are initialized to 
-$ix(i) \leftarrow
-i$; thus, upon return from the subroutine, for each
-  index $i$ we have in $ix(i)$ the position that the item $x(i)$
-  occupied in the original data sequence;
-
                  5. 
-
                5. If 
-$flag = psb\_sort\_keep\_idx\_$ the routine will assume that
-  the entries in $ix(:)$ have already been initialized by the user;
-
                  6. 
-
                6. The three sorting algorithms have a similar $O(n \log n)$ expected
-  running time; in the average case quicksort will be the
-  fastest and merge-sort the slowest. However note that:
-
-
                    
-
                  1. The worst case running time for quicksort is $O(n^2)$; the algorithm
-  implemented here follows the well-known median-of-three heuristics,
-  but the worst case may still apply;
-
                    2. 
-
                  2. The worst case running time for merge-sort and heap-sort is
-  $O(n \log n)$ as the average case;
-
                    3. 
-
                  3. The merge-sort algorithm is implemented to take advantage of 
-  subsequences that may be already in the desired ordering prior to
-  the subroutine call; this situation is relatively common when
-  dealing with groups of indices of sparse matrix entries, thus
-  merge-sort is the preferred  choice when a sorting is needed
-  by other routines in the library. 
-
                    4. 
-
                  
-
                  7. 
-
                
-
-
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: Parallel environment routines
- Up: Data management routines
- Previous: psb_sizeof   Memory
-     Contents 
-
+
                
 
 
 
diff --git a/docs/html/node95.html b/docs/html/node95.html
index aa4f5420..975a01b0 100644
--- a/docs/html/node95.html
+++ b/docs/html/node95.html
@@ -1,107 +1,293 @@
 
 
-
 
 
-Parallel environment routines
-
+Sorting utilities -- 
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_init   Initializes
- Up: userhtml
- Previous: Sorting utilities
-      Next: Parallel environment routines
+ Up: Data management routines
+ Previous: psb_sizeof   Memory
+     Contents 
 
                
 
                
 
 
-
                
-
+
                
+Sorting utilities -- 
+
                
+
+
                
+psb_msort -- Sorting by the Merge-sort
+  algorithm
+
+
                
+psb_qsort -- Sorting by the Quicksort
+  algorithm
+
+
                
+psb_hsort -- Sorting by the Heapsort  algorithm
+
                +call psb_msort(x,ix,dir,flag)
+call psb_qsort(x,ix,dir,flag)
+call psb_hsort(x,ix,dir,flag)
+
                
+
+
                
+These  serial routines sort a sequence $X$ into ascending or
+descending  order. The argument meaning is identical for the three
+calls; the only difference is the algorithm used to accomplish the
+task (see Usage Notes below). 
+
                
+
                Type:
                
+
                Asynchronous.
+
                
+
                On Entry 
                
+
                
+
                
+
                x
                
+
                The sequence to be sorted.
+
                
+Type:required.
+
                
+Specified as: an integer, real or complex  array of rank 1.
+
                
+
                ix
                
+
                A vector of indices.
+
                
+Type:optional.
+
                
+Specified as: an integer array of (at least) the same size as $X$.
+
                
+
                dir
                
+
                The desired ordering.
+
                
+Type:optional.
+
                
+Specified as: an integer value: 
                
+
                Integer and real data:
                
+
                psb_sort_up_,
+psb_sort_down_, psb_asort_up_, psb_asort_down_;
+default psb_sort_up_. 
+
                
+
                Complex data:
                
+
                psb_lsort_up_,
+psb_lsort_down_, psb_asort_up_, psb_asort_down_;
+default psb_lsort_up_. 
+
                
+
                
+
                
+
                flag
                
+
                Whether to keep the original values in $IX$.
+
                
+Type:optional.
+
                
+Specified as: an integer value psb_sort_ovw_idx_ or
+psb_sort_keep_idx_; default psb_sort_ovw_idx_.
+
+
                
+
                
+
                
+
+
                
+
                
+
                On Return
                
+
                
+
                
+
                x
                
+
                The sequence of values, in the chosen ordering.
+
                
+Type:required.
 
                
-Parallel environment routines
-
+Specified as: an integer, real or complex array of rank 1.
+
                
+
                ix
                
+
                A vector of indices.
+
                
+Type: Optional 
+
                
+An integer array of rank 1, whose entries are moved to the same
+position as the corresponding entries in $x$.
+
                
+
                
+
+
                
 
 
                
-
                
-
-Subsections
-
-
-
-
                
+Notes
+
+
                  
+
                1. For integer or real data the sorting can be performed in the up/down direction, on the
+  natural or absolute values;
+
                  2. 
+
                2. For  complex data the sorting can  be done in a lexicographic
+  order (i.e.: sort on the real part with ties broken according to
+  the imaginary part) or on the absolute values; 
+
                  3. 
+
                3. The routines return the items in the chosen ordering; the
+  output difference is the handling of  ties (i.e. items with an
+  equal   value) in the original input. With the merge-sort algorithm
+  ties are   preserved in the same relative order as they had in the
+  original   sequence,  while this is not guaranteed for quicksort or
+  heapsort; 
+
                  4. 
+
                4. If 
+$flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$
+  where $n$ is the size of $x$ are initialized to 
+$ix(i) \leftarrow
+i$; thus, upon return from the subroutine, for each
+  index $i$ we have in $ix(i)$ the position that the item $x(i)$
+  occupied in the original data sequence;
+
                  5. 
+
                5. If 
+$flag = psb\_sort\_keep\_idx\_$ the routine will assume that
+  the entries in $ix(:)$ have already been initialized by the user;
+
                  6. 
+
                6. The three sorting algorithms have a similar $O(n \log n)$ expected
+  running time; in the average case quicksort will be the
+  fastest and merge-sort the slowest. However note that:
+
+
                    
+
                  1. The worst case running time for quicksort is $O(n^2)$; the algorithm
+  implemented here follows the well-known median-of-three heuristics,
+  but the worst case may still apply;
+
                    2. 
+
                  2. The worst case running time for merge-sort and heap-sort is
+  $O(n \log n)$ as the average case;
+
                    3. 
+
                  3. The merge-sort algorithm is implemented to take advantage of 
+  subsequences that may be already in the desired ordering prior to
+  the subroutine call; this situation is relatively common when
+  dealing with groups of indices of sparse matrix entries, thus
+  merge-sort is the preferred  choice when a sorting is needed
+  by other routines in the library. 
+
                    4. 
+
                  
+
                  7. 
+
                
+
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: Parallel environment routines
+ Up: Data management routines
+ Previous: psb_sizeof   Memory
+     Contents 
+
 
 
 
diff --git a/docs/html/node96.html b/docs/html/node96.html
index 3810920d..35f96ee4 100644
--- a/docs/html/node96.html
+++ b/docs/html/node96.html
@@ -1,179 +1,107 @@
 
 
-
 
 
-psb_init -- Initializes PSBLAS parallel environment
-
+Parallel environment routines
+
 
 
 
 
-
+
 
 
 
 
-
-
-
+
+
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_info   Return
- Up: Parallel environment routines
- Previous: Parallel environment routines
-      Next: psb_init   Initializes
+ Up: userhtml
+ Previous: Sorting utilities
+     Contents 
 
                
 
                
 
 
-
                
-psb_init -- Initializes PSBLAS parallel
-  environment
-
                
-
-
                
-
                -call psb_init(icontxt, np, basectxt, ids)
-
                
-
-
                
-This subroutine initializes the PSBLAS parallel environment, defining
-a virtual parallel machine.
-
                
-
                Type:
                
-
                Synchronous.
-
                
-
                On Entry 
                
-
                
-
                
-
                np
                
-
                Number of processes in the PSBLAS virtual parallel machine.
-
                
-Scope: global.
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value.  Default: use all available processes.
-
                
-
                basectxt
                
-
                the initial communication context. The new context
-  will be defined from the processes participating in the initial one.
-
                
-Scope: global.
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Specified as: an integer value.  Default: use MPI_COMM_WORLD.
-
                
-
                ids
                
-
                Identities of the processes to use for the new context; the
-  argument is ignored when np is not specified. This allows the
-  processes in the new environment to be in an order different from the
-  original one.
-
                
-Scope: global.
-
                
-Type: optional.
-
                
-Intent: in.
-
                
-Specified as: an integer array.  Default: use the indices $(0\dots np-1)$.  
-
                
-
                
-
-
                
-
                
-
                On Return
                
-
                
-
                
-
                icontxt
                
-
                the communication context identifying the virtual
-  parallel machine. Note that this is always a duplicate of
-  basectxt, so that library communications are completely
-  separated from other communication operations.
+
                
+
 
                
-Scope: global.
-
                
-Type: required.
-
                
-Intent: out.
-
                
-Specified as: an integer variable.
-
                
-
                
+Parallel environment routines
+
 
 
                
-Notes
+
                
+
+Subsections
 
-
                  
-
                1. A call to this routine must precede any other PSBLAS call. 
-
                  2. 
-
                2. It is an error to specify a value for $np$ greater than the
-  number of processes available in the underlying base parallel
-  environment. 
-
                  3. 
-
                
-
-
                
-
                
-
-
-next 
-
-up 
-
-previous 
-
-contents  
-
                
- Next: psb_info   Return
- Up: Parallel environment routines
- Previous: Parallel environment routines
-     Contents 
-
+
+
+
                
 
 
 
diff --git a/docs/html/node97.html b/docs/html/node97.html
index f50df4b7..c1794814 100644
--- a/docs/html/node97.html
+++ b/docs/html/node97.html
@@ -1,87 +1,115 @@
 
 
-
 
 
-psb_info -- Return information about PSBLAS parallel environment
-
+psb_init -- Initializes PSBLAS parallel environment
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_exit   Exit
- Up: Parallel environment routines
- Previous: psb_init   Initializes
-      Next: psb_info   Return
+ Up: Parallel environment routines
+ Previous: Parallel environment routines
+     Contents 
 
                
 
                
 
 
-
                
-psb_info -- Return information about  PSBLAS parallel
+
                
+psb_init -- Initializes PSBLAS parallel
   environment
 
                
 
 
                
 
                -call psb_info(icontxt, iam, np)
+call psb_init(icontxt, np, basectxt, ids)
 
                
 
 
                
-This subroutine returns information about  the PSBLAS parallel environment, defining
+This subroutine initializes the PSBLAS parallel environment, defining
 a virtual parallel machine.
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry 
                
 
                
 
                
-
                icontxt
                
-
                the communication context identifying the virtual
-  parallel machine.
+
                np
                
+
                Number of processes in the PSBLAS virtual parallel machine.
 
                
 Scope: global.
 
                
-Type: required.
+Type: optional.
 
                
 Intent: in.
 
                
-Specified as: an integer variable.
+Specified as: an integer value.  Default: use all available processes.
+
                
+
                basectxt
                
+
                the initial communication context. The new context
+  will be defined from the processes participating in the initial one.
+
                
+Scope: global.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an integer value.  Default: use MPI_COMM_WORLD.
+
                
+
                ids
                
+
                Identities of the processes to use for the new context; the
+  argument is ignored when np is not specified. This allows the
+  processes in the new environment to be in an order different from the
+  original one.
+
                
+Scope: global.
+
                
+Type: optional.
+
                
+Intent: in.
+
                
+Specified as: an integer array.  Default: use the indices $(0\dots np-1)$.  
 
                
 
                
 
@@ -90,24 +118,11 @@ Specified as: an integer variable.
 
                On Return
                
 
                
 
                
-
                iam
                
-
                Identifier of current  process in the PSBLAS virtual parallel machine.
-
                
-Scope: local.
-
                
-Type: required.
-
                
-Intent: out.
-
                
-Specified as: an integer value. 
-$-1 \le iam \le np-1$ 
                
-
                np
                
-
                Number of processes in the PSBLAS virtual parallel machine.
+
                icontxt
                
+
                the communication context identifying the virtual
+  parallel machine. Note that this is always a duplicate of
+  basectxt, so that library communications are completely
+  separated from other communication operations.
 
                
 Scope: global.
 
                
@@ -115,56 +130,48 @@ Type: required.
 
                
 Intent: out.
 
                
-Specified as: an integer variable.  
                
+Specified as: an integer variable.
+
 
 
 
                
 Notes
 
 
                  
-
                1. For processes in the virtual parallel machine  the identifier
-  will satisfy 
-$0 \le iam \le np-1$;
+
                2. A call to this routine must precede any other PSBLAS call. 
 
                  3. 
-
                3. If the user has requested on psb_init a number of
-  processes less than the total available in the parallel execution
-  environment, the remaining processes will have on return $iam=-1$;
-  the only call involving icontxt that any such process may
-  execute is  to psb_exit. 
+
                4. It is an error to specify a value for $np$ greater than the
+  number of processes available in the underlying base parallel
+  environment. 
 
                  5. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_exit   Exit
- Up: Parallel environment routines
- Previous: psb_init   Initializes
-      Next: psb_info   Return
+ Up: Parallel environment routines
+ Previous: Parallel environment routines
+     Contents 
 
 
diff --git a/docs/html/node98.html b/docs/html/node98.html
index 8695820e..241a7f4a 100644
--- a/docs/html/node98.html
+++ b/docs/html/node98.html
@@ -1,72 +1,72 @@
 
 
-
 
 
-psb_exit -- Exit from PSBLAS parallel environment
-
+psb_info -- Return information about PSBLAS parallel environment
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_get_mpicomm   Get
- Up: Parallel environment routines
- Previous: psb_info   Return
-      Next: psb_exit   Exit
+ Up: Parallel environment routines
+ Previous: psb_init   Initializes
+     Contents 
 
                
 
                
 
 
-
                
-psb_exit -- Exit from  PSBLAS parallel
+
                
+psb_info -- Return information about  PSBLAS parallel
   environment
 
                
 
 
                
 
                -call psb_exit(icontxt)
-call psb_exit(icontxt,close)
+call psb_info(icontxt, iam, np)
 
                
 
 
                
-This subroutine exits from the  PSBLAS parallel virtual  machine.
+This subroutine returns information about  the PSBLAS parallel environment, defining
+a virtual parallel machine.
 
                
 
                Type:
                
-
                Synchronous.
+
                Asynchronous.
 
                
 
                On Entry 
                
 
                
@@ -83,67 +83,88 @@ Intent: in.
 
                
 Specified as: an integer variable.
 
                
-
                close
                
-
                Whether to close all data structures related to the
-  virtual parallel machine, besides those associated with icontxt.
+
                
+
+
                
+
                
+
                On Return
                
+
                
+
                
+
                iam
                
+
                Identifier of current  process in the PSBLAS virtual parallel machine.
+
                
+Scope: local.
+
                
+Type: required.
+
                
+Intent: out.
+
                
+Specified as: an integer value. 
+$-1 \le iam \le np-1$ 
                
+
                np
                
+
                Number of processes in the PSBLAS virtual parallel machine.
 
                
 Scope: global.
 
                
-Type: optional.
+Type: required.
 
                
-Intent: in.
+Intent: out.
 
                
-Specified as: a logical  variable, default value: true.
-
                
+Specified as: an integer variable.  
 
                
 
 
                
 Notes
 
 
                  
-
                1. This routine may be called even if a previous call to
-  psb_info has returned with For processes in the virtual parallel machine  the identifier
+  will satisfy 
+$0 \le iam \le np-1$;
+
                  2. 
+
                2. If the user has requested on psb_init a number of
+  processes less than the total available in the parallel execution
+  environment, the remaining processes will have on return $iam=-1$; indeed, it it is the only
-  routine that may be called with argument icontxt in this
-  situation.
-
                  3. 
-
                3. A call to this routine with close=.true. implies a call
-  to MPI_Finalize, after which no parallel routine may be called.
-
                  4. 
-
                4. If the user whishes to use multiple communication contexts in the
-  same program, or to enter and exit multiple times into the parallel
-  environment, this routine may be called to 
-  selectively close the contexts with close=.false., while on
-  the last call it should be called with close=.true. to
-  shutdown in a clean way the entire parallel environment.
+ ALT="$iam=-1$">;
+  the only call involving icontxt that any such process may
+  execute is  to psb_exit. 
 
                  5. 
 
                
 
 
                
 
                
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_get_mpicomm   Get
- Up: Parallel environment routines
- Previous: psb_info   Return
-      Next: psb_exit   Exit
+ Up: Parallel environment routines
+ Previous: psb_init   Initializes
+     Contents 
 
 
diff --git a/docs/html/node99.html b/docs/html/node99.html
index b24389b1..4a4369e8 100644
--- a/docs/html/node99.html
+++ b/docs/html/node99.html
@@ -1,70 +1,72 @@
 
 
-
 
 
-psb_get_mpicomm -- Get the MPI communicator
-
+psb_exit -- Exit from PSBLAS parallel environment
+
 
 
 
 
-
+
 
 
 
 
 
 
-
+
 
 
 
 
 
-
 next 
-
+
 up 
-
 previous 
-
 contents  
 
                
- Next: psb_get_rank   Get
- Up: Parallel environment routines
- Previous: psb_exit   Exit
-      Next: psb_get_mpicomm   Get
+ Up: Parallel environment routines
+ Previous: psb_info   Return
+     Contents 
 
                
 
                
 
 
-
                
-psb_get_mpicomm -- Get the MPI communicator
+
                
+psb_exit -- Exit from  PSBLAS parallel
+  environment
 
                
 
 
                
 
                -call psb_get_mpicomm(icontxt, icomm)
+call psb_exit(icontxt)
+call psb_exit(icontxt,close)
 
                
 
 
                
-This subroutine returns the MPI communicator associated with a PSBLAS context
+This subroutine exits from the  PSBLAS parallel virtual  machine.
 
                
 
                Type:
                
-
                Asynchronous.
+
                Synchronous.
 
                
 
                On Entry 
                
 
                
@@ -81,26 +83,69 @@ Intent: in.
 
                
 Specified as: an integer variable.
 
                
-
                
-
-
                
-
                
-
                On Return
                
-
                
-
                
-
                icomm
                
-
                The MPI communicator associated with the  PSBLAS virtual parallel machine.
+
                close
                
+
                Whether to close all data structures related to the
+  virtual parallel machine, besides those associated with icontxt.
 
                
 Scope: global.
 
                
-Type: required.
+Type: optional.
+
                
+Intent: in.
 
                
-Intent: out.
-
                
+Specified as: a logical  variable, default value: true.
+
 
                
 
 
                
-
                
+Notes
+
+
                  
+
                1. This routine may be called even if a previous call to
+  psb_info has returned with $iam=-1$; indeed, it it is the only
+  routine that may be called with argument icontxt in this
+  situation.
+
                  2. 
+
                2. A call to this routine with close=.true. implies a call
+  to MPI_Finalize, after which no parallel routine may be called.
+
                  3. 
+
                3. If the user whishes to use multiple communication contexts in the
+  same program, or to enter and exit multiple times into the parallel
+  environment, this routine may be called to 
+  selectively close the contexts with close=.false., while on
+  the last call it should be called with close=.true. to
+  shutdown in a clean way the entire parallel environment.
+
                  4. 
+
                
+
+
                
+
                
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
                
+ Next: psb_get_mpicomm   Get
+ Up: Parallel environment routines
+ Previous: psb_info   Return
+     Contents 
+
 
 
 
diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html
index 617a94d1..0c44952e 100644
--- a/docs/html/userhtml.html
+++ b/docs/html/userhtml.html
@@ -1,6 +1,6 @@
 
 
-
 
 
@@ -182,219 +184,221 @@ of  a dense vector
 
 
              • Preconditioner data structure
+
              • Heap data structure
 
 
                
-
              • Computational routines
-
                  
 
                • psb_geaxpby -- General Dense Matrix Sum
+  HREF="node49.html">Computational routines
+
 
                  
-
                • Communication routines
-
                    
 
                  • psb_halo -- Halo Data Communication
+  HREF="node63.html">Communication routines
+
 
                    
-
                  • Data management routines
-
                      
 
                    • psb_cdall -- Allocates a communication descriptor
+  HREF="node68.html">Data management routines
+
 
                      
-
                    • Parallel environment routines
-
                        
 
                      • psb_init -- Initializes PSBLAS parallel
-  environment
+  HREF="node96.html">Parallel environment routines
+
 
                        
-
                      • Error handling
 
                      • Utilities
-
                          
+  HREF="node113.html">Error handling
 
                        • hb_read -- Read a sparse matrix from a file in the
-  Harwell-Boeing format
+  HREF="node114.html">Utilities
+
 
                          
-
                        • Preconditioner routines
-
                            
 
                          • psb_precinit -- Initialize a  preconditioner
+  HREF="node121.html">Preconditioner routines
+
 
                            
-
                          • Iterative Methods
-
 
 
                            
diff --git a/docs/psblas-3.4.pdf b/docs/psblas-3.4.pdf
index b702b398..f4126f1b 100644
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+++ b/docs/psblas-3.4.pdf
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+/F16 11.9552 Tf 124.986 706.129 Td [(gedot)-375(|)-375(Dot)-375(Pro)-31(duct)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(dot)-333(pro)-28(duct)-333(b)-28(et)28(w)27(een)-333(t)28(w)28(o)-334(v)28(ectors)]TJ/F11 9.9626 Tf 252.332 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -285.961 -11.956 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 8.562 0 Td [(are)-333(real)-334(v)28(ectors)-333(it)-334(computes)-333(dot-pro)-28(duct)-333(as:)]TJ/F11 9.9626 Tf 101.783 -20.45 Td [(dot)]TJ/F14 9.9626 Tf 16.38 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 4.113 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(y)]TJ/F8 9.9626 Tf -189.775 -20.451 Td [(Else)-333(if)]TJ/F11 9.9626 Tf 30.359 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(and)]TJ/F11 9.9626 Tf 19.371 0 Td [(y)]TJ/F8 9.9626 Tf 8.563 0 Td [(are)-333(complex)-334(v)28(ectors)-333(then)-334(it)-333(computes)-333(dot-pro)-28(duct)-333(as:)]TJ/F11 9.9626 Tf 80.747 -20.451 Td [(dot)]TJ/F14 9.9626 Tf 16.38 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F10 6.9738 Tf 5.693 4.113 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(y)]TJ
 0 g 0 G
 0 g 0 G
-/F30 9.9626 Tf 0 -18.175 Td [(call)-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
+/F30 9.9626 Tf -190.415 -20.451 Td [(psb_gedot\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
 ET
 q
-1 0 0 1 228.797 586.966 cm
-[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S
+1 0 0 1 183.665 571.704 cm
+[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S
 Q
 BT
-/F11 9.9626 Tf 234.775 578.398 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 88.459 0 Td [(Subroutine)]TJ
+/F11 9.9626 Tf 189.642 563.136 Td [(dot)]TJ/F8 9.9626 Tf 13.612 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F27 9.9626 Tf 88.927 0 Td [(F)96(unction)]TJ
 ET
 q
-1 0 0 1 228.797 574.612 cm
-[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S
+1 0 0 1 183.665 559.35 cm
+[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S
 Q
 BT
-/F8 9.9626 Tf 234.775 566.045 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ
+/F8 9.9626 Tf 189.642 550.783 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ
 ET
 q
-1 0 0 1 370.782 566.244 cm
+1 0 0 1 325.649 550.982 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 373.771 566.045 Td [(gedots)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ
+/F8 9.9626 Tf 328.638 550.783 Td [(gedot)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ
 ET
 q
-1 0 0 1 370.782 554.289 cm
+1 0 0 1 325.649 539.027 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 373.771 554.089 Td [(gedots)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ
+/F8 9.9626 Tf 328.638 538.827 Td [(gedot)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ
 ET
 q
-1 0 0 1 370.782 542.333 cm
+1 0 0 1 325.649 527.071 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 373.771 542.134 Td [(gedots)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ
+/F8 9.9626 Tf 328.638 526.872 Td [(gedot)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ
 ET
 q
-1 0 0 1 370.782 530.378 cm
+1 0 0 1 325.649 515.116 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 373.771 530.179 Td [(gedots)]TJ
+/F8 9.9626 Tf 328.638 514.917 Td [(gedot)]TJ
 ET
 q
-1 0 0 1 228.797 526.393 cm
-[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S
+1 0 0 1 183.665 511.131 cm
+[]0 d 0 J 0.398 w 0 0 m 176.173 0 l S
 Q
 0 g 0 G
 BT
-/F8 9.9626 Tf 278.877 498.354 Td [(T)83(able)-333(3:)-444(Data)-334(t)28(yp)-28(es)]TJ
+/F8 9.9626 Tf 228.067 483.092 Td [(T)83(able)-333(2:)-444(Data)-334(t)28(yp)-28(es)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
-/F27 9.9626 Tf -128.172 -28.356 Td [(T)32(yp)-32(e:)]TJ
+/F27 9.9626 Tf -128.172 -31.542 Td [(T)32(yp)-32(e:)]TJ
 0 g 0 G
 /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ
 0 g 0 G
-/F27 9.9626 Tf -33.797 -18.428 Td [(On)-383(En)32(try)]TJ
+/F27 9.9626 Tf -33.797 -19.339 Td [(On)-383(En)32(try)]TJ
 0 g 0 G
 0 g 0 G
- 0 -18.429 Td [(x)]TJ
+ 0 -19.338 Td [(x)]TJ
 0 g 0 G
-/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ
+/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ
 0 0 1 rg 0 0 1 RG
-/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ
+/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ
 ET
 q
-1 0 0 1 436.673 385.52 cm
+1 0 0 1 385.864 365.251 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 439.811 385.321 Td [(T)]TJ
+/F30 9.9626 Tf 389.002 365.052 Td [(T)]TJ
 ET
 q
-1 0 0 1 445.669 385.52 cm
+1 0 0 1 394.86 365.251 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 448.807 385.321 Td [(vect)]TJ
+/F30 9.9626 Tf 397.998 365.052 Td [(vect)]TJ
 ET
 q
-1 0 0 1 470.356 385.52 cm
+1 0 0 1 419.547 365.251 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 473.495 385.321 Td [(type)]TJ
+/F30 9.9626 Tf 422.685 365.052 Td [(type)]TJ
 0 g 0 G
-/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-375(n)27(um)28(b)-28(ers)-375(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ
+/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-375(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-376(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ
 0 0 1 rg 0 0 1 RG
- [-375(3)]TJ
+ [-375(2)]TJ
 0 g 0 G
- [(.)-570(The)-376(rank)-375(of)]TJ/F11 9.9626 Tf 274.031 0 Td [(x)]TJ/F8 9.9626 Tf 9.432 0 Td [(m)28(ust)-375(b)-28(e)]TJ -283.463 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ
+ [(.)-570(The)-376(rank)-375(of)]TJ/F11 9.9626 Tf 274.03 0 Td [(x)]TJ/F8 9.9626 Tf 9.432 0 Td [(m)28(ust)-376(b)-27(e)]TJ -283.462 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ
 0 g 0 G
-/F27 9.9626 Tf -83.615 -18.428 Td [(y)]TJ
+/F27 9.9626 Tf -83.615 -19.339 Td [(y)]TJ
 0 g 0 G
-/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ
+/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ
 0 0 1 rg 0 0 1 RG
-/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ
+/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ
 ET
 q
-1 0 0 1 436.673 295.361 cm
+1 0 0 1 385.864 274.182 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 439.811 295.162 Td [(T)]TJ
+/F30 9.9626 Tf 389.002 273.982 Td [(T)]TJ
 ET
 q
-1 0 0 1 445.669 295.361 cm
+1 0 0 1 394.86 274.182 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 448.807 295.162 Td [(vect)]TJ
+/F30 9.9626 Tf 397.998 273.982 Td [(vect)]TJ
 ET
 q
-1 0 0 1 470.356 295.361 cm
+1 0 0 1 419.547 274.182 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 473.495 295.162 Td [(type)]TJ
+/F30 9.9626 Tf 422.685 273.982 Td [(type)]TJ
 0 g 0 G
-/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-378(n)27(um)28(b)-28(ers)-378(of)-378(t)28(yp)-28(e)-378(sp)-28(eci\014ed)-378(in)-379(T)84(able)]TJ
+/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-378(n)27(um)28(b)-28(ers)-378(of)-378(t)28(yp)-28(e)-378(sp)-28(eci\014ed)-378(in)-379(T)84(able)]TJ
 0 0 1 rg 0 0 1 RG
- [-378(3)]TJ
+ [-378(2)]TJ
 0 g 0 G
- [(.)-580(The)-378(rank)-378(of)]TJ/F11 9.9626 Tf 274.422 0 Td [(y)]TJ/F8 9.9626 Tf 9.011 0 Td [(m)28(ust)-378(b)-28(e)]TJ -283.433 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ
+ [(.)-580(The)-378(rank)-378(of)]TJ/F11 9.9626 Tf 274.422 0 Td [(y)]TJ/F8 9.9626 Tf 9.01 0 Td [(m)28(ust)-379(b)-27(e)]TJ -283.432 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ
 0 g 0 G
-/F27 9.9626 Tf -84.067 -18.428 Td [(desc)]TJ
+/F27 9.9626 Tf -84.067 -19.338 Td [(desc)]TJ
 ET
 q
-1 0 0 1 172.619 253.022 cm
+1 0 0 1 121.81 230.933 cm
 []0 d 0 J 0.398 w 0 0 m 3.437 0 l S
 Q
 BT
-/F27 9.9626 Tf 176.057 252.823 Td [(a)]TJ
+/F27 9.9626 Tf 125.247 230.734 Td [(a)]TJ
 0 g 0 G
-/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ
+/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ
 0 0 1 rg 0 0 1 RG
-/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ
+/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ
 ET
 q
-1 0 0 1 327.588 205.202 cm
+1 0 0 1 276.779 183.112 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 330.727 205.003 Td [(desc)]TJ
+/F30 9.9626 Tf 279.917 182.913 Td [(desc)]TJ
 ET
 q
-1 0 0 1 352.275 205.202 cm
+1 0 0 1 301.466 183.112 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 355.414 205.003 Td [(type)]TJ
+/F30 9.9626 Tf 304.604 182.913 Td [(type)]TJ
 0 g 0 G
-/F8 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F8 9.9626 Tf 20.922 0 Td [(.)]TJ
 0 g 0 G
-/F27 9.9626 Tf -225.63 -18.429 Td [(On)-383(Return)]TJ
+/F27 9.9626 Tf -225.631 -19.339 Td [(On)-383(Return)]TJ
 0 g 0 G
 0 g 0 G
- 0 -18.428 Td [(res)]TJ
+ 0 -19.338 Td [(F)96(unction)-384(v)64(alue)]TJ
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 ET
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 ET
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 ET
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 ET
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 ET
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 ET
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-1 0 0 1 370.782 534.432 cm
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 ET
 q
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 ET
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-1 0 0 1 370.782 510.522 cm
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 ET
 q
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 Q
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-/F8 9.9626 Tf 373.771 486.412 Td [(gather)]TJ
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 ET
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 BT
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 ET
 q
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-/F8 9.9626 Tf 205.31 423.603 Td [(g)-123(a)-123(t)-123(h)-123(e)-123(r)-229(\050)-215(g)-110(l)-110(o)-110(b)]TJ
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 ET
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 Q
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-/F8 9.9626 Tf 274.766 423.603 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ
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 ET
 q
-1 0 0 1 312.009 423.802 cm
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-/F8 9.9626 Tf 316.265 423.603 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ
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 ET
 q
-1 0 0 1 360.541 423.802 cm
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 ET
 q
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 ET
 q
-1 0 0 1 270.682 411.847 cm
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-/F8 9.9626 Tf 274.766 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ
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 ET
 q
-1 0 0 1 312.009 411.847 cm
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 Q
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-/F8 9.9626 Tf 316.265 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ
+/F8 9.9626 Tf 265.456 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ
 ET
 q
-1 0 0 1 360.541 411.847 cm
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 Q
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-/F8 9.9626 Tf 364.652 411.647 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-124(o)-123(o)-124(t)-230(\051)]TJ
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  0 -19.505 Td [(lo)-32(c)]TJ
 ET
 q
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 Q
 BT
-/F27 9.9626 Tf 169.151 346.213 Td [(x)]TJ
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 ET
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 ET
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 Q
 BT
-/F30 9.9626 Tf 439.811 298.392 Td [(T)]TJ
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 ET
 q
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 Q
 BT
-/F30 9.9626 Tf 448.807 298.392 Td [(vect)]TJ
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 ET
 q
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 Q
 BT
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 ET
 q
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 Q
 BT
-/F27 9.9626 Tf 176.057 266.932 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
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 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F30 9.9626 Tf 365.983 219.111 Td [(desc)]TJ
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 ET
 q
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 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
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 0 g 0 G
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diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex
index 68b14d6a..38251c6b 100644
--- a/docs/src/datastruct.tex
+++ b/docs/src/datastruct.tex
@@ -1142,8 +1142,29 @@ dynamic type corresponding to the desired preconditioner.
 
 % \subsection{Data structure Methods}
 % \label{sec:dataquery}
+\subsection{Heap data structure}
 
-
+Among the tools routines of sec.~\ref{sec:toolsrout}, we have a number
+of sorting utilities; the heap sort is implemented in terms of heaps
+having the following signatures:
+\begin{description}
+\item[\tt psb\_T\_heap]: a heap containing elements of type T, where T
+  can be \verb|i,s,c,d,z| for integer, real and complex data;
+\item[\tt psb\_T\_idx\_heap]: a heap containing elements of type T, as
+  above, together with an integer index.
+\end{description}
+Given a heap object, the following methods are defined on it:
+\begin{description}
+\item[init] Initialize memory; also choose ascending or descending
+  order;
+\item[howmany] Current heap occupancy;
+\item[insert] Add an item (or an item and its index);
+\item[get\_first] Remove and return the first element;
+\item[dump] Print on file;
+\item[free] Release memory.
+\end{description}
+These objects are used in MLD2P4 to implement the factorization
+algorithms. 
 
 %%% Local Variables: 
 %%% mode: latex
diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex
index a4b54a8e..4e5c7f37 100644
--- a/docs/src/userguide.tex
+++ b/docs/src/userguide.tex
@@ -111,7 +111,7 @@
 by Salvatore Filippone\\
 and Alfredo Buttari}\\ 
 University of Rome ``Tor Vergata''.\\[3ex]
-April 30, 2015.
+May 10, 2016.
 \end{minipage}}
 
 %\addtolength{\textwidth}{\centeroffset}
diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex
index 2af6c8bb..f59a5cd6 100644
--- a/docs/src/userhtml.tex
+++ b/docs/src/userhtml.tex
@@ -96,7 +96,7 @@
 %\today
 Software version: 3.4\\
 %\today
-April 30, 2015.
+May 10, 2016. 
 \cleardoublepage
 \begingroup
   \renewcommand*{\thepage}{toc}
diff --git a/docs/src/util.tex b/docs/src/util.tex
index 90c5cc6e..2957c652 100644
--- a/docs/src/util.tex
+++ b/docs/src/util.tex
@@ -2,7 +2,7 @@
 \label{sec:util}
 
 We have some utitlities available for input and output of
-sparsematrices; the interfaces to these routines are available in the
+sparse matrices; the interfaces to these routines are available in the
 module \verb|psb_util_mod|.
 
 
diff --git a/test/pargen/runs/ppde.inp b/test/pargen/runs/ppde.inp
index e69d75a9..22780a3c 100644
--- a/test/pargen/runs/ppde.inp
+++ b/test/pargen/runs/ppde.inp
@@ -2,7 +2,7 @@
 BICGSTAB               Iterative method BICGSTAB CGS  BICG BICGSTABL RGMRES
 BJAC                   Preconditioner NONE  DIAG  BJAC 
 CSR                    Storage format for matrix A:  CSR COO JAD 
-080                    Domain size (acutal system is this**3)
+040                    Domain size (acutal system is this**3)
 2                      Stopping criterion
 1000                   MAXIT
 -1                     ITRACE