diff --git a/docs/html/footnode.html b/docs/html/footnode.html index f36fa421..f84b5d56 100644 --- a/docs/html/footnode.html +++ b/docs/html/footnode.html @@ -25,7 +25,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
-
... +
... explicitly1
In our prototype implementation we provide @@ -63,7 +63,7 @@ sample scatter/gather routines. .
-
... domain... domain2
This is the normal situation when the pattern of the sparse matrix is @@ -104,8 +104,8 @@ sample scatter/gather routines. .
-
... follows3
+
... follows3
The string is case-insensitive 
.
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@@ -23,18 +23,18 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
 next 
 up 
 previous 
-
 contents  
 

- Next:  Next: Contents
-       Contents 
 

 

@@ -65,309 +65,309 @@ December 15th, 2011
 
 
 
 
diff --git a/docs/html/node1.html b/docs/html/node1.html
index 501f2382..f7d7cf71 100644
--- a/docs/html/node1.html
+++ b/docs/html/node1.html
@@ -26,21 +26,21 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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- Next:  Next: Introduction
- Up:  Up: userhtml
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@@ -53,38 +53,36 @@ Contents
 
 
 
    
-
  • Introduction
 
  • Introduction
+
  • General overview
 
 
    
-
  • Data Structures and Classes
 
 
    
 
  • Computational routines
+  HREF="node36.html">Computational routines
 
  • Communication routines
 
  • 
 
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-       Contents 
 
    
 
    
diff --git a/docs/html/node100.html b/docs/html/node100.html
index 6a5d59a6..07c2d302 100644
--- a/docs/html/node100.html
+++ b/docs/html/node100.html
@@ -94,7 +94,7 @@ explicitly.
 
 
    
 
-
    
+
    
 
    
 Figure 9:
 The layout of a generic psb_foo
@@ -124,7 +124,7 @@ called by psb_spasb ... by process 0 (i.e. the root process).
 
 
    
 
-
    
+
    
 
    
 Figure 10:
 A sample PSBLAS-2.0 error
diff --git a/docs/html/node11.html b/docs/html/node11.html
index bc95bcd6..2f89501f 100644
--- a/docs/html/node11.html
+++ b/docs/html/node11.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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-       Contents 
 
    
 
    
diff --git a/docs/html/node112.html b/docs/html/node112.html
index 8daa74d7..526934d3 100644
--- a/docs/html/node112.html
+++ b/docs/html/node112.html
@@ -103,10 +103,10 @@ Error code: if no error, 0 is returned.
 Notes
 Legal inputs to this subroutine are interpreted depending on the
 $ptype$ string as follows3:
+ WIDTH="42" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img138.png"
+ ALT="$ptype$"> string as follows3:
 
    
 
    NONE
    
 
    No preconditioning, i.e. the preconditioner is just a copy
@@ -129,7 +129,7 @@ Legal inputs to this subroutine are interpreted depending on the
   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/node113.html b/docs/html/node113.html
index 35637e7a..8fd09099 100644
--- a/docs/html/node113.html
+++ b/docs/html/node113.html
@@ -57,7 +57,7 @@ psb_precbld -- Builds a preconditioner
 
 
    
 
    -call psb_precbld(a, desc_a, prec, info)
+call psb_precbld(a, desc_a, prec, info,amold,vmold)
 
    
 
 
    
@@ -99,6 +99,30 @@ Intent: in, target.
 
    
 Specified as: a communication descriptor data structure descdatapsb_desc_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.
+
    
+Type: optional.
+
    
+Intent: in.
+
    
+Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. 
+
+
    
+
    
 
    
 
 
    
diff --git a/docs/html/node114.html b/docs/html/node114.html
index eb8eb791..a88fde6f 100644
--- a/docs/html/node114.html
+++ b/docs/html/node114.html
@@ -87,7 +87,7 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a double precision array.
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type. 
 
 
    desc_a
    
 
    the problem communication descriptor.
@@ -133,7 +133,7 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a double precision array.
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
 
    
 
    info
    
 
    Error code.
diff --git a/docs/html/node117.html b/docs/html/node117.html
index d443e839..c6531912 100644
--- a/docs/html/node117.html
+++ b/docs/html/node117.html
@@ -72,8 +72,8 @@ err = \frac{\|r_i\|}{(\|A\|\|x_i\|+\|b\|)} < eps
  -->
 
 \begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath}
 
 
    
@@ -89,19 +89,19 @@ err = \frac{\|r_i\|}{\|b\|_2} < eps
 
 \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 required
 
    
 Intent: in.
 
    
-Specified as: a rank one array.
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
 
    
 
    x
    
 
    The initial guess. 
@@ -198,7 +198,7 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a rank one array.
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
 
    
 
    eps
    
 
    The stopping tolerance. 
@@ -232,23 +232,23 @@ 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 
@@ -267,8 +267,8 @@ Type: optional.
 Intent: in.
 
    
 Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES
 methods, otherwise it is ignored. 
 
@@ -298,7 +298,7 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a rank one array.
+Specified as:  a rank one array or an object of type vdatapsb_T_vect_type.
 
    
 
    iter
    
 
    The number of iterations performed.
@@ -328,8 +328,8 @@ Returned  as: a real number.
  SRC="img1.png"
  ALT="$A$">; only
   available with the $CG$ method.
 
    
 Scope: global 
diff --git a/docs/html/node119.html b/docs/html/node119.html
index b1919536..bfc2417a 100644
--- a/docs/html/node119.html
+++ b/docs/html/node119.html
@@ -63,7 +63,7 @@ Mathematics Department, Macquarie University, Sydney.
 The command line arguments were: 
    
  latex2html -local_icons -noaddress -dir ../../html userhtml.tex
 
    
-The translation was initiated by Salvatore Filippone on 2012-02-24
+The translation was initiated by Salvatore Filippone on 2012-03-01
 
    
 
 
diff --git a/docs/html/node12.html b/docs/html/node12.html
index 2c8f5469..32eab5c9 100644
--- a/docs/html/node12.html
+++ b/docs/html/node12.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node13.html b/docs/html/node13.html
index 92b4f110..3402b788 100644
--- a/docs/html/node13.html
+++ b/docs/html/node13.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node14.html b/docs/html/node14.html
index f7851f0b..89e00849 100644
--- a/docs/html/node14.html
+++ b/docs/html/node14.html
@@ -25,26 +25,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node15.html b/docs/html/node15.html
index d2114c6d..e2ee16b1 100644
--- a/docs/html/node15.html
+++ b/docs/html/node15.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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@@ -91,13 +91,13 @@ Scope: local.
 Subsections
 
 
 
diff --git a/docs/html/node16.html b/docs/html/node16.html
index 8eb32729..eae5495c 100644
--- a/docs/html/node16.html
+++ b/docs/html/node16.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node17.html b/docs/html/node17.html
index 46dfba63..b2995c8a 100644
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+++ b/docs/html/node17.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node18.html b/docs/html/node18.html
index d34af5ef..81221718 100644
--- a/docs/html/node18.html
+++ b/docs/html/node18.html
@@ -25,26 +25,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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- Up:  Up: get_context Get communication context
- Previous:  Previous: psb_cd_set_large_threshold   Set
-       Contents 
 
    
 
    
diff --git a/docs/html/node19.html b/docs/html/node19.html
index 1130a48b..ee32e5f9 100644
--- a/docs/html/node19.html
+++ b/docs/html/node19.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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@@ -85,7 +85,7 @@ 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
@@ -145,51 +145,51 @@ variants are obtained by conversion to/from it.
 Subsections
 
 
 
 
    
 
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diff --git a/docs/html/node20.html b/docs/html/node20.html
index 97335261..0011c939 100644
--- a/docs/html/node20.html
+++ b/docs/html/node20.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node21.html b/docs/html/node21.html
index 8351372e..de71e506 100644
--- a/docs/html/node21.html
+++ b/docs/html/node21.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node22.html b/docs/html/node22.html
index bbefbf9a..0d132dc8 100644
--- a/docs/html/node22.html
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@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node23.html b/docs/html/node23.html
index 8aff9f6c..b6da4a85 100644
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diff --git a/docs/html/node24.html b/docs/html/node24.html
index 065398ed..850bc087 100644
--- a/docs/html/node24.html
+++ b/docs/html/node24.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node25.html b/docs/html/node25.html
index 7fb161a5..2151abc4 100644
--- a/docs/html/node25.html
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@@ -28,26 +28,26 @@ of a sparse matrix">
 
 
 
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diff --git a/docs/html/node26.html b/docs/html/node26.html
index 27fd36d8..d592e6d8 100644
--- a/docs/html/node26.html
+++ b/docs/html/node26.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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- Previous:  Previous: sizeof   Get
-       Contents 
 
    
 
    
diff --git a/docs/html/node27.html b/docs/html/node27.html
index be2ad8d8..e918ba8d 100644
--- a/docs/html/node27.html
+++ b/docs/html/node27.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node28.html b/docs/html/node28.html
index b3fc272e..e3f027ce 100644
--- a/docs/html/node28.html
+++ b/docs/html/node28.html
@@ -25,26 +25,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
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- Up:  Up: Sparse Matrix class
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-       Contents 
 
    
 
    
diff --git a/docs/html/node29.html b/docs/html/node29.html
index 057cd719..0565834e 100644
--- a/docs/html/node29.html
+++ b/docs/html/node29.html
@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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@@ -57,7 +57,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 Dense Vector Data Structure
 
 The vdatapsb_T_vect_type data structure
-encapsulates the dense vectors in a way similar to sparse matrices. 
+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
 simple things, we define here an extraction method that can be used to
@@ -92,7 +93,7 @@ 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
@@ -118,41 +119,41 @@ private memory.
 Subsections
 
 
 
 
    
 
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diff --git a/docs/html/node3.html b/docs/html/node3.html
index b7347682..5c5fec1f 100644
--- a/docs/html/node3.html
+++ b/docs/html/node3.html
@@ -85,7 +85,7 @@ further details on our communication layer see Sec. 
+
    
 
@@ -145,7 +145,7 @@ process generates its own portion. We never require that the entire
 matrix be available on a single node. However, it is possible
 to hold the entire matrix in one process and distribute it
 explicitly1, even though  the resulting memory 
+  HREF="footnode.html#foot187">1, even though  the resulting memory 
 bottleneck would make this option unattractive in most  cases. 
 
 
    
diff --git a/docs/html/node30.html b/docs/html/node30.html
index f7d48c1d..7dbebefc 100644
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diff --git a/docs/html/node31.html b/docs/html/node31.html
index 1a11e620..b708cc1a 100644
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@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node32.html b/docs/html/node32.html
index 80043db9..61b7a9e0 100644
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@@ -26,26 +26,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node33.html b/docs/html/node33.html
index 8051c04b..2a905ce4 100644
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diff --git a/docs/html/node34.html b/docs/html/node34.html
index 7150a347..c6d784f9 100644
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@@ -25,26 +25,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
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diff --git a/docs/html/node35.html b/docs/html/node35.html
index 73e0556a..1701bbb5 100644
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@@ -18,7 +18,6 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
 
 
 
@@ -26,26 +25,26 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
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+ Up: Data Structures and Classes
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-       Contents 
 
    
 
    
@@ -64,15 +63,10 @@ factorization ILU(0).
 A preconditioner is held in the precdata    psb_prec_type data structure reported in 
 figure 6. The psb_prec_type 
 data type may contain a simple preconditioning matrix with the
-associated communication descriptor.The values contained in
-the iprcparm and rprcparm define tha type of
-preconditioner along with all the parameters related to it; thus,
-iprcparm and rprcparm define how the other records have
-to be interpreted. This data structure is the basis of more complex
-preconditioning strategies, which are the subject of further
-research. 
+associated communication descriptor.The internal preconditioner is allocated appropriately with the
+dynamic type corresponding to the desired preconditioner. 
 
-
    
+
    
 
    
 Figure 1:
 PSBLAS library components hierarchy.
    
diff --git a/docs/html/node36.html b/docs/html/node36.html
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@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
-Data structure Methods
-
+Computational routines
+
@@ -18,46 +18,78 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
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+
+
+
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- Up:Data Structures and Classes
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+ Up:userhtml
+ Previous:Preconditioner data structure
-       Contents

    
 
-
    
-
-
    
-Data structure Methods
-
    
+
    
+Computational routines
+
    
 
    
+
+Subsections
+
+
+
+
    
diff --git a/docs/html/node37.html b/docs/html/node37.html
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@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
-Computational routines
-
+psb_geaxpby -- General Dense Matrix Sum
+
@@ -18,76 +18,264 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
-
-
+
+
+
-
 next 
-
+
 up 
-
 previous 
-
 contents
    
- Next:psb_geaxpby   General
- Up:userhtml
- Previous:Data structure Methods
-      Next:psb_gedot   Dot
+ Up:Computational routines
+ Previous:Computational routines
+     Contents

    
 
-
    
-Computational routines
-
    
+
    
+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)
+
    
-
    
-
-Subsections
+
    
+
    
+
    
 Figure 6:
 The PSBLAS defined data type that contains a preconditioner.
 
 
 
 
 
 
 
 
   
       
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
   
        
 
 
 
 
 
    
+
+
+
    Table 1:
+Data types
    
+
    
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
    $x$, $y$, $\alpha$, $\beta$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.
+
+
    
+
    
+
    
+
+
    
+
    
+
    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. 
+
    
+
    
+
+
    
+
    
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
    
+ Next: psb_gedot   Dot
+ Up: Computational routines
+ Previous: Computational routines
+     Contents 
+
 
 
 
diff --git a/docs/html/node38.html b/docs/html/node38.html
index 5badba24..eebab146 100644
--- a/docs/html/node38.html
+++ b/docs/html/node38.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_geaxpby -- General Dense Matrix Sum
-
+psb_gedot -- Dot Product
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node39.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,80 +40,112 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_gedot   Dot
+  HREF="node39.html">psb_gedots   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: Computational routines
+  HREF="node37.html">psb_geaxpby   General
      Contents 
 
    
 
    
 
 
-
    
-psb_geaxpby -- General Dense Matrix Sum
+
    
+psb_gedot -- Dot Product
 
    
 
 
    
-This subroutine is an interface to the computational kernel for
-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:
 
    
 
    
 
 
 \begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}
+ WIDTH="76" HEIGHT="27" BORDER="0"
+ SRC="img30.png"
+ ALT="\begin{displaymath}dot \leftarrow x^H y\end{displaymath}">
 
    
 
    
-
     
+
    
 
 
    
 
    -call psb_geaxpby(alpha, x, beta, y, desc_a, info)
+psb_gedot(x, y, desc_a, info)
 
    
-
-
    
 
    
-
    
+
    
 
-
    Table 1:
+Table 2:
 Data types
 
    
 
    
 
-
+ ALT="$y$">
+
-
+
-
+
-
+
-
+
    
 
    $dot$, $x$, $y$, $\alpha$, $\beta$SubroutineFunction
 
    
 
    Short Precision Realpsb_geaxpbypsb_gedot
 
    
 
    Long Precision Realpsb_geaxpbypsb_gedot
 
    
 
    Short Precision Complexpsb_geaxpbypsb_gedot
 
    
 
    Long Precision Complexpsb_geaxpbypsb_gedot
 
    
 
    
 
    
@@ -130,24 +162,10 @@ 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
 $x$.
 
    
@@ -157,32 +175,18 @@ 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 psb_T_vect_type 
+containing numbers of type specified in
+Table 2. 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
+
    the local portion of global dense matrix
 local
 
    
 Type: required 
 
    
-Intent: inout.
+Intent: in.
 
    
-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 psb_T_vect_type 
+containing numbers of type specified in
+Table 2. The rank of $y$ must be the same of $x$. 
 
    
@@ -216,27 +221,21 @@ Specified as: an object of type descdatapsb_desc_type.
 
 
    
 
-
-
-
    
-
    
 
    On Return
    
 
    
 
    
-
    y
    
-
    the local portion of result submatrix Function value
+
    is the dot product of subvectors $x$ and $y$.
 
    
-Scope: local 
-
    
-Type: required 
-
    
-Intent: inout.
+Scope: global 
 
    
-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.
+Specified as: a number of the data type indicated in Table 2.
 
    
 
    info
    
 
    Error code.
@@ -258,7 +257,7 @@ An integer value; 0 means no error has been detected.
   HREF="node39.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -268,11 +267,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_gedot   Dot
+  HREF="node39.html">psb_gedots   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: Computational routines
+  HREF="node37.html">psb_geaxpby   General
      Contents 
 
diff --git a/docs/html/node39.html b/docs/html/node39.html
index 253aa56f..70415aa6 100644
--- a/docs/html/node39.html
+++ b/docs/html/node39.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_gedot -- Dot Product
-
+psb_gedots -- Generalized Dot Product
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node40.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,112 +40,97 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_gedots   Generalized
+  HREF="node40.html">psb_geamax   Infinity-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geaxpby   General
+  HREF="node38.html">psb_gedot   Dot
      Contents 
 
    
 
    
 
 
-
    
-psb_gedot -- Dot Product
+
    
+psb_gedots -- Generalized Dot Product
 
    
 
 
    
-This function computes dot product between two vectors $x$ and
-$y$.
-
    
-If $x$ and $y$ are real vectors
-it computes dot-product as:
+ ALT="$y$">: 
 
    
 
    
 
 
 \begin{displaymath}dot \leftarrow x^T y\end{displaymath}
+ WIDTH="150" HEIGHT="28" BORDER="0"
+ SRC="img32.png"
+ ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}">
 
    
 
    
 
    
-Else if $x$ is
+used. If $x$ and $y$ are complex vectors then it computes dot-product as:
-
    
-
    
-
-
-\begin{displaymath}dot \leftarrow x^H y\end{displaymath}
-
    
-
    
-
    
+ ALT="$y$"> are of rank one, then $res$ is a scalar, else it
+is a rank one array. 
 
 
    
 
    -psb_gedot(x, y, desc_a, info)
+call psb_gedots(res, x, y, desc_a, info)
 
    
 
    
-
    
+
    
 
-
    Table 2:
+Table 3:
 Data types
 
    
 
    
 
-
+
-
+
-
+
-
+
-
+
    
 
    $dot$, $res$, $x$, $y$FunctionSubroutine
 
    
 
    Short Precision Realpsb_gedotpsb_gedots
 
    
 
    Long Precision Realpsb_gedotpsb_gedots
 
    
 
    Short Precision Complexpsb_gedotpsb_gedots
 
    
 
    Long Precision Complexpsb_gedotpsb_gedots
 
    
 
    
 
    
@@ -165,9 +150,9 @@ Data types
 
    x
    
 
    the local portion of global dense matrix
 $x$.
+ ALT="$x$">. 
 
    
 Scope: local 
 
    
@@ -177,8 +162,8 @@ 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 2. The rank of 3. 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 2. The rank of 3. The rank of $y$ must be the same of $x$. 
 
    
@@ -218,15 +203,13 @@ Type: required
 Intent: in.
 
    
 Specified as: an object of type descdatapsb_desc_type.
-
-
    
 
 
    On Return
    
 
    
 
    
-
    Function value
    
+
    res
    
 
    is the dot product of subvectors $x$ and psb_desc_type.
 
    
 Scope: global 
 
    
-Specified as: a number of the data type indicated in Table 2.
+Intent: out.
+
    
+Specified as: a number or a rank-one array  of the data type indicated
+in Table 2. 
 
    
 
    info
    
 
    Error code.
@@ -257,7 +243,7 @@ An integer value; 0 means no error has been detected.
   HREF="node40.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -267,11 +253,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_gedots   Generalized
+  HREF="node40.html">psb_geamax   Infinity-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geaxpby   General
+  HREF="node38.html">psb_gedot   Dot
      Contents 
 
diff --git a/docs/html/node4.html b/docs/html/node4.html
index 633d40c0..a2c94033 100644
--- a/docs/html/node4.html
+++ b/docs/html/node4.html
@@ -112,7 +112,7 @@ on it. Whenever performing a computational step, such as a
 matrix-vector product, the values associated with halo points are
 requested from other domains. A boundary point of a given 
 domain is usually a halo point for some other domain2; therefore
+  HREF="footnode.html#foot196">2; therefore
 the cardinality of the boundary points set denotes the amount of data
  sent to other domains. 
 
    
@@ -135,7 +135,7 @@ subdomain  by $\cal I$, $\cal B$ and 
 
-
    
+
    
 
    
 Figure 2:
 Point classfication.
 
    
 
    
 \includegraphics[scale=0.65]{figures/points.eps}
 
 
 
-psb_gedots -- Generalized Dot Product
-
+psb_geamax -- Infinity-Norm of Vector
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node41.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,97 +40,107 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_geamax   Infinity-Norm
+  HREF="node41.html">psb_geamaxs   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_gedot   Dot
+  HREF="node39.html">psb_gedots   Generalized
      Contents 
 
    
 
    
 
 
-
    
-psb_gedots -- Generalized Dot Product
+
    
+psb_geamax -- Infinity-Norm of Vector
 
    
 
 
    
-This subroutine computes a series of  dot products among the columns of
-two dense matrices  $x$ and $y$: 
+ ALT="$x$">.
+
    
+If $x$ is a real  vector
+it computes infinity norm as:
 
    
 
    
 
 
 \begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}
+ WIDTH="119" HEIGHT="36" BORDER="0"
+ SRC="img34.png"
+ ALT="\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\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="$x$"> 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_gedots(res, x, y, desc_a, info)
+psb_geamax(x, desc_a, info)
 
    
+
+
    
 
    
-
    
+
    
 
-
    Table 3:
+Table 4:
 Data types
 
    
 
    
 
+
-
+ ALT="$x$">
+
-
+
+
-
+
+
-
-
+
+
+
-
-
+
+
+
    
 
    $res$, $amax$$x$, $y$SubroutineFunction
 
    
 
    Short Precision Realpsb_gedotsShort Precision Realpsb_geamax
 
    
 
    Long Precision Realpsb_gedotsLong Precision Realpsb_geamax
 
    Short Precision Complexpsb_gedots
    Short Precision RealShort Precision Complexpsb_geamax
 
    Long Precision Complexpsb_gedots
    Long Precision RealLong Precision Complexpsb_geamax
 
    
 
    
 
    
@@ -150,9 +160,10 @@ Data types
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
+
 
    
 Scope: local 
 
    
@@ -160,38 +171,9 @@ 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 $x$ 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 
+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 $x$. 
+Table 4.
 
    
 
    desc_a
    
 
    contains data structures for communications.
@@ -203,25 +185,21 @@ Type: required
 Intent: in.
 
    
 Specified as: an object of type descdatapsb_desc_type.
+
+
    
 
    
 
    On Return
    
 
    
 
    
-
    res
    
-
    is the dot product of subvectors Function value
+
    is the infinity norm of subvector $x$ and $y$.
+ ALT="$x$">.
 
    
 Scope: global 
 
    
-Intent: out.
-
    
-Specified as: a number or a rank-one array  of the data type indicated
-in Table 2. 
+Specified as: a long precision real number.
 
    
 
    info
    
 
    Error code.
@@ -243,7 +221,7 @@ An integer value; 0 means no error has been detected.
   HREF="node41.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -253,11 +231,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_geamax   Infinity-Norm
+  HREF="node41.html">psb_geamaxs   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_gedot   Dot
+  HREF="node39.html">psb_gedots   Generalized
      Contents 
 
diff --git a/docs/html/node41.html b/docs/html/node41.html
index 3e041fcd..a29c1193 100644
--- a/docs/html/node41.html
+++ b/docs/html/node41.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_geamax -- Infinity-Norm of Vector
-
+psb_geamaxs -- Generalized Infinity Norm
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node42.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,107 +40,82 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_geamaxs   Generalized
+  HREF="node42.html">psb_geasum   1-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_gedots   Generalized
+  HREF="node40.html">psb_geamax   Infinity-Norm
      Contents 
 
    
 
    
 
 
-
    
-psb_geamax -- Infinity-Norm of Vector
+
    
+psb_geamaxs -- Generalized Infinity Norm
 
    
 
 
    
-This function computes 
- the infinity-norm of a vector $x$.
-
    
-If $x$ is a real  vector
-it computes infinity norm as:
-
    
-
    
-
-
-\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:
+ ALT="$x$">: 
 
    
 
    
 
 
 \begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}
+ WIDTH="148" HEIGHT="36" BORDER="0"
+ SRC="img37.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
 
    
 
    
 
    
 
 
    
 
    -psb_geamax(x, desc_a, info)
+call psb_geamaxs(res, x, desc_a, info)
 
    
 
 
    
 
    
-
    
+
    
 
-
    Table 4:
+Table 5:
 Data types
 
    
 
    
 
+ WIDTH="27" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img33.png"
+ ALT="$res$">
-
+
-
+
-
+
-
+
-
+
    
 
    $amax$
 $x$FunctionSubroutine
 
    
 
    Short Precision Real
 Short Precision Realpsb_geamaxpsb_geamaxs
 
    
 
    Long Precision Real
 Long Precision Realpsb_geamaxpsb_geamaxs
 
    
 
    Short Precision Real
 Short Precision Complexpsb_geamaxpsb_geamaxs
 
    
 
    Long Precision Real
 Long Precision Complexpsb_geamaxpsb_geamaxs
 
    
 
    
 
    
@@ -160,10 +135,9 @@ Data types
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
-
 
    
 Scope: local 
 
    
@@ -171,9 +145,9 @@ 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 4.
+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 infinity norm of subvector 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.
@@ -221,7 +195,7 @@ An integer value; 0 means no error has been detected.
   HREF="node42.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -231,11 +205,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_geamaxs   Generalized
+  HREF="node42.html">psb_geasum   1-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_gedots   Generalized
+  HREF="node40.html">psb_geamax   Infinity-Norm
      Contents 
 
diff --git a/docs/html/node42.html b/docs/html/node42.html
index 12877aa0..5a1095c3 100644
--- a/docs/html/node42.html
+++ b/docs/html/node42.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_geamaxs -- Generalized Infinity Norm
-
+psb_geasum -- 1-Norm of Vector
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node43.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,82 +40,106 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_geasum   1-Norm
+  HREF="node43.html">psb_geasums   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geamax   Infinity-Norm
+  HREF="node41.html">psb_geamaxs   Generalized
      Contents 
 
    
 
    
 
 
-
    
-psb_geamaxs -- Generalized Infinity Norm
+
    
+psb_geasum -- 1-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 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:
 
    
 
    
 
 
 \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}
+ WIDTH="206" HEIGHT="28" BORDER="0"
+ SRC="img39.png"
+ ALT="\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
 
    
 
    
 
    
 
 
    
 
    -call psb_geamaxs(res, x, desc_a, info)
+psb_geasum(x, desc_a, info)
 
    
 
 
    
 
    
-
    
+
    
 
-
    Table 5:
+Table 6:
 Data types
 
    
 
    
 
+ WIDTH="43" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img40.png"
+ ALT="$asum$">
-
+
-
+
-
+
-
+
-
+
    
 
    $res$
 $x$SubroutineFunction
 
    
 
    Short Precision Real
 Short Precision Realpsb_geamaxspsb_geasum
 
    
 
    Long Precision Real
 Long Precision Realpsb_geamaxspsb_geasum
 
    
 
    Short Precision Real
 Short Precision Complexpsb_geamaxspsb_geasum
 
    
 
    Long Precision Real
 Long Precision Complexpsb_geamaxspsb_geasum
 
    
 
    
 
    
@@ -135,9 +159,10 @@ Data types
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
+
 
    
 Scope: local 
 
    
@@ -147,7 +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 5. 
+Table 6.
 
    
 
    desc_a
    
 
    contains data structures for communications.
@@ -159,21 +184,21 @@ 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 1-norm of vector $x$.
 
    
 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.
@@ -195,7 +220,7 @@ An integer value; 0 means no error has been detected.
   HREF="node43.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -205,11 +230,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_geasum   1-Norm
+  HREF="node43.html">psb_geasums   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geamax   Infinity-Norm
+  HREF="node41.html">psb_geamaxs   Generalized
      Contents 
 
diff --git a/docs/html/node43.html b/docs/html/node43.html
index 062aeea3..e2778665 100644
--- a/docs/html/node43.html
+++ b/docs/html/node43.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_geasum -- 1-Norm of Vector
-
+psb_geasums -- Generalized 1-Norm of Vector
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node44.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,106 +40,126 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_geasums   Generalized
+  HREF="node44.html">psb_genrm2   2-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geamaxs   Generalized
+  HREF="node42.html">psb_geasum   1-Norm
      Contents 
 
    
 
    
 
 
-
    
-psb_geasum -- 1-Norm of Vector
+
    
+psb_geasums -- Generalized 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}asum \leftarrow \Vert x_i\Vert\end{displaymath}
+ WIDTH="93" HEIGHT="28" BORDER="0"
+ SRC="img41.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}">
 
    
 
    
 
    
 else if $x$ is a complex vector then it computes 1-norm  as:
 
    
 
    
 
 
 \begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}
+ WIDTH="207" HEIGHT="28" BORDER="0"
+ SRC="img42.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
 
    
 
    
 
    
 
 
    
 
    -psb_geasum(x, desc_a, info)
+call psb_geasums(res, x, desc_a, info)
 
    
 
 
    
 
    
-
    
+
    
 
-
    Table 6:
+Table 7:
 Data types
 
    
 
    
 
+ WIDTH="27" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img33.png"
+ ALT="$res$">
-
+
-
+
-
+
-
+
-
+
    
 
    $asum$
 $x$FunctionSubroutine
 
    
 
    Short Precision Real
 Short Precision Realpsb_geasumpsb_geasums
 
    
 
    Long Precision Real
 Long Precision Realpsb_geasumpsb_geasums
 
    
 
    Short Precision Real
 Short Precision Complexpsb_geasumpsb_geasums
 
    
 
    Long Precision Real
 Long Precision Complexpsb_geasumpsb_geasums
 
    
 
    
 
    
@@ -159,7 +179,7 @@ Data types
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
 
@@ -172,7 +192,7 @@ 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 7.
 
    
 
    desc_a
    
 
    contains data structures for communications.
@@ -190,14 +210,17 @@ Specified as: an object of type descdatapsb_desc_type.
 
    On Return
    
 
    
 
    
-
    Function value
    
-
    is the 1-norm of vector res
+
    contains the 1-norm of (the columns of) $x$.
 
    
 Scope: global 
 
    
+Intent: out.
+
    
+Short as: a long precision real  number.
 Specified as: a long precision real  number.
 
    
 
    info
    
@@ -220,7 +243,7 @@ An integer value; 0 means no error has been detected.
   HREF="node44.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -230,11 +253,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_geasums   Generalized
+  HREF="node44.html">psb_genrm2   2-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geamaxs   Generalized
+  HREF="node42.html">psb_geasum   1-Norm
      Contents 
 
diff --git a/docs/html/node44.html b/docs/html/node44.html
index 0bd0d12c..8c035f6a 100644
--- a/docs/html/node44.html
+++ b/docs/html/node44.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_geasums -- Generalized 1-Norm of Vector
-
+psb_genrm2 -- 2-Norm of Vector
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node45.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,126 +40,101 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_genrm2   2-Norm
+  HREF="node45.html">psb_genrm2s   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geasum   1-Norm
+  HREF="node43.html">psb_geasums   Generalized
      Contents 
 
    
 
    
 
 
-
    
-psb_geasums -- Generalized 1-Norm of Vector
+
    
+psb_genrm2 -- 2-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 
-it computes 1-norm as:
+ ALT="$x$"> is a  real  vector
+it computes 2-norm as:
 
    
 
    
 
 
 \begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}
+ WIDTH="106" HEIGHT="24" BORDER="0"
+ SRC="img43.png"
+ ALT="\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}">
 
    
 
    
 
    
 else if $x$ is a complex vector then it computes 1-norm  as:
+ ALT="$x$"> is a complex vector then it computes 2-norm  as:
 
    
 
    
 
 
 \begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}
+ WIDTH="108" HEIGHT="24" BORDER="0"
+ SRC="img44.png"
+ ALT="\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}">
 
    
 
    
 
    
 
-
    
-
    -call psb_geasums(res, x, desc_a, info)
-
    
-
 
    
 
    
-
    
+
    
 
-
    Table 7:
+Table 8:
 Data types
 
    
 
    
 
+ WIDTH="44" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img45.png"
+ ALT="$nrm2$">
-
+
-
+
-
+
-
+
-
+
    
 
    $res$
 $x$SubroutineFunction
 
    
 
    Short Precision Real
 Short Precision Realpsb_geasumspsb_genrm2
 
    
 
    Long Precision Real
 Long Precision Realpsb_geasumspsb_genrm2
 
    
 
    Short Precision Real
 Short Precision Complexpsb_geasumspsb_genrm2
 
    
 
    Long Precision Real
 Long Precision Complexpsb_geasumspsb_genrm2
 
    
 
    
 
    
@@ -168,6 +143,11 @@ Data types
 
    
 
    
 
+
    
+
    +psb_genrm2(x, desc_a, info)
+
    
+
 
    
 
    
 
    Type:
    
@@ -179,10 +159,9 @@ Data types
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
-
+ ALT="$x$">.
 
    
 Scope: local 
 
    
@@ -190,9 +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 7.
+Table 8.
 
    
 
    desc_a
    
 
    contains data structures for communications.
@@ -210,18 +189,17 @@ 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 
 
    
-Short as: a long precision real  number.
-Specified as: a long precision real  number.
+Specified as: a long precision real number.
 
    
 
    info
    
 
    Error code.
@@ -243,7 +221,7 @@ An integer value; 0 means no error has been detected.
   HREF="node45.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -253,11 +231,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_genrm2   2-Norm
+  HREF="node45.html">psb_genrm2s   Generalized
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geasum   1-Norm
+  HREF="node43.html">psb_geasums   Generalized
      Contents 
 
diff --git a/docs/html/node45.html b/docs/html/node45.html
index 643a0688..7da37a3c 100644
--- a/docs/html/node45.html
+++ b/docs/html/node45.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_genrm2 -- 2-Norm of Vector
-
+psb_genrm2s -- Generalized 2-Norm of Vector
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node46.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -40,101 +40,82 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 contents  
 
    
  Next: psb_genrm2s   Generalized
+  HREF="node46.html">psb_spnrm1   1-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geasums   Generalized
+  HREF="node44.html">psb_genrm2   2-Norm
      Contents 
 
    
 
    
 
 
-
    
-psb_genrm2 -- 2-Norm of Vector
+
    
+psb_genrm2s -- Generalized 2-Norm of Vector
 
    
 
 
    
-This function computes the 2-norm of a vector $x$.
-
    
-If $x$ is a  real  vector
-it computes 2-norm as:
+ ALT="$x$">: 
 
    
 
    
 
 
 \begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}
+ WIDTH="125" HEIGHT="28" BORDER="0"
+ SRC="img46.png"
+ ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
 
    
 
    
 
    
-else if $x$ is a complex vector then it computes 2-norm  as:
-
    
-
    
-
 
-\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}
-
    
-
    
-
    
+
    
+
    +call psb_genrm2s(res, x, desc_a, info)
+
    
 
 
    
 
    
-
    
+
    
 
-
    Table 8:
+Table 9:
 Data types
 
    
 
    
 
+ WIDTH="27" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img33.png"
+ ALT="$res$">
-
+
-
+
-
+
-
+
-
+
    
 
    $nrm2$
 $x$FunctionSubroutine
 
    
 
    Short Precision Real
 Short Precision Realpsb_genrm2psb_genrm2s
 
    
 
    Long Precision Real
 Long Precision Realpsb_genrm2psb_genrm2s
 
    
 
    Short Precision Real
 Short Precision Complexpsb_genrm2psb_genrm2s
 
    
 
    Long Precision Real
 Long Precision Complexpsb_genrm2psb_genrm2s
 
    
 
    
 
    
@@ -143,11 +124,6 @@ Data types
 
    
 
    
 
-
    
-
    -psb_genrm2(x, desc_a, info)
-
    
-
 
    
 
    
 
    Type:
    
@@ -159,9 +135,10 @@ psb_genrm2(x, desc_a, info)
 
    x
    
 
    the local portion of global dense matrix
 $x$.
+ ALT="$x$">. 
+
 
    
 Scope: local 
 
    
@@ -169,9 +146,9 @@ 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 9.
 
    
 
    desc_a
    
 
    contains data structures for communications.
@@ -189,17 +166,17 @@ 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.
+Specified as: a long precision real  number.
 
    
 
    info
    
 
    Error code.
@@ -221,7 +198,7 @@ An integer value; 0 means no error has been detected.
   HREF="node46.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -231,11 +208,11 @@ An integer value; 0 means no error has been detected.
 contents  
 
    
  Next: psb_genrm2s   Generalized
+  HREF="node46.html">psb_spnrm1   1-Norm
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_geasums   Generalized
+  HREF="node44.html">psb_genrm2   2-Norm
      Contents 
 
diff --git a/docs/html/node46.html b/docs/html/node46.html
index 8d5ecbab..7a15ecb5 100644
--- a/docs/html/node46.html
+++ b/docs/html/node46.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_genrm2s -- Generalized 2-Norm of Vector
-
+psb_spnrm1 -- 1-Norm of Sparse Matrix
+
 
 
 
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node47.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -42,80 +42,80 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
  Next: psb_spnrmi   Infinity
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_genrm2   2-Norm
+  HREF="node45.html">psb_genrm2s   Generalized
      Contents 
 
    
 
    
 
 
-
    
-psb_genrm2s -- Generalized 2-Norm of Vector
+
    
+psb_spnrm1 -- 1-Norm of Sparse Matrix
 
    
 
 
    
-This subroutine computes a series of  2-norms on the columns of
-a  dense matrix  $x$: 
+This function computes the 1-norm of a matrix $A$:
+
    
+
    
 
    
 
    
 
 
 \begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}
+ WIDTH="98" HEIGHT="28" BORDER="0"
+ SRC="img47.png"
+ ALT="\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}">
 
    
 
    
 
    
-
-
    
-
    -call psb_genrm2s(res, x, desc_a, info)
-
    
+where:
+
    
+
    $A$
    
+
    represents the global matrix $A$
+
    
+
    
 
 
    
 
    
-
    
+
    
 
-
    Table 9:
+Table 10:
 Data types
 
    
 
    
 
-
-
+ WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img1.png"
+ ALT="$A$">
+
-
-
+
-
-
+
-
-
-
+
+
-
-
-
+
+
    
 
    $res$$x$SubroutineFunction
 
    
 
    Short Precision RealShort Precision Realpsb_genrm2spsb_spnrm1
 
    
 
    Long Precision RealLong Precision Realpsb_genrm2spsb_spnrm1
 
    Short Precision RealShort Precision Complexpsb_genrm2s
    Short Precision Complexpsb_spnrm1
 
    Long Precision RealLong Precision Complexpsb_genrm2s
    Long Precision Complexpsb_spnrm1
 
    
 
    
 
    
@@ -124,6 +124,11 @@ Data types
 
    
 
    
 
+
    
+
    +psb_spnrm1(A, desc_a, info)
+
    
+
 
    
 
    
 
    Type:
    
@@ -132,23 +137,20 @@ Data types
 
    On Entry
    
 
    
 
    
-
    x
    
-
    the local portion of global dense matrix
+
    a
    
+
    the local  portion of the global sparse matrix
 $x$. 
-
+ WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
+ SRC="img1.png"
+ ALT="$A$">. 
 
    
 Scope: local 
 
    
-Type: required 
+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 9.
+Specified as: an object of type spdatapsb_Tspmat_type.
 
    
 
    desc_a
    
 
    contains data structures for communications.
@@ -160,23 +162,19 @@ Type: required
 Intent: in.
 
    
 Specified as: an object of type descdatapsb_desc_type.
-
-
    
 
    
 
    On Return
    
 
    
 
    
-
    res
    
-
    contains the 1-norm of (the columns of) $x$.
+
    Function value
    
+
    is the 1-norm of sparse submatrix $A$.
 
    
 Scope: global 
 
    
-Intent: out.
-
    
-Specified as: a long precision real  number.
+Specified as: a long precision real number.
 
    
 
    info
    
 
    Error code.
@@ -198,7 +196,7 @@ An integer value; 0 means no error has been detected.
   HREF="node47.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -210,9 +208,9 @@ An integer value; 0 means no error has been detected.
  Next: psb_spnrmi   Infinity
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_genrm2   2-Norm
+  HREF="node45.html">psb_genrm2s   Generalized
      Contents 
 
diff --git a/docs/html/node47.html b/docs/html/node47.html
index eabc27ba..b5912740 100644
--- a/docs/html/node47.html
+++ b/docs/html/node47.html
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node48.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -42,16 +42,16 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
  Next: psb_spmm   Sparse
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_genrm2s   Generalized
+  HREF="node46.html">psb_spnrm1   1-Norm
      Contents 
 
    
 
    
 
 
-
    
+
    
 psb_spnrmi -- Infinity Norm of Sparse Matrix
 
    
 
@@ -71,8 +71,8 @@ nrmi \leftarrow \|A\|_\infty
  -->
 
 \begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}
 
 
    
@@ -92,9 +92,9 @@ where:
 
 
    
 
    
-
    
+
    
 
-
    Table 10:
+Table 11:
 Data types
 
    
 
    
@@ -196,7 +196,7 @@ An integer value; 0 means no error has been detected.
   HREF="node48.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -208,9 +208,9 @@ An integer value; 0 means no error has been detected.
  Next: psb_spmm   Sparse
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_genrm2s   Generalized
+  HREF="node46.html">psb_spnrm1   1-Norm
      Contents 
 
diff --git a/docs/html/node48.html b/docs/html/node48.html
index bf3aa9b0..e5030e50 100644
--- a/docs/html/node48.html
+++ b/docs/html/node48.html
@@ -20,7 +20,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -30,7 +30,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node49.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -42,7 +42,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
  Next: psb_spsm   Triangular
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_spnrmi   Infinity
      
 
 
-
    
+
    
 psb_spmm -- Sparse Matrix by Dense Matrix Product
 
    
 
@@ -69,8 +69,8 @@ y \leftarrow \alpha  A  x + \beta y
  -->
 
@@ -88,8 +88,8 @@ y \leftarrow \alpha  A^T x + \beta y
  -->
 
    
 
    \begin{displaymath}
 y \leftarrow \alpha A x + \beta y
 \end{displaymath}
    
@@ -108,7 +108,7 @@ y \leftarrow \alpha  A^H  x + \beta y
 
    
 
    \begin{displaymath}
 y \leftarrow \alpha A^T x + \beta y
 \end{displaymath}
    
@@ -121,12 +121,12 @@ y \leftarrow \alpha A^H x + \beta y
 where:
 
    
 
    $x$
    
 
    is the global dense matrix $x_{:, :}$
 
    
 
    $y$
    
 
    is the global dense matrix $y_{:, :}$
 
    
 
    
 
    
-
    
+
    
 
    
 
    \begin{displaymath}
 y \leftarrow \alpha A^H x + \beta y
 \end{displaymath}
    
-
    Table 11:
+Table 12:
 Data types
 
    
 
    
@@ -162,13 +162,13 @@ Data types
  WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
  SRC="img1.png"
  ALT="$A$">, $x$, $y$, $\alpha$, 
 
    alpha
    
 
    the scalar $\alpha$.
 
    
@@ -223,7 +223,7 @@ Type: required
 Intent: in.
 
    
 Specified as: a number of the data type indicated in
-Table 11. 
+Table 12. 
 
    
 
    a
    
 
    the local portion of the sparse matrix
@@ -243,7 +243,7 @@ Specified as: an object of type spdatapsb_Tspmat_type.
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
 
@@ -254,10 +254,10 @@ 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 11.  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 11.
+Specified as: a number of the data type indicated in Table 12.
 
    
 
    y
    
 
    the local portion of global dense matrix
@@ -292,13 +292,13 @@ Type: required
 
    
 Intent: inout.
 
    
-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 11. The rank of 12. The rank of $y$ must be the same of $x$. 
 
    
@@ -335,8 +335,8 @@ Type: optional
 Intent: in.
 
    
 Default: $trans = N$
 
    
 Specified as: a character variable.
@@ -353,7 +353,7 @@ Type: optional
 Intent: inout.
 
    
 Specified as: a rank one array of the same type of $x$ and inout.
 
    
 Specified as: an array of rank one or two
 containing numbers of type specified in
-Table 11.
+Table 12.
 
 
    info
    
 
    Error code.
@@ -402,7 +402,7 @@ An integer value; 0 means no error has been detected.
   HREF="node49.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -414,7 +414,7 @@ An integer value; 0 means no error has been detected.
  Next: psb_spsm   Triangular
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_spnrmi   Infinity
      
 
 
-
+
 
 
 
@@ -29,7 +29,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   HREF="node50.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -41,7 +41,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
  Next: Communication routines
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_spmm   Sparse
      
 
 
-
    
+
    
 psb_spsm -- Triangular System Solve
 
    
 
@@ -75,7 +75,7 @@ y &\leftarrow& \alpha  T^{-H}  D x + \beta y\\
  -->
 \begin{eqnarray*}
 y &\leftarrow& \alpha T^{-1} x + \beta y\\
 y &\leftarrow& \al...
@@ -88,12 +88,12 @@ y &\leftarrow& \alpha T^{-H} D x + \beta y\\
 where:
 <DL>
 <DT><STRONG><IMG
- WIDTH=
 
    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.
 
    
@@ -131,27 +131,27 @@ call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
 
 
    
 
    
-
    
+
    
 
-
    Table 12:
+Table 13:
 Data types
 
    
 
    
 
    
 
    $T$, $x$, $y$, $D$, $\alpha$, 
 
 
    alpha
    
 
    the scalar $\alpha$.
 
    
@@ -199,13 +199,13 @@ Type: required
 Intent: in.
 
    
 Specified as: a number of the data type indicated in
-Table 12.
+Table 13.
 
    
 
    t
    
 
    the global portion of the sparse matrix
 $T$.  
 
    
 Scope: local 
@@ -220,7 +220,7 @@ Specified as: an object type specified in
 
    x
    
 
    the local portion of global dense matrix
 $x$. 
 
@@ -231,10 +231,10 @@ 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 12.  The rank of 13.  The rank of $x$ must be the same of required
 
    
 Intent: in.
 
    
-Specified as: a number of the data type indicated in Table 12.
+Specified as: a number of the data type indicated in Table 13.
 
    
 
    y
    
 
    the local portion of global dense matrix
@@ -269,13 +269,13 @@ Type: required
 
    
 Intent: inout.
 
    
-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 12. The rank of 13. The rank of $y$ must be the same of $x$. 
 
    
@@ -310,8 +310,8 @@ Type: optional
 Intent: in.
 
    
 Default: $trans = N$
 
    
 Specified as: a character variable.
@@ -336,8 +336,8 @@ Type: optional
 Intent: in.
 
    
 Default: $unitd = U$
 
    
 Specified as: a character variable.
@@ -382,12 +382,12 @@ Default: 
 $diag(1) = 1 (no scaling)$
 
    
 Specified as: a rank one  array containing numbers of the type
-indicated in Table 12.
+indicated in Table 13.
 
 
    work
    
 
    a work array. 
@@ -399,7 +399,7 @@ Type: optional
 Intent: inout.
 
    
 Specified as: a rank one array of the same type of $x$ with the
 TARGET attribute. 
@@ -425,7 +425,7 @@ Intent: inout.
 
    
 Specified as: an array of rank one or two
 containing numbers of type specified in
-Table 12.
+Table 13.
 
    
 
    info
    
 
    Error code.
@@ -447,7 +447,7 @@ An integer value; 0 means no error has been detected.
   HREF="node50.html">
 next 
 
+  HREF="node36.html">
 up 
 
@@ -459,7 +459,7 @@ An integer value; 0 means no error has been detected.
  Next: Communication routines
  Up: Computational routines
+  HREF="node36.html">Computational routines
  Previous: psb_spmm   Sparse
      
 
 
-
+
 
 
 
diff --git a/docs/html/node51.html b/docs/html/node51.html
index b3bf8f64..9982990c 100644
--- a/docs/html/node51.html
+++ b/docs/html/node51.html
@@ -70,7 +70,7 @@ x \leftarrow \alpha x
 
 \begin{displaymath}x \leftarrow \alpha x \end{displaymath}
 
 
    
@@ -78,7 +78,7 @@ x \leftarrow \alpha x
 where:
 
    
 
    $x$
    
 
    is a global dense  submatrix.
@@ -87,18 +87,18 @@ where:
 
 
    
 
    
-
    
+
    
 
-
    Table 13:
+Table 14:
 Data types
 
    
 
    
 
@@ -141,7 +141,7 @@ call psb_halo(x, desc_a, info, alpha, work, data)
 
    x
    global dense matrix $x$.
 
    
@@ -151,9 +151,9 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as:  a rank one or two array with the TARGET attribute
+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.
+Table 14.
 
    desc_a
    contains data structures for communications.
@@ -168,7 +168,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
    alpha
    the scalar $\alpha$.
 
    
@@ -179,11 +179,11 @@ Type: optional
 Intent: in.
 
    
 Default: $alpha = 1 $
 
    
-Specified as: a number of the data type indicated in Table 13.
+Specified as: a number of the data type indicated in Table 14.
 
    work
    the work array. 
@@ -195,10 +195,9 @@ Type: optional
 Intent: inout.
 
    
 Specified as: a rank one array of the same type of $x$ with the
-POINTER attribute.
+ ALT="$x$">. 
 
    data
    index list selector.
@@ -218,7 +217,7 @@ index list on which to base the data exchange.
 
    x
    global dense result matrix $x$.
 
    
@@ -230,7 +229,7 @@ Intent: inout.
 
    
 Returned as:  a rank one or two array 
 containing numbers of type specified in
-Table 13.
+Table 14.
 
    info
    the local portion of result submatrix 
 
 
-
    
+
    
 
    
 
    $\alpha$, $x$
 Subroutine
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
@@ -256,7 +255,7 @@ Sample discretization mesh.
    
 \includegraphics[scale=0.45]{figures/try8x8.eps}
 
 
 \rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}}
 
 
    
@@ -279,7 +278,7 @@ 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
diff --git a/docs/html/node52.html b/docs/html/node52.html
index 095357e1..96e861dd 100644
--- a/docs/html/node52.html
+++ b/docs/html/node52.html
@@ -69,7 +69,7 @@ x \leftarrow Q x
 
 \begin{displaymath}x \leftarrow Q x \end{displaymath}
    
@@ -77,40 +77,40 @@ x \leftarrow Q x
 where:
 
    
 
    $x$
    
 
    is the global dense submatrix $x$
 
    
 
    $Q$
    
 
    is the overlap operator; it is the composition of two
 operators $ P_a$ and $ P_a$ and $ P^{T}$. 
 
    
 
    
 
    
-
    
+
    
 
    
 Figure 7:
 Sample discretization mesh.
 
 
 
 
 
    
-
    Table 14:
+Table 15:
 Data types
 
    
 
    
 
@@ -150,7 +150,7 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
 
    x
    global dense matrix $x$.
 
    
@@ -160,9 +160,9 @@ Type: required
 
    
 Intent: inout.
 
    
-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 
 containing numbers of type specified in
-Table 14.
+Table 15.
 
    desc_a
    contains data structures for communications.
@@ -183,14 +183,14 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
    update = psb_add_
    Sum overlap entries, i.e. apply $P^T$;
 
    update = psb_avg_
    Average overlap entries, i.e. apply $P_aP^T$;
 
    
@@ -203,7 +203,7 @@ Default: $update\_type = psb\_avg\_ $
    
 Scope: global 
@@ -220,7 +220,7 @@ Type: optional
 Intent: inout.
 
    
 Specified as: a one dimensional array of the same type of $x$.
 
@@ -231,7 +231,7 @@ Specified as: a one dimensional array of the same type of 
    x
    global dense result matrix $x$.
 
    
@@ -243,7 +243,7 @@ Intent: inout.
 
    
 Specified as: an  array of rank one or two
 containing numbers of type specified in
-Table 14.
+Table 15.
 
    info
    Error code.
@@ -266,19 +266,19 @@ An integer value; 0 means no error has been detected.
   the descriptor, no operations are performed;
 
 
  • The operator $ P^{T}$ performs the reduction sum of overlap
-elements; it is a ``prolongation'' 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;
 
    • 
 
  • 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
@@ -288,15 +288,15 @@ their instances.
 
 
    
 
-
    
+
    
 
    • 
 
    $x$
 Subroutine
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
    
@@ -320,7 +320,7 @@ 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
diff --git a/docs/html/node53.html b/docs/html/node53.html
index bb981c81..032704ed 100644
--- a/docs/html/node53.html
+++ b/docs/html/node53.html
@@ -71,7 +71,7 @@ glob\_x \leftarrow collect(loc\_x_i)
 
 \begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath}
    
@@ -79,20 +79,20 @@ glob\_x \leftarrow collect(loc\_x_i)
 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 $i$.
 
    
 
    $collect$
    
 
    is the collect function.
 
    
@@ -110,16 +110,16 @@ process 
 
    
-
    
+
    
 
    
 Figure 8:
 Sample discretization mesh.
 
    
 
    
 \includegraphics[scale=0.65]{figures/try8x8_ov.eps}
 
 
 \rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}}
 
 
    
 
 
    
-
    Table 15:
+Table 16:
 Data types
 
    
 
    
 
@@ -162,8 +162,8 @@ call psb_gather(glob_x, loc_x, desc_a, info, root)
 
    loc_x
    the local portion of global dense matrix
 $glob\_x$. 
 
    
 Scope: local 
@@ -172,8 +172,8 @@ Type: required
 
    
 Intent: in.
 
    
-Specified as: a rank one or two array containing numbers of the type
-indicated in Table 15.
+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.
@@ -188,8 +188,8 @@ 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.
 
    
@@ -203,11 +203,11 @@ Specified as: an integer variable 
 $-1\le root\le np-1$, default $-1\le root\le np-1$, default $-1$. 
 
    On Return
    
diff --git a/docs/html/node54.html b/docs/html/node54.html
index 5126c427..75e22f3d 100644
--- a/docs/html/node54.html
+++ b/docs/html/node54.html
@@ -68,8 +68,8 @@ loc\_x_i \leftarrow scatter(glob\_x)
  -->
 
 \begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath}
    
@@ -77,20 +77,20 @@ loc\_x_i \leftarrow scatter(glob\_x)
 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.
 
    
@@ -108,16 +108,16 @@ process 
 
    
-
    
+
    
 
    
 
    $x_i, y$
 Subroutine
 
    
 
 
 
 
 
 
 
 
    
-
    Table 16:
+Table 17:
 Data types
 
    
 
    
 
@@ -181,8 +181,8 @@ 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.
 
    
@@ -196,11 +196,11 @@ Specified as: an integer variable 
 $-1\le root\le np-1$, default $-1\le root\le np-1$, default $-1$. 
 
    On Return
    
@@ -209,8 +209,8 @@ Specified as: an integer variable $i\in \{1\dots mg\}$ is allocated
   to process $vg(i)$.
 
    
 Scope:global.
@@ -111,8 +111,8 @@ Specified as: an integer array.
 
    flag
    Specifies whether entries in $vg$ are zero- or one-based.
 
    
 Scope:global.
@@ -123,10 +123,10 @@ Intent: in.
 
    
 Specified as: an integer value $0,1$, default $0,1$, default $0$.
 
 
    
@@ -155,8 +155,8 @@ Specified as: a subroutine.
 
    vl
    Data allocation: the set of global indices 
   $vl(1:nl)$ belonging to the calling process. 
 
    
 Scope:local.
@@ -285,11 +285,11 @@ An integer value; 0 means no error has been detected.
  $0\le pv(i) < np$
  -->
 $0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple
     processes, i.e. we have an overlap among the subdomains.
   
@@ -303,24 +303,24 @@ An integer value; 0 means no error has been detected.
  $i \in \{1\dots mg\}$
  -->
 $i\in \{1\dots mg\}$ is assigned to process $i\in \{1\dots mg\}$ 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). 
@@ -329,8 +329,8 @@ An integer value; 0 means no error has been detected.
 
    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
@@ -338,8 +338,8 @@ An integer value; 0 means no error has been detected.
   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''
@@ -352,11 +352,11 @@ An integer value; 0 means no error has been detected.
 
    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. 
 
    
diff --git a/docs/html/node57.html b/docs/html/node57.html
index 26755012..194ec020 100644
--- a/docs/html/node57.html
+++ b/docs/html/node57.html
@@ -95,8 +95,8 @@ Type: required.
 Intent: in.
 
    
 Specified as: an integer array of length $nz$.
 
    ja
    
@@ -109,8 +109,8 @@ Type: required.
 Intent: in.
 
    
 Specified as: an integer array of length $nz$.
 
diff --git a/docs/html/node6.html b/docs/html/node6.html
index af78326b..eba51fff 100644
--- a/docs/html/node6.html
+++ b/docs/html/node6.html
@@ -62,7 +62,7 @@ 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
@@ -73,7 +73,7 @@ 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)
@@ -82,7 +82,7 @@ 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
@@ -107,7 +107,7 @@ 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
diff --git a/docs/html/node61.html b/docs/html/node61.html
index 5e66d933..a4be7ffa 100644
--- a/docs/html/node61.html
+++ b/docs/html/node61.html
@@ -103,8 +103,8 @@ Type:required.
 Intent: in.
 
    
 Specified as: an integer value $nl\ge 0$. 
 
 
    extype
    
diff --git a/docs/html/node62.html b/docs/html/node62.html
index b1d42575..81ce7b8c 100644
--- a/docs/html/node62.html
+++ b/docs/html/node62.html
@@ -130,8 +130,8 @@ An integer value; 0 means no error has been detected.
 
  • The descriptor may be in either the build or assembled state.
 
  • 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
diff --git a/docs/html/node63.html b/docs/html/node63.html
index c78ad2e4..c79f93fe 100644
--- a/docs/html/node63.html
+++ b/docs/html/node63.html
@@ -90,8 +90,8 @@ Type:required.
 Intent: in.
 
    
 Specified as: an integer array of size $nz$.
 
 
    ja
    
@@ -104,8 +104,8 @@ Type:required.
 Intent: in.
 
    
 Specified as: an integer array of size $nz$.
 
 
    val
    
@@ -118,12 +118,12 @@ Type:required.
 Intent: in.
 
    
 Specified as: an array of size $nz$. Must be of the same type and kind
 of the aspk component of the sparse matrix $a$.
 
 
    desc_a
    
diff --git a/docs/html/node67.html b/docs/html/node67.html
index 6783d0f5..9b038a3d 100644
--- a/docs/html/node67.html
+++ b/docs/html/node67.html
@@ -90,9 +90,9 @@ Intent: in.
 
    
 Specified as: Integer scalar, default $1$. It is not a valid argument  if $x$ is a
 rank-1 array. 
@@ -108,9 +108,9 @@ Intent: in.
 
    
 Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a
 rank-1 array. 
@@ -131,8 +131,8 @@ Type: required
 
    
 Intent: out.
 
    
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, 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.
@@ -148,7 +148,30 @@ An integer value; 0 means no error has been detected.
 
 
 
    
-
    
+
    
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
    
+ Next: psb_geins   Dense
+ Up: Data management routines
+ Previous: psb_sprn   Reinit
+     Contents 
+
 
 
 
diff --git a/docs/html/node68.html b/docs/html/node68.html
index a193b124..3d97c325 100644
--- a/docs/html/node68.html
+++ b/docs/html/node68.html
@@ -70,8 +70,8 @@ call psb_geins(m, irw, val, x, desc_a, info,dupl)
 
    
 
    m
    
 
    Number of rows in $val$ to be inserted.
 
    
 Scope:local.
@@ -88,12 +88,12 @@ Specified as: an integer value.
  SRC="img4.png"
  ALT="$i$">
   of $val$ will be inserted into the local row corresponding to the
   global row index $irw(i)$.
 Scope:local.
 
    
@@ -154,8 +154,8 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, 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.
diff --git a/docs/html/node69.html b/docs/html/node69.html
index 3a3ec72f..ea94b150 100644
--- a/docs/html/node69.html
+++ b/docs/html/node69.html
@@ -57,7 +57,7 @@ psb_geasb -- Assembly a dense matrix
 
 
    
 
    -call psb_geasb(x, desc_a, info)
+call psb_geasb(x, desc_a, info, mold)
 
    
 
 
    
@@ -79,6 +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.
+
    
 
 
 
    
@@ -95,8 +110,8 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, of type real, complex or integer.
+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.
diff --git a/docs/html/node7.html b/docs/html/node7.html
index f85e6b2f..102b65ec 100644
--- a/docs/html/node7.html
+++ b/docs/html/node7.html
@@ -72,7 +72,7 @@ the tools routines.
 
    
 However there are many cases where no synchronization, and indeed no
 communication among processes, is implied; for instance, all the routines in
-sec. 3.5 are only acting on the local data structures,
+sec. [*] are only acting on the local data structures,
 and thus may be called independently. The most important case is that
 of the coefficient insertion routines: since the number of
 coefficients in the sparse and dense matrices varies among the
diff --git a/docs/html/node70.html b/docs/html/node70.html
index 740b2e35..381d256c 100644
--- a/docs/html/node70.html
+++ b/docs/html/node70.html
@@ -78,8 +78,8 @@ Type: required
 
    
 Intent: inout.
 
    
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, of type real, complex or integer.
+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.
 
    
 
    
 
    
diff --git a/docs/html/node71.html b/docs/html/node71.html
index a2984d2f..4bf66ee1 100644
--- a/docs/html/node71.html
+++ b/docs/html/node71.html
@@ -75,7 +75,7 @@ call psb_gelp(trans, iperm, x, info)
  SRC="img1.png"
  ALT="$A$"> or $A^T$.
 
    
 Scope: local 
@@ -89,7 +89,7 @@ Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$.
 
    
 
    iperm
    
diff --git a/docs/html/node72.html b/docs/html/node72.html
index 13e6dc5d..3f9826ce 100644
--- a/docs/html/node72.html
+++ b/docs/html/node72.html
@@ -128,7 +128,7 @@ accepted. Default: false.
  SRC="img26.png"
  ALT="$y$"> is not present,
   then $x$ is overwritten with the translated integer indices. 
 Scope: global 
@@ -148,7 +148,7 @@ Specified as: a rank one integer array.
  WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
  SRC="img26.png"
  ALT="$y$"> is overwritten with the translated integer indices, and $x$
   is left unchanged. 
diff --git a/docs/html/node73.html b/docs/html/node73.html
index 40f0ad5f..35b0ce6e 100644
--- a/docs/html/node73.html
+++ b/docs/html/node73.html
@@ -116,7 +116,7 @@ Specified as: a character variable  Ignore, Warning or
  SRC="img26.png"
  ALT="$y$"> is not present,
   then $x$ is overwritten with the translated integer indices. 
 Scope: global 
@@ -136,7 +136,7 @@ Specified as: a rank one integer array.
  WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
  SRC="img26.png"
  ALT="$y$"> is overwritten with the translated integer indices, and $x$
   is left unchanged. 
diff --git a/docs/html/node74.html b/docs/html/node74.html
index d25641fd..eba71b11 100644
--- a/docs/html/node74.html
+++ b/docs/html/node74.html
@@ -100,7 +100,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
    Function value
    
 
    A logical mask which is true if 
   $x$ is  owned by the current process
 Scope: local 
diff --git a/docs/html/node75.html b/docs/html/node75.html
index 16e56ca5..b36d152f 100644
--- a/docs/html/node75.html
+++ b/docs/html/node75.html
@@ -111,7 +111,7 @@ Specified as: a character variable  Ignore, Warning or
 
    y
    
 
    A logical mask which is true for all corresponding entries of
   $x$ that are owned by the current process
 Scope: local 
diff --git a/docs/html/node76.html b/docs/html/node76.html
index e27dc8cc..1920a1a3 100644
--- a/docs/html/node76.html
+++ b/docs/html/node76.html
@@ -100,7 +100,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
 
    Function value
    
 
    A logical mask which is true if 
   $x$ is  local to the current process
 Scope: local 
diff --git a/docs/html/node77.html b/docs/html/node77.html
index 65d02b3c..71a6ab70 100644
--- a/docs/html/node77.html
+++ b/docs/html/node77.html
@@ -111,7 +111,7 @@ Specified as: a character variable  Ignore, Warning or
 
    y
    
 
    A logical mask which is true for all corresponding entries of
   $x$ that are local to  the current process
 Scope: local 
diff --git a/docs/html/node8.html b/docs/html/node8.html
index 01bcfe04..0bf20630 100644
--- a/docs/html/node8.html
+++ b/docs/html/node8.html
@@ -18,7 +18,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
@@ -186,8 +186,6 @@ of  a dense vector matrix
 
    
 
  • Preconditioner data structure
-
  • Data structure Methods
 
 
 
    
diff --git a/docs/html/node80.html b/docs/html/node80.html
index d8dd0999..a598ead8 100644
--- a/docs/html/node80.html
+++ b/docs/html/node80.html
@@ -79,8 +79,8 @@ Type:required
 Intent: in.
 
    
 Specified as: an integer $>0$.
 
    • 
 
    a
    
@@ -115,8 +115,8 @@ Type:optional
 Intent: in.
 
    
 Specified as: an integer $>0$. When append is true, specifies how many
 entries in the output vectors are already filled. 
 
@@ -130,11 +130,11 @@ Type:optional
 Intent: in.
 
    
 Specified as: an integer $>0$, default: $>0$, default: $row$.
 
 
    
@@ -208,13 +208,13 @@ An integer value; 0 means no error has been detected.
 
 
      
 
    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. 
diff --git a/docs/html/node82.html b/docs/html/node82.html
index e05399dd..62609160 100644
--- a/docs/html/node82.html
+++ b/docs/html/node82.html
@@ -72,8 +72,8 @@ 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
@@ -98,8 +98,8 @@ Specified as: an integer, real or complex  array of rank 1.
 Type:optional.
 
      
 Specified as: an integer array of (at least) the same size as $X$.
 
 
      dir
      
@@ -122,8 +122,8 @@ default psb_lsort_up_.
 
 
      flag
      
 
      Whether to keep the original values in $IX$.
 
      
 Type:optional.
@@ -154,7 +154,7 @@ Type: Optional
 
      
 An integer array of rank 1, whose entries are moved to the same
 position as the corresponding entries in $x$.
 
      
@@ -184,36 +184,36 @@ position as the corresponding entries in 
 $flag = psb\_sort\_ovw\_idx\_$ then the entries in $flag = psb\_sort\_ovw\_idx\_$ 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;
 
@@ -221,25 +221,25 @@ i$">; thus, upon return from the subroutine, for each
  $flag = psb\_sort\_keep\_idx\_$
  -->
 $flag = psb\_sort\_keep\_idx\_$ the routine will assume that
   the entries in $ix(:)$ have already been initialized by the user;
 
 
    2. 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;
@@ -247,14 +247,14 @@ i$">; thus, upon return from the subroutine, for each
 
      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 often the preferred  choice when a sorting is needed
+  merge-sort is the preferred  choice when a sorting is needed
   by other routines in the library. 
 
        4. 
 
      
diff --git a/docs/html/node84.html b/docs/html/node84.html
index fe5a1c54..8a894345 100644
--- a/docs/html/node84.html
+++ b/docs/html/node84.html
@@ -106,8 +106,8 @@ Type: optional.
 Intent: in.
 
      
 Specified as: an integer array.  Default: use the indices $(0\dots np-1)$.  
 
 
@@ -140,8 +140,8 @@ Specified as: an integer variable.
 
    3. A call to this routine must precede any other PSBLAS call. 
 
      4. 
 
    4. It is an error to specify a value for $np$ greater than the
   number of processes available in the underlying base parallel
   environment. 
diff --git a/docs/html/node85.html b/docs/html/node85.html
index f9124dbb..ccb52670 100644
--- a/docs/html/node85.html
+++ b/docs/html/node85.html
@@ -103,8 +103,8 @@ Specified as: an integer value. 
 $-1 \le iam \le np-1$ 
 
      np
      
 
      Number of processes in the PSBLAS virtual parallel machine.
@@ -127,15 +127,15 @@ Specified as: an integer variable.  
      
  $0 \le iam \le np-1$
  -->
 $0 \le iam \le np-1$;
 
      5. 
 
    5. 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. 
diff --git a/docs/html/node86.html b/docs/html/node86.html
index b538e1f8..f91933fa 100644
--- a/docs/html/node86.html
+++ b/docs/html/node86.html
@@ -102,8 +102,8 @@ Specified as: a logical  variable, default value: true.
 
        
 
      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.
diff --git a/docs/html/node88.html b/docs/html/node88.html
index 432de86a..541a72c7 100644
--- a/docs/html/node88.html
+++ b/docs/html/node88.html
@@ -62,8 +62,8 @@ call psb_get_rank(rank, icontxt, id)
 
 
        
 This subroutine returns the MPI rank of the  PSBLAS process $id$
 
        
 
        Type:
        
@@ -97,8 +97,8 @@ Specified as: an integer value. 
 $0 \le id \le np-1$ 
 
        
 
@@ -109,8 +109,8 @@ Specified as: an integer value. 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
        
- Next:  Next: Methods
- Up:  Up: Data Structures and Classes
- Previous:  Previous: Data Structures and Classes
-       Contents 
 
        
 
        
@@ -65,8 +65,8 @@ 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 and 3.5;
+opaque object handled via the   tools routines of
+Sec. 6 or the query routines detailed below;
 nevertheless we include here a  description for the curious 
 reader. 
 
@@ -202,7 +202,7 @@ Specified as: an allocatable integer array of rank two.
 The Fortran 2003 declaration  for psb_desc_type structures is 
 as follows:
 
-
        
+
        
 
    • 
 
    $x_i, y$
 Subroutine
 
    
 
 
 
 
 
 
 
 
 
 
    
 Figure 3:
 The PSBLAS defined data type that
@@ -244,40 +244,40 @@ state, which can take the following values:
 Subsections
 
 
 
 
    
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
    
- Next:  Next: Methods
- Up:  Up: Data Structures and Classes
- Previous:  Previous: Data Structures and Classes
-       Contents 
 
 
diff --git a/docs/html/node92.html b/docs/html/node92.html
index 0d41af6a..efe0b2c3 100644
--- a/docs/html/node92.html
+++ b/docs/html/node92.html
@@ -108,8 +108,8 @@ Specified as: an integer value 
 $0<= root <= np-1$, default 0  
 
 
diff --git a/docs/html/node93.html b/docs/html/node93.html
index a3559080..14fb5a6c 100644
--- a/docs/html/node93.html
+++ b/docs/html/node93.html
@@ -96,8 +96,8 @@ scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all pro
 
 
    root
    
 
    Process to hold the final sum, or $-1$ to make it available
   on all processes.
 
    
@@ -111,8 +111,8 @@ Specified as: an integer value 
 $-1<= root <= np-1$, default -1.  
    
 
 
diff --git a/docs/html/node94.html b/docs/html/node94.html
index 705acf2d..ceb94ddb 100644
--- a/docs/html/node94.html
+++ b/docs/html/node94.html
@@ -96,8 +96,8 @@ scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all pro
 
 
    root
    
 
    Process to hold the final maximum, or $-1$ to make it available
   on all processes.
 
    
@@ -111,8 +111,8 @@ Specified as: an integer value 
 $-1<= root <= np-1$, default -1. 
 
    
 
diff --git a/docs/html/node95.html b/docs/html/node95.html
index 7e22f26e..c47442c5 100644
--- a/docs/html/node95.html
+++ b/docs/html/node95.html
@@ -96,8 +96,8 @@ scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all pro
 
 
    root
    
 
    Process to hold the final value, or $-1$ to make it available
   on all processes.
 
    
@@ -111,8 +111,8 @@ Specified as: an integer value 
 $-1<= root <= np-1$, default -1. 
 
    
 
diff --git a/docs/html/node96.html b/docs/html/node96.html
index 52798cad..0e499511 100644
--- a/docs/html/node96.html
+++ b/docs/html/node96.html
@@ -96,8 +96,8 @@ scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all pro
 
 
    root
    
 
    Process to hold the final value, or $-1$ to make it available
   on all processes.
 
    
@@ -111,8 +111,8 @@ Specified as: an integer value 
 $-1<= root <= np-1$, default -1. 
 
    
 
diff --git a/docs/html/node97.html b/docs/html/node97.html
index 4e7e5bd2..49aed441 100644
--- a/docs/html/node97.html
+++ b/docs/html/node97.html
@@ -96,8 +96,8 @@ scalar, or a rank 1 or 2 array.  Type, kind, rank and size must agree on all pro
 
 
    root
    
 
    Process to hold the final value, or $-1$ to make it available
   on all processes.
 
    
@@ -111,8 +111,8 @@ Specified as: an integer value 
 $-1<= root <= np-1$, default -1. 
 
    
 
diff --git a/docs/html/node98.html b/docs/html/node98.html
index d84a735b..3d3f3021 100644
--- a/docs/html/node98.html
+++ b/docs/html/node98.html
@@ -92,8 +92,8 @@ 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. 
 
@@ -110,8 +110,8 @@ Specified as: an integer value 
 $0<= dst <= np-1$. 
 
    
 
    m
    
@@ -127,17 +127,17 @@ 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.
 
@@ -156,8 +156,8 @@ same value on sending and receiving processes.
 
      
 
    1. This subroutine implies a synchronization, but only between the
   calling process and the destination  process $dst$.
 
      2. 
 
    
diff --git a/docs/html/node99.html b/docs/html/node99.html
index afbe6b6d..65072b55 100644
--- a/docs/html/node99.html
+++ b/docs/html/node99.html
@@ -93,8 +93,8 @@ Specified as: an integer value 
 $0<= src <= np-1$. 
 
    
 
    m
    
@@ -110,17 +110,17 @@ 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.
 
@@ -142,8 +142,8 @@ 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. 
 
@@ -155,8 +155,8 @@ not specified, size must agree as well.
 
      
 
    1. This subroutine implies a synchronization, but only between the
   calling process and the source  process $src$.
 
      2. 
 
    
diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html
index adcb8b18..9cab64e3 100644
--- a/docs/html/userhtml.html
+++ b/docs/html/userhtml.html
@@ -23,18 +23,18 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
 next 
 up 
 previous 
-
 contents  
 
    
- Next:  Next: Contents
-       Contents 
 
    
 
    
@@ -65,309 +65,309 @@ December 15th, 2011
 
 
 
 
diff --git a/docs/psblas-3.0.pdf b/docs/psblas-3.0.pdf
index cc27da33..6b9b6d5a 100644
--- a/docs/psblas-3.0.pdf
+++ b/docs/psblas-3.0.pdf
@@ -205,85 +205,85 @@ endobj
 (3.4 Preconditioner data structure)
 endobj
 141 0 obj
-<< /S /GoTo /D (subsection.3.5) >>
+<< /S /GoTo /D (section.4) >>
 endobj
 144 0 obj
-(3.5 Data structure Methods)
+(4 Computational routines)
 endobj
 145 0 obj
-<< /S /GoTo /D (section.4) >>
+<< /S /GoTo /D (section*.20) >>
 endobj
 148 0 obj
-(4 Computational routines)
+(psb\137geaxpby)
 endobj
 149 0 obj
-<< /S /GoTo /D (section*.20) >>
+<< /S /GoTo /D (section*.21) >>
 endobj
 152 0 obj
-(psb\137geaxpby)
+(psb\137gedot)
 endobj
 153 0 obj
-<< /S /GoTo /D (section*.21) >>
+<< /S /GoTo /D (section*.22) >>
 endobj
 156 0 obj
-(psb\137gedot)
+(psb\137gedots)
 endobj
 157 0 obj
-<< /S /GoTo /D (section*.22) >>
+<< /S /GoTo /D (section*.23) >>
 endobj
 160 0 obj
-(psb\137gedots)
+(psb\137geamax)
 endobj
 161 0 obj
-<< /S /GoTo /D (section*.23) >>
+<< /S /GoTo /D (section*.24) >>
 endobj
 164 0 obj
-(psb\137geamax)
+(psb\137geamaxs)
 endobj
 165 0 obj
-<< /S /GoTo /D (section*.24) >>
+<< /S /GoTo /D (section*.25) >>
 endobj
 168 0 obj
-(psb\137geamaxs)
+(psb\137geasum)
 endobj
 169 0 obj
-<< /S /GoTo /D (section*.25) >>
+<< /S /GoTo /D (section*.26) >>
 endobj
 172 0 obj
-(psb\137geasum)
+(psb\137geasums)
 endobj
 173 0 obj
-<< /S /GoTo /D (section*.26) >>
+<< /S /GoTo /D (section*.27) >>
 endobj
 176 0 obj
 (psb\137geasums)
 endobj
 177 0 obj
-<< /S /GoTo /D (section*.27) >>
+<< /S /GoTo /D (section*.28) >>
 endobj
 180 0 obj
-(psb\137geasums)
+(psb\137genrm2s)
 endobj
 181 0 obj
-<< /S /GoTo /D (section*.28) >>
+<< /S /GoTo /D (section*.29) >>
 endobj
 184 0 obj
-(psb\137genrm2s)
+(psb\137spnrm1)
 endobj
 185 0 obj
-<< /S /GoTo /D (section*.29) >>
+<< /S /GoTo /D (section*.30) >>
 endobj
 188 0 obj
 (psb\137spnrmi)
 endobj
 189 0 obj
-<< /S /GoTo /D (section*.30) >>
+<< /S /GoTo /D (section*.31) >>
 endobj
 192 0 obj
 (psb\137spmm)
 endobj
 193 0 obj
-<< /S /GoTo /D (section*.31) >>
+<< /S /GoTo /D (section*.32) >>
 endobj
 196 0 obj
 (psb\137spsm)
@@ -295,25 +295,25 @@ endobj
 (5 Communication routines)
 endobj
 201 0 obj
-<< /S /GoTo /D (section*.32) >>
+<< /S /GoTo /D (section*.33) >>
 endobj
 204 0 obj
 (psb\137halo)
 endobj
 205 0 obj
-<< /S /GoTo /D (section*.33) >>
+<< /S /GoTo /D (section*.34) >>
 endobj
 208 0 obj
 (psb\137ovrl)
 endobj
 209 0 obj
-<< /S /GoTo /D (section*.34) >>
+<< /S /GoTo /D (section*.35) >>
 endobj
 212 0 obj
 (psb\137gather)
 endobj
 213 0 obj
-<< /S /GoTo /D (section*.35) >>
+<< /S /GoTo /D (section*.36) >>
 endobj
 216 0 obj
 (psb\137scatter)
@@ -325,163 +325,163 @@ endobj
 (6 Data management routines)
 endobj
 221 0 obj
-<< /S /GoTo /D (section*.36) >>
+<< /S /GoTo /D (section*.37) >>
 endobj
 224 0 obj
 (psb\137cdall)
 endobj
 225 0 obj
-<< /S /GoTo /D (section*.37) >>
+<< /S /GoTo /D (section*.38) >>
 endobj
 228 0 obj
 (psb\137cdins)
 endobj
 229 0 obj
-<< /S /GoTo /D (section*.38) >>
+<< /S /GoTo /D (section*.39) >>
 endobj
 232 0 obj
 (psb\137cdasb)
 endobj
 233 0 obj
-<< /S /GoTo /D (section*.39) >>
+<< /S /GoTo /D (section*.40) >>
 endobj
 236 0 obj
 (psb\137cdcpy)
 endobj
 237 0 obj
-<< /S /GoTo /D (section*.40) >>
+<< /S /GoTo /D (section*.41) >>
 endobj
 240 0 obj
 (psb\137cdfree)
 endobj
 241 0 obj
-<< /S /GoTo /D (section*.41) >>
+<< /S /GoTo /D (section*.42) >>
 endobj
 244 0 obj
 (psb\137cdbldext)
 endobj
 245 0 obj
-<< /S /GoTo /D (section*.42) >>
+<< /S /GoTo /D (section*.43) >>
 endobj
 248 0 obj
 (psb\137spall)
 endobj
 249 0 obj
-<< /S /GoTo /D (section*.43) >>
+<< /S /GoTo /D (section*.44) >>
 endobj
 252 0 obj
 (psb\137spins)
 endobj
 253 0 obj
-<< /S /GoTo /D (section*.44) >>
+<< /S /GoTo /D (section*.45) >>
 endobj
 256 0 obj
 (psb\137spasb)
 endobj
 257 0 obj
-<< /S /GoTo /D (section*.45) >>
+<< /S /GoTo /D (section*.46) >>
 endobj
 260 0 obj
 (psb\137spfree)
 endobj
 261 0 obj
-<< /S /GoTo /D (section*.46) >>
+<< /S /GoTo /D (section*.47) >>
 endobj
 264 0 obj
 (psb\137sprn)
 endobj
 265 0 obj
-<< /S /GoTo /D (section*.47) >>
+<< /S /GoTo /D (section*.48) >>
 endobj
 268 0 obj
 (psb\137geall)
 endobj
 269 0 obj
-<< /S /GoTo /D (section*.48) >>
+<< /S /GoTo /D (section*.49) >>
 endobj
 272 0 obj
 (psb\137geins)
 endobj
 273 0 obj
-<< /S /GoTo /D (section*.49) >>
+<< /S /GoTo /D (section*.50) >>
 endobj
 276 0 obj
 (psb\137geasb)
 endobj
 277 0 obj
-<< /S /GoTo /D (section*.50) >>
+<< /S /GoTo /D (section*.51) >>
 endobj
 280 0 obj
 (psb\137gefree)
 endobj
 281 0 obj
-<< /S /GoTo /D (section*.51) >>
+<< /S /GoTo /D (section*.52) >>
 endobj
 284 0 obj
 (psb\137gelp)
 endobj
 285 0 obj
-<< /S /GoTo /D (section*.52) >>
+<< /S /GoTo /D (section*.53) >>
 endobj
 288 0 obj
 (psb\137glob\137to\137loc)
 endobj
 289 0 obj
-<< /S /GoTo /D (section*.53) >>
+<< /S /GoTo /D (section*.54) >>
 endobj
 292 0 obj
 (psb\137loc\137to\137glob)
 endobj
 293 0 obj
-<< /S /GoTo /D (section*.54) >>
+<< /S /GoTo /D (section*.55) >>
 endobj
 296 0 obj
 (psb\137is\137owned)
 endobj
 297 0 obj
-<< /S /GoTo /D (section*.55) >>
+<< /S /GoTo /D (section*.56) >>
 endobj
 300 0 obj
 (psb\137owned\137index)
 endobj
 301 0 obj
-<< /S /GoTo /D (section*.56) >>
+<< /S /GoTo /D (section*.57) >>
 endobj
 304 0 obj
 (psb\137is\137local)
 endobj
 305 0 obj
-<< /S /GoTo /D (section*.57) >>
+<< /S /GoTo /D (section*.58) >>
 endobj
 308 0 obj
 (psb\137local\137index)
 endobj
 309 0 obj
-<< /S /GoTo /D (section*.58) >>
+<< /S /GoTo /D (section*.59) >>
 endobj
 312 0 obj
 (psb\137get\137boundary)
 endobj
 313 0 obj
-<< /S /GoTo /D (section*.59) >>
+<< /S /GoTo /D (section*.60) >>
 endobj
 316 0 obj
 (psb\137get\137overlap)
 endobj
 317 0 obj
-<< /S /GoTo /D (section*.60) >>
+<< /S /GoTo /D (section*.61) >>
 endobj
 320 0 obj
 (psb\137sp\137getrow)
 endobj
 321 0 obj
-<< /S /GoTo /D (section*.61) >>
+<< /S /GoTo /D (section*.62) >>
 endobj
 324 0 obj
 (psb\137sizeof)
 endobj
 325 0 obj
-<< /S /GoTo /D (section*.62) >>
+<< /S /GoTo /D (section*.63) >>
 endobj
 328 0 obj
 (Sorting utilities)
@@ -493,97 +493,97 @@ endobj
 (7 Parallel environment routines)
 endobj
 333 0 obj
-<< /S /GoTo /D (section*.63) >>
+<< /S /GoTo /D (section*.64) >>
 endobj
 336 0 obj
 (psb\137init)
 endobj
 337 0 obj
-<< /S /GoTo /D (section*.64) >>
+<< /S /GoTo /D (section*.65) >>
 endobj
 340 0 obj
 (psb\137info)
 endobj
 341 0 obj
-<< /S /GoTo /D (section*.65) >>
+<< /S /GoTo /D (section*.66) >>
 endobj
 344 0 obj
 (psb\137exit)
 endobj
 345 0 obj
-<< /S /GoTo /D (section*.66) >>
+<< /S /GoTo /D (section*.67) >>
 endobj
 348 0 obj
 (psb\137get\137mpicomm)
 endobj
 349 0 obj
-<< /S /GoTo /D (section*.67) >>
+<< /S /GoTo /D (section*.68) >>
 endobj
 352 0 obj
 (psb\137get\137rank)
 endobj
 353 0 obj
-<< /S /GoTo /D (section*.68) >>
+<< /S /GoTo /D (section*.69) >>
 endobj
 356 0 obj
 (psb\137wtime)
 endobj
 357 0 obj
-<< /S /GoTo /D (section*.69) >>
+<< /S /GoTo /D (section*.70) >>
 endobj
 360 0 obj
 (psb\137barrier)
 endobj
 361 0 obj
-<< /S /GoTo /D (section*.70) >>
+<< /S /GoTo /D (section*.71) >>
 endobj
 364 0 obj
 (psb\137abort)
 endobj
 365 0 obj
-<< /S /GoTo /D (section*.71) >>
+<< /S /GoTo /D (section*.72) >>
 endobj
 368 0 obj
 (psb\137bcast)
 endobj
 369 0 obj
-<< /S /GoTo /D (section*.72) >>
+<< /S /GoTo /D (section*.73) >>
 endobj
 372 0 obj
 (psb\137sum)
 endobj
 373 0 obj
-<< /S /GoTo /D (section*.73) >>
+<< /S /GoTo /D (section*.74) >>
 endobj
 376 0 obj
 (psb\137max)
 endobj
 377 0 obj
-<< /S /GoTo /D (section*.74) >>
+<< /S /GoTo /D (section*.75) >>
 endobj
 380 0 obj
 (psb\137min)
 endobj
 381 0 obj
-<< /S /GoTo /D (section*.75) >>
+<< /S /GoTo /D (section*.76) >>
 endobj
 384 0 obj
 (psb\137amx)
 endobj
 385 0 obj
-<< /S /GoTo /D (section*.76) >>
+<< /S /GoTo /D (section*.77) >>
 endobj
 388 0 obj
 (psb\137amn)
 endobj
 389 0 obj
-<< /S /GoTo /D (section*.77) >>
+<< /S /GoTo /D (section*.78) >>
 endobj
 392 0 obj
 (psb\137snd)
 endobj
 393 0 obj
-<< /S /GoTo /D (section*.78) >>
+<< /S /GoTo /D (section*.79) >>
 endobj
 396 0 obj
 (psb\137rcv)
@@ -595,25 +595,25 @@ endobj
 (8 Error handling)
 endobj
 401 0 obj
-<< /S /GoTo /D (section*.79) >>
+<< /S /GoTo /D (section*.80) >>
 endobj
 404 0 obj
 (psb\137errpush)
 endobj
 405 0 obj
-<< /S /GoTo /D (section*.80) >>
+<< /S /GoTo /D (section*.81) >>
 endobj
 408 0 obj
 (psb\137error)
 endobj
 409 0 obj
-<< /S /GoTo /D (section*.81) >>
+<< /S /GoTo /D (section*.82) >>
 endobj
 412 0 obj
 (psb\137set\137errverbosity)
 endobj
 413 0 obj
-<< /S /GoTo /D (section*.82) >>
+<< /S /GoTo /D (section*.83) >>
 endobj
 416 0 obj
 (psb\137set\137erraction)
@@ -625,31 +625,31 @@ endobj
 (9 Utilities)
 endobj
 421 0 obj
-<< /S /GoTo /D (section*.83) >>
+<< /S /GoTo /D (section*.84) >>
 endobj
 424 0 obj
 (hb\137read)
 endobj
 425 0 obj
-<< /S /GoTo /D (section*.84) >>
+<< /S /GoTo /D (section*.85) >>
 endobj
 428 0 obj
 (hb\137write)
 endobj
 429 0 obj
-<< /S /GoTo /D (section*.85) >>
+<< /S /GoTo /D (section*.86) >>
 endobj
 432 0 obj
 (mm\137mat\137read)
 endobj
 433 0 obj
-<< /S /GoTo /D (section*.86) >>
+<< /S /GoTo /D (section*.87) >>
 endobj
 436 0 obj
 (mm\137vet\137read )
 endobj
 437 0 obj
-<< /S /GoTo /D (section*.87) >>
+<< /S /GoTo /D (section*.88) >>
 endobj
 440 0 obj
 (mm\137mat\137write)
@@ -661,25 +661,25 @@ endobj
 (10 Preconditioner routines)
 endobj
 445 0 obj
-<< /S /GoTo /D (section*.88) >>
+<< /S /GoTo /D (section*.89) >>
 endobj
 448 0 obj
 (psb\137precinit)
 endobj
 449 0 obj
-<< /S /GoTo /D (section*.89) >>
+<< /S /GoTo /D (section*.90) >>
 endobj
 452 0 obj
 (psb\137precbld)
 endobj
 453 0 obj
-<< /S /GoTo /D (section*.90) >>
+<< /S /GoTo /D (section*.91) >>
 endobj
 456 0 obj
 (psb\137precaply)
 endobj
 457 0 obj
-<< /S /GoTo /D (section*.91) >>
+<< /S /GoTo /D (section*.92) >>
 endobj
 460 0 obj
 (psb\137precdescr)
@@ -691,7 +691,7 @@ endobj
 (11 Iterative Methods)
 endobj
 465 0 obj
-<< /S /GoTo /D (section*.92) >>
+<< /S /GoTo /D (section*.93) >>
 endobj
 468 0 obj
 (krylov)
@@ -773,7 +773,7 @@ endobj
 /ProcSet [ /PDF /Text ]
 >> endobj
 532 0 obj <<
-/Length 17819     
+/Length 17970     
 >>
 stream
 0 g 0 G
@@ -1210,32 +1210,39 @@ BT
 0 g 0 G
  [-586(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1084(19)]TJ
+ [-1084(20)]TJ
 0 g 0 G
 0 0 1 rg 0 0 1 RG
- 0 -12.122 Td [(3.5)-1022(Data)-334(structure)-333(Metho)-28(ds)]TJ
+/F27 9.9626 Tf -14.944 -22.196 Td [(4)-925(Computational)-383(r)-1(ou)1(t)-1(ines)]TJ
 0 g 0 G
- [-669(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-19886(21)]TJ
+0 0 1 rg 0 0 1 RG
+/F8 9.9626 Tf 14.944 -12.123 Td [(psb)]TJ
+ET
+q
+1 0 0 1 130.436 241.749 cm
+[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S
+Q
+BT
+/F8 9.9626 Tf 133.425 241.549 Td [(geaxpb)28(y)]TJ
 0 g 0 G
- [-1084(21)]TJ
+ [-301(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
-0 0 1 rg 0 0 1 RG
-/F27 9.9626 Tf -14.944 -22.197 Td [(4)-925(Computational)-383(r)-1(ou)1(t)-1(ines)]TJ
+ [-1084(22)]TJ
 0 g 0 G
- [-19886(22)]TJ
 0 0 1 rg 0 0 1 RG
-/F8 9.9626 Tf 14.944 -12.122 Td [(psb)]TJ
+ -18.586 -12.122 Td [(psb)]TJ
 ET
 q
 1 0 0 1 130.436 229.626 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 229.427 Td [(geaxpb)28(y)]TJ
+/F8 9.9626 Tf 133.425 229.427 Td [(gedot)]TJ
 0 g 0 G
- [-301(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-718(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1084(23)]TJ
+ [-1083(24)]TJ
 0 g 0 G
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  -18.586 -12.122 Td [(psb)]TJ
@@ -1245,11 +1252,11 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 217.305 Td [(gedot)]TJ
+/F8 9.9626 Tf 133.425 217.305 Td [(gedots)]TJ
 0 g 0 G
- [-718(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1083(25)]TJ
+ [-1084(26)]TJ
 0 g 0 G
 0 0 1 rg 0 0 1 RG
  -18.586 -12.123 Td [(psb)]TJ
@@ -1259,11 +1266,11 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 205.182 Td [(gedots)]TJ
+/F8 9.9626 Tf 133.425 205.182 Td [(geamax)]TJ
 0 g 0 G
- [-323(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-579(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1084(27)]TJ
+ [-1084(28)]TJ
 0 g 0 G
 0 0 1 rg 0 0 1 RG
  -18.586 -12.122 Td [(psb)]TJ
@@ -1273,9 +1280,9 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 193.06 Td [(geamax)]TJ
+/F8 9.9626 Tf 133.425 193.06 Td [(geamaxs)]TJ
 0 g 0 G
- [-579(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-962(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
  [-1084(29)]TJ
 0 g 0 G
@@ -1287,11 +1294,11 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 180.937 Td [(geamaxs)]TJ
+/F8 9.9626 Tf 133.425 180.937 Td [(geasum)]TJ
 0 g 0 G
- [-962(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-657(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1084(30)]TJ
+ [-1083(30)]TJ
 0 g 0 G
 0 0 1 rg 0 0 1 RG
  -18.586 -12.122 Td [(psb)]TJ
@@ -1301,11 +1308,11 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 168.815 Td [(geasum)]TJ
+/F8 9.9626 Tf 133.425 168.815 Td [(geasums)]TJ
 0 g 0 G
- [-657(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-262(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1083(31)]TJ
+ [-1084(31)]TJ
 0 g 0 G
 0 0 1 rg 0 0 1 RG
  -18.586 -12.122 Td [(psb)]TJ
@@ -1319,7 +1326,7 @@ BT
 0 g 0 G
  [-262(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
- [-1084(32)]TJ
+ [-1084(33)]TJ
 0 g 0 G
 0 0 1 rg 0 0 1 RG
  -18.586 -12.123 Td [(psb)]TJ
@@ -1329,9 +1336,9 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 144.57 Td [(geasums)]TJ
+/F8 9.9626 Tf 133.425 144.57 Td [(genrm2s)]TJ
 0 g 0 G
- [-262(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
+ [-265(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ
 0 g 0 G
  [-1084(34)]TJ
 0 g 0 G
@@ -1343,9 +1350,9 @@ q
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F8 9.9626 Tf 133.425 132.448 Td [(genrm2s)]TJ
+/F8 9.9626 Tf 133.425 132.448 Td [(spnrm1)]TJ
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 trailer
-<< /Size 1665
-/Root 1663 0 R
-/Info 1664 0 R
-/ID [ ] >>
+<< /Size 1681
+/Root 1679 0 R
+/Info 1680 0 R
+/ID [<3AE0F8ABCA59F330DFB552037EB335AD> <3AE0F8ABCA59F330DFB552037EB335AD>] >>
 startxref
-942204
+957464
 %%EOF
diff --git a/docs/src/commrout.tex b/docs/src/commrout.tex
index 627f2dd8..d2505ce6 100644
--- a/docs/src/commrout.tex
+++ b/docs/src/commrout.tex
@@ -405,7 +405,7 @@ $glob\_x$. \\
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf in}.\\
-Specified as: a rank one or two array containing numbers of the type
+Specified as:  a rank one or two array or an object of type \vdata\ 
 indicated in Table~\ref{tab:gather}.
 \item[desc\_a] contains data structures for communications.\\
 Scope: {\bf local} \\
diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex
index 2fb59016..bbf1d00b 100644
--- a/docs/src/datastruct.tex
+++ b/docs/src/datastruct.tex
@@ -51,8 +51,8 @@ pattern and enables data communications and other operations that are
 necessary for implementing the various algorithms of interest to us. 
 
 The data structure itself \verb|psb_desc_type| can be treated as an
-opaque object handled via the  tools routines of
-Sec.~\ref{sec:toolsrout} and~\ref{sec:dataquery};
+opaque object handled via the   tools routines of
+Sec.~\ref{sec:toolsrout} or the query routines detailed below;
 nevertheless we include here a  description for the curious 
 reader. 
 
@@ -629,7 +629,9 @@ Scope: {\bf local}\\
 \subsection{Dense Vector Data Structure}
 \label{sec:vecttype}
 The \hypertarget{vdata}{{\tt psb\_T\_vect\_type}} data structure
-encapsulates the dense vectors in a way similar to sparse matrices. 
+encapsulates the dense vectors in a way similar to sparse matrices,
+i.e. including a base type \hypertarget{vbasedata}{{\tt
+    psb\_T\_base\_vect\_type}}.  
 The user will not, in general, access the vector components directly,
 but rather via the routines of sec.~\ref{sec:toolsrout}. Among other
 simple things, we define here an extraction method that can be used to
@@ -772,58 +774,17 @@ associated communication descriptor.%%  which may be different than the
 %% \verb|psb_precbld| subroutine.
 %% This data structure wants to be flexible enough to easily allow the
 %% implementation of new kind of preconditioners.
-The values contained in
-the \verb|iprcparm| and \verb|rprcparm| define tha type of
-preconditioner along with all the parameters related to it; thus,
-\verb|iprcparm| and \verb|rprcparm| define how the other records have
-to be interpreted. This data structure is the basis of more complex
-preconditioning strategies, which are the subject of further
-research. 
+The internal preconditioner is allocated appropriately with the
+dynamic type corresponding to the desired preconditioner. 
 \begin{figure}[h!]
   \small
   \begin{Sbox}
     \begin{minipage}[tl]{0.9\textwidth}
 \begin{verbatim}
 
-  type psb_sprec_type
-    type(psb_sspmat_type), allocatable :: av(:) 
-    real(psb_spk_), allocatable        :: d(:)  
-    type(psb_desc_type)                :: desc_data 
-    integer, allocatable               :: iprcparm(:) 
-    real(psb_spk_), allocatable        :: rprcparm(:) 
-    integer, allocatable               :: perm(:),  invperm(:) 
-    integer                            :: prec, base_prec
-  end type psb_sprec_type
-
-  type psb_dprec_type
-    type(psb_dspmat_type), allocatable :: av(:) 
-    real(psb_dpk_), allocatable        :: d(:)  
-    type(psb_desc_type)                :: desc_data 
-    integer, allocatable               :: iprcparm(:) 
-    real(psb_dpk_), allocatable        :: rprcparm(:) 
-    integer, allocatable               :: perm(:),  invperm(:) 
-    integer                            :: prec, base_prec
-  end type psb_dprec_type
-
-  type psb_cprec_type
-    type(psb_cspmat_type), allocatable :: av(:) 
-    complex(psb_spk_), allocatable     :: d(:)  
-    type(psb_desc_type)                :: desc_data 
-    integer, allocatable               :: iprcparm(:) 
-    real(psb_spk_), allocatable        :: rprcparm(:) 
-    integer, allocatable               :: perm(:),  invperm(:) 
-    integer                            :: prec, base_prec
-  end type psb_cprec_type
-
-  type psb_zprec_type
-    type(psb_zspmat_type), allocatable :: av(:) 
-    complex(psb_dpk_), allocatable     :: d(:)  
-    type(psb_desc_type)                :: desc_data 
-    integer, allocatable               :: iprcparm(:) 
-    real(psb_dpk_), allocatable        :: rprcparm(:) 
-    integer, allocatable               :: perm(:),  invperm(:) 
-    integer                            :: prec, base_prec
-  end type psb_zprec_type
+  type psb_Tprec_type
+    class(psb_T_base_prec_type), allocatable :: prec
+  end type psb_Tprec_type
 
 \end{verbatim}
     \end{minipage}
@@ -855,8 +816,8 @@ research.
 %% \end{description}
 
 
-\subsection{Data structure Methods}
-\label{sec:dataquery}
+% \subsection{Data structure Methods}
+% \label{sec:dataquery}
 
 
 
diff --git a/docs/src/methods.tex b/docs/src/methods.tex
index 9d271c3d..27eec2f8 100644
--- a/docs/src/methods.tex
+++ b/docs/src/methods.tex
@@ -62,12 +62,12 @@ Specified as: a structured data of type \precdata.
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf in}.\\
-Specified as: a rank one array.
+Specified as:  a rank one array or an object of type \vdata.
 \item[x] The initial guess. \\
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a rank one array.
+Specified as:  a rank one array or an object of type \vdata.
 \item[eps] The stopping tolerance. \\
 Scope: {\bf global} \\
 Type: {\bf required}\\
@@ -107,7 +107,7 @@ of the residual. Default: 2.
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a rank one array.
+Specified as:  a rank one array or an object of type \vdata.
 \item[iter]  The number of iterations performed.\\
 Scope: {\bf global} \\
 Type: {\bf optional}\\
diff --git a/docs/src/precs.tex b/docs/src/precs.tex
index c41247d6..0f7b89dd 100644
--- a/docs/src/precs.tex
+++ b/docs/src/precs.tex
@@ -85,7 +85,7 @@ $ptype$ string as follows\footnote{The string is case-insensitive}:
 \addcontentsline{toc}{subsection}{psb\_precbld}
 
 \begin{verbatim}
-call psb_precbld(a, desc_a, prec, info)
+call psb_precbld(a, desc_a, prec, info,amold,vmold)
 \end{verbatim}
 
 \begin{description}
@@ -111,6 +111,17 @@ Specified as: a communication descriptor data structure \descdata.
 %% Type: {\bf optional}\\
 %% Intent: {\bf in}.\\
 %% Specified as: a character.
+\item[amold] The desired dynamic type for the internal matrix storage.\\
+Scope: {\bf local}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: an object of a class derived from \spbasedata. 
+\item[vmold] The desired dynamic type for the internal vector storage.\\
+Scope: {\bf local}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: an object of a class derived from \vbasedata. 
+
 \end{description}
 
 \begin{description}
@@ -149,7 +160,7 @@ Specified as: a preconditioner data structure \precdata.
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a double precision array.
+Specified as:  a rank one array or an object of type \vdata. 
 \item[desc\_a] the problem communication descriptor.
 Scope: {\bf local} \\
 Type: {\bf required}\\
@@ -173,7 +184,7 @@ Specified as: a double precision array.
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a double precision array.
+Specified as:  a rank one array or an object of type \vdata.
 \item[info] Error code.\\
 Scope: {\bf local} \\
 Type: {\bf required} \\
diff --git a/docs/src/psbrout.tex b/docs/src/psbrout.tex
index feae2961..952e2b13 100644
--- a/docs/src/psbrout.tex
+++ b/docs/src/psbrout.tex
@@ -691,6 +691,70 @@ An integer value; 0 means no error has been detected.
 
 
 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+%       1-NORM OF A MATRIX 
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\clearpage\subsection*{psb\_spnrm1 --- 1-Norm of Sparse Matrix}    
+\addcontentsline{toc}{subsection}{psb\_spnrm1}
+
+This function computes the 1-norm of a matrix $A$:\\
+
+\[ nrm1 \leftarrow \|A\|_1 \]
+where:
+\begin{description}
+\item[$A$] represents the global matrix $A$
+\end{description}
+
+\begin{table}[h]
+\begin{center}
+\begin{tabular}{ll}
+\hline
+$A$ & {\bf Function}\\
+\hline
+Short Precision Real & psb\_spnrm1 \\
+Long Precision Real & psb\_spnrm1 \\
+Short Precision Complex & psb\_spnrm1 \\
+Long Precision Complex & psb\_spnrm1 \\
+\hline
+\end{tabular}
+\end{center}
+\caption{Data types\label{tab:f90nrm1}}
+\end{table}
+
+\begin{verbatim}
+psb_spnrm1(A, desc_a, info)
+\end{verbatim}
+
+\begin{description}
+\item[Type:] Synchronous.
+\item[\bf On Entry]
+\item[a] the local  portion of the global sparse matrix
+$A$. \\   
+Scope: {\bf local} \\
+Type: {\bf required}\\
+Intent: {\bf in}.\\
+Specified as: an object of type \spdata.
+\item[desc\_a] contains data structures for communications.\\
+Scope: {\bf local} \\
+Type: {\bf required}\\
+Intent: {\bf in}.\\
+Specified as: an object of type \descdata.
+\item[\bf On Return] 
+\item[Function value] is the 1-norm of sparse submatrix $A$.\\
+Scope: {\bf global} \\
+Specified as: a long precision real number.
+\item[info] Error code.\\
+Scope: {\bf local} \\
+Type: {\bf required} \\
+Intent: {\bf out}.\\
+An integer value; 0 means no error has been detected. 
+\end{description}
+
+
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 %       INFINITY-NORM OF A MATRIX 
diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex
index 6d74a194..9ce2ea09 100644
--- a/docs/src/toolsrout.tex
+++ b/docs/src/toolsrout.tex
@@ -910,8 +910,8 @@ rank-1 array.
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf out}.\\
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, of type real, complex or integer.\\
+Specified as: a rank one or two array with the ALLOCATABLE  attribute
+or an object of type \vdata, of type real, complex or integer.\\ 
 \item[info] Error code.\\
 Scope: {\bf local} \\
 Type: {\bf required} \\
@@ -970,8 +970,8 @@ Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, of type real, complex or integer.\\
+Specified as:  a rank one or two array or an object of type \vdata, of
+type real, complex or integer.\\ 
 \item[info] Error code.\\
 Scope: {\bf local} \\
 Type: {\bf required} \\
@@ -994,7 +994,7 @@ An integer value; 0 means no error has been detected.
 \addcontentsline{toc}{subsection}{psb\_geasb}
 
 \begin{verbatim}
-call psb_geasb(x, desc_a, info)
+call psb_geasb(x, desc_a, info, mold)
 \end{verbatim}
 
 \begin{description}
@@ -1005,6 +1005,12 @@ Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf in}.\\
 Specified as: a variable of type \descdata.\\
+\item[mold] The desired dynamic type for the internal vector storage.\\
+Scope: {\bf local}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: an object of a class derived from \vbasedata; this is
+only allowed when $x$ is of type \vdata.
 \end{description}
 
 \begin{description}
@@ -1013,8 +1019,8 @@ Specified as: a variable of type \descdata.\\
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, of type real, complex or integer.\\
+Specified as: a rank one or two array with the ALLOCATABLE or an
+object of type \vdata, of type real, complex or integer.\\
 \item[info] Error code.\\
 Scope: {\bf local} \\
 Type: {\bf required} \\
@@ -1039,8 +1045,8 @@ call psb_gefree(x, desc_a, info)
 Scope: {\bf local} \\
 Type: {\bf required}\\
 Intent: {\bf inout}.\\
-Specified as: a rank one or two array with the ALLOCATABLE
-attribute, of type real, complex or integer.\\
+Specified as: a rank one or two array with the ALLOCATABLE or an
+object of type \vdata, of type real, complex or integer.\\
 
 \item[desc\_a] The communication descriptor.\\
 Scope: {\bf local} \\
@@ -1722,7 +1728,7 @@ position as the corresponding entries in $x$.
   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 often the preferred  choice when a sorting is needed
+  merge-sort is the preferred  choice when a sorting is needed
   by other routines in the library. 
 \end{enumerate}
 \end{enumerate}
diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex
index 9a664410..be8f0887 100644
--- a/docs/src/userguide.tex
+++ b/docs/src/userguide.tex
@@ -76,6 +76,7 @@
 \newcommand{\spdata}{\hyperlink{spdata}{{\tt psb\_Tspmat\_type}}}
 \newcommand{\vdata}{\hyperlink{vdata}{{\tt psb\_T\_vect\_type}}}
 \newcommand{\spbasedata}{\hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}}
+\newcommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}}
 
 \begin{document}
 
diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex
index 323be30d..9a6742e6 100644
--- a/docs/src/userhtml.tex
+++ b/docs/src/userhtml.tex
@@ -75,6 +75,8 @@
 \newcommand{\spdata}{\hyperlink{spdata}{{\tt psb\_Tspmat\_type}}}
 \newcommand{\vdata}{\hyperlink{vdata}{{\tt psb\_T\_vect\_type}}}
 \newcommand{\spbasedata}{\hypertarget{spbasedata}{{\tt psb\_T\_base\_sparse\_mat}}}
+\newcommand{\vbasedata}{\hypertarget{vbasedata}{{\tt psb\_T\_base\_vect\_type}}}
+
 \begin{document}
 {\LARGE\bfseries PSBLAS\\[.8ex] User's and Reference
   Guide}\\[\baselineskip]