From 13692946359c1d846ad8807b1c984447943526c9 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 3 Apr 2022 18:12:20 +0200 Subject: [PATCH] Docs for remote build and duplicate handling. --- docs/html/userhtmlsu36.html | 31 +- docs/html/userhtmlsu37.html | 14 +- docs/html/userhtmlsu38.html | 32 +- docs/html/userhtmlsu41.html | 45 +- docs/html/userhtmlsu42.html | 35 +- docs/html/userhtmlsu43.html | 12 +- docs/html/userhtmlsu44.html | 12 +- docs/html/userhtmlsu45.html | 12 +- docs/html/userhtmlsu46.html | 14 +- docs/html/userhtmlsu47.html | 12 +- docs/html/userhtmlsu48.html | 14 +- docs/html/userhtmlsu49.html | 14 +- docs/html/userhtmlsu50.html | 14 +- docs/html/userhtmlsu51.html | 14 +- docs/html/userhtmlsu52.html | 14 +- docs/html/userhtmlsu53.html | 14 +- docs/html/userhtmlsu54.html | 14 +- docs/html/userhtmlsu55.html | 12 +- docs/html/userhtmlsu56.html | 16 +- docs/html/userhtmlsu82.html | 36 +- docs/html/userhtmlsu83.html | 8 +- docs/html/userhtmlsu84.html | 2 +- docs/html/userhtmlsu85.html | 2 +- docs/html/userhtmlsu86.html | 2 +- docs/html/userhtmlsu87.html | 2 +- docs/html/userhtmlsu88.html | 2 +- docs/html/userhtmlsu89.html | 2 +- docs/html/userhtmlsu90.html | 4 - docs/psblas-3.7.pdf | 12666 +++++++++++++++------------------- docs/src/toolsrout.tex | 39 +- 30 files changed, 5943 insertions(+), 7167 deletions(-) diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html index b02ac19c..93be49b1 100644 --- a/docs/html/userhtmlsu36.html +++ b/docs/html/userhtmlsu36.html @@ -22,7 +22,7 @@ href="userhtmlsu32.html#userhtmlsu39.html" >up] 

-call psb_spall(a, desc_a, info, nnz, buildmode)
+call psb_spall(a, desc_a, info [, nnz, dupl, buildmode])

@@ -64,6 +64,21 @@ class="cmbx-10">in.
Specified as: an integer value.

dupl
How to handle duplicate coefficients.
Scope: global.
Type: optional.
Intent: in.
Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, + psb_dupl_err_. +
+buildmode
Whether to keep track of matrix entries that do not belong to the current process.
psb_matbld_noremote_, psb_matbld_remote_. Default: psb_matbld_noremote_.
-

+

On Return
+ + +
a
psb_Tspmat_type. - - -
info
required
Intent: out.
An integer value; 0 means no error has been detected.
-

Notes

  1. psb_matbld_remote_ will cause an overhead a -

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    -

    diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html index 85b08e29..e59a77e4 100644 --- a/docs/html/userhtmlsu37.html +++ b/docs/html/userhtmlsu37.html @@ -10,7 +10,7 @@ -

    [

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    call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local]) -

    -

    +

    +

    Type:
    optional.
    Specified as: a logical value; default: .false..
    -

    +

    On Return
    required
    Intent: out.
    An integer value; 0 means no error has been detected.
    -

    Notes

    1. -1 should be one of the local indices, but are otherwise -

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      -

      diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html index 73e5bee4..46962f0b 100644 --- a/docs/html/userhtmlsu38.html +++ b/docs/html/userhtmlsu38.html @@ -10,7 +10,7 @@ -

      [

      [next] [prev] [prev-tail] [up] 

      -call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
+call psb_spasb(a, desc_a, info, afmt, upd,  mold)
      -

      -

      +

      +

      Type:
      psb_upd_srch_, psb_upd_perm_
      dupl
      How to handle duplicate coefficients.
      Scope: global.
      Type: optional.
      Intent: in.
      Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, - psb_dupl_err_. -
      -mold
      The desired dynamic type for the internal matrix storage.
      Scope: _base_sparse_mat.

      - - -

      On Return
      psb_Tspmat_type. + + +
      descpsb_spins
    2. On exit from this routine the matrix is in the assembled state, and thus is suitable for the computational routines; - - -
    3. If the up] 

      4. -call psb_geall(x, desc_a, info, n, lb)
+call psb_geall(x, desc_a, info[, dupl, bldmode, n, lb])

      @@ -77,8 +77,40 @@ class="newline" />Intent: in.
      Specified as: Integer scalar, default 1. It is not a valid argument if x is a - rank-1 array. -

      + rank-1 array. +

      +dupl
      How to handle duplicate coefficients.
      Scope: global.
      Type: optional.
      Intent: in.
      Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, + psb_dupl_err_. +
      +buildmode
      Whether to keep track of matrix entries that do not belong to the + current process.
      Scope: global.
      Type: optional.
      Intent: in.
      Specified as: + an integer value psb_matbld_noremote_, psb_matbld_remote_. Default: + psb_matbld_noremote_.
      +

      On Return
      _T_vect_type, of type real, complex or integer.
      - - -
      info
      An integer value; 0 means no error has been detected.

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      -

      diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html index 759e37dd..30779ef4 100644 --- a/docs/html/userhtmlsu42.html +++ b/docs/html/userhtmlsu42.html @@ -10,7 +10,7 @@ -

      [

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      -call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
+call psb_geins(m, irw, val, x, desc_a, info [,local])
      -

      -

      +

      +

      Type:
      psb_desc_type. -
      -dupl
      How to handle duplicate coefficients.
      Scope: global.
      Type: optional.
      Intent: in.
      Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_. - - -
      local
      optional.
      Specified as: a logical value; default: .false..
      -

      +

      + + +

      On Return
      required
      Intent: out.
      An integer value; 0 means no error has been detected.
      -

      Notes

      1. Notes -

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        -

        diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html index ddfdcf58..e0e237a6 100644 --- a/docs/html/userhtmlsu43.html +++ b/docs/html/userhtmlsu43.html @@ -10,7 +10,7 @@ -

        [

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         call psb_geasb(x, desc_a, info, mold)
        -

        -

        +

        +

        Type:
        psb_T_vect_type.
        -

        +

        On Return
        An integer value; 0 means no error has been detected.

        [

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        -

        diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html index 42ba0c96..1353f60a 100644 --- a/docs/html/userhtmlsu44.html +++ b/docs/html/userhtmlsu44.html @@ -10,7 +10,7 @@ -

        [

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         call psb_gefree(x, desc_a, info)
        -

        -

        +

        +

        Type:
        psb_desc_type.
        -

        +

        On Return
        An integer value; 0 means no error has been detected.

        [

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        -

        diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html index 68feb5de..7ed46b09 100644 --- a/docs/html/userhtmlsu45.html +++ b/docs/html/userhtmlsu45.html @@ -10,7 +10,7 @@ -

        [

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         call psb_gelp(trans, iperm, x, info)
        -

        -

        +

        +

        Type:
        Intent: inout.
        Specified as: a one or two dimensional array.
        -

        +

        On Return
        An integer value; 0 means no error has been detected.

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        -

        diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html index 830ce937..933b5fab 100644 --- a/docs/html/userhtmlsu46.html +++ b/docs/html/userhtmlsu46.html @@ -10,7 +10,7 @@ -

        [

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        call psb_glob_to_loc(x, y, desc_a, info, iact,owned) call psb_glob_to_loc(x, desc_a, info, iact,owned) -

        -

        +

        +

        Type:
        Intent: in.
        If true, then only indices strictly owned by the current process are considered valid, if false then halo indices are also accepted. Default: false.
        -

        +

        On Return
        required
        Intent: out.
        An integer value; 0 means no error has been detected.
        -

        Notes

        1. Ignore means that the negative output is th -

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          -

          diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html index e6fad428..7a34bae5 100644 --- a/docs/html/userhtmlsu47.html +++ b/docs/html/userhtmlsu47.html @@ -10,7 +10,7 @@ -

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          call psb_loc_to_glob(x, y, desc_a, info, iact) call psb_loc_to_glob(x, desc_a, info, iact) -

          -

          +

          +

          Type:
          Ignore, Warning or Abort, default Ignore.
          -

          +

          On Return
          An integer value; 0 means no error has been detected.

          [

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          -

          diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html index c6d48e0f..0d2a0959 100644 --- a/docs/html/userhtmlsu48.html +++ b/docs/html/userhtmlsu48.html @@ -10,7 +10,7 @@ -

          [

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           call psb_is_owned(x, desc_a)
          -

          -

          +

          +

          Type:
          psb_desc_type.
          -

          +

          On Return
          required
          Intent: out.
          -

          Notes

          1. .true. value for an index that is strictly -

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            -

            diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html index d6f483ca..2b440146 100644 --- a/docs/html/userhtmlsu49.html +++ b/docs/html/userhtmlsu49.html @@ -10,7 +10,7 @@ -

            [

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             call psb_owned_index(y, x, desc_a, info)
            -

            -

            +

            +

            Type:
            Ignore, Warning or Abort, default Ignore.
            -

            +

            On Return
            An integer value; 0 means no error has been detected.

            Notes

            1. .true. value for those indices that are str -

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              -

              diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html index 459d7843..61677030 100644 --- a/docs/html/userhtmlsu50.html +++ b/docs/html/userhtmlsu50.html @@ -10,7 +10,7 @@ -

              [

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               call psb_is_local(x, desc_a)
              -

              -

              +

              +

              Type:
              psb_desc_type.
              -

              +

              On Return
              required
              Intent: out.
              -

              Notes

              1. .true. value for an index that is local to -

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                -

                diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html index 49bc9faf..2bbbbba9 100644 --- a/docs/html/userhtmlsu51.html +++ b/docs/html/userhtmlsu51.html @@ -10,7 +10,7 @@ -

                [

                [next] [prev] [prev-tail] [up] 

                 call psb_local_index(y, x, desc_a, info)
                -

                -

                +

                +

                Type:
                Ignore, Warning or Abort, default Ignore.
                -

                +

                On Return
                An integer value; 0 means no error has been detected.

                Notes

                1. .true. value for those indices that are loc -

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                  -

                  diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html index c55b1619..2eac7163 100644 --- a/docs/html/userhtmlsu52.html +++ b/docs/html/userhtmlsu52.html @@ -10,7 +10,7 @@ -

                  [

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                   call psb_get_boundary(bndel, desc, info)
                  -

                  -

                  +

                  +

                  Type:
                  psb_desc_type.
                  -

                  +

                  On Return
                  required
                  Intent: out.
                  An integer value; 0 means no error has been detected.
                  -

                  Notes

                  1. bndel will be exactly equal to the nu -

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                    -

                    diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html index 281c6a44..52f5837a 100644 --- a/docs/html/userhtmlsu53.html +++ b/docs/html/userhtmlsu53.html @@ -10,7 +10,7 @@ -

                    [

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                     call psb_get_overlap(ovrel, desc, info)
                    -

                    -

                    +

                    +

                    Type:
                    psb_desc_type.
                    -

                    +

                    On Return
                    required
                    Intent: out.
                    An integer value; 0 means no error has been detected.
                    -

                    Notes

                    1. ovrel will be exactly equal to the number o -

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                      -

                      diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html index 9da5b49f..4de7e149 100644 --- a/docs/html/userhtmlsu54.html +++ b/docs/html/userhtmlsu54.html @@ -10,7 +10,7 @@ -

                      [

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                      call psb_sp_getrow(row, a, nz, ia, ja, val, info, &               & append, nzin, lrw) -

                      -

                      +

                      +

                      Type:
                      row. -

                      +

                      On Return
                      required
                      Intent: out.
                      An integer value; 0 means no error has been detected.
                      -

                      Notes

                      1. psb_loc_to_glob routine on the output.
                        2. -

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                        -

                        diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html index 2a2351f5..0a612d50 100644 --- a/docs/html/userhtmlsu55.html +++ b/docs/html/userhtmlsu55.html @@ -10,7 +10,7 @@ -

                        [

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                        6.26 psb_sizeof — Memory occupation

                        -

                        This function computes the memory occupation of a PSBLAS object. +

                        This function computes the memory occupation of a PSBLAS object. @@ -27,8 +27,8 @@ isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -

                        -

                        +

                        +

                        Type:
                        integer(psb_long_int_k_) number.
                        -

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                        -

                        diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html index 0bf25c0e..afd46917 100644 --- a/docs/html/userhtmlsu56.html +++ b/docs/html/userhtmlsu56.html @@ -10,20 +10,20 @@ -

                        [

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                        6.27 Sorting utilities —

                        -

                        psb_msort — Sorting by the Merge-sort algorithm -

                        psb_qsort — Sorting by the Quicksort algorithm -

                        psb_hsort — Sorting by the Heapsort algorithm @@ -34,8 +34,8 @@ call psb_msort(x,ix,dir,flag) call psb_qsort(x,ix,dir,flag) call psb_hsort(x,ix,dir,flag) -

                        -

                        These serial routines sort a sequence

                        +

                        These serial routines sort a sequence X into ascending or descending order. The argument meaning is identical for the three calls; the only difference is the algorithm used to accomplish the task (see Usage Notes below). @@ -102,7 +102,7 @@ class="cmtt-10">psb_sort_keep_idx_; default psb_sort_ovw_idx_.

                      -

                      +

                      On Return
                      Optional
                      An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in x.
                      -

                      Notes

                      1. An integer value; 0 means no error has been detected.

                        Notes +

                        If this function is called on a matrix a on a distributed communicator only the +local part is written in output. To get a single MatrixMarket file with the whole +matrix when appropriate, e.g. for debugging purposes, one could gather the whole +matrix on a single rank and then write it. Consider the following example for a +double precision matrix +

                        +

                        +

                        +type(psb_ldspmat_type) :: aglobal
+call psb_gather(aglobal,a,desc_a,info)
+if (iam == psb_root_) then
+call mm_mat_write(aglobal,mtitle,info,filename)
+end if
+call psb_spfree(aglobal, desc_a, info)
+
                        +

                        +

                        To simplify this procedure in C, there is a utility function +

                        +

                        +

                        +psb_i_t psb_c_<s,d,c,z>global_mat_write(ah,cdh);
+
                        +

                        +

                        that produces exactly this result. -

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                        -

                        diff --git a/docs/html/userhtmlsu83.html b/docs/html/userhtmlsu83.html index 1a26067f..e7cd0896 100644 --- a/docs/html/userhtmlsu83.html +++ b/docs/html/userhtmlsu83.html @@ -11,7 +11,7 @@ format -

                        [

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                        9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format

                        - +
                        callfilename)
                        -

                        +

                        Type:
                        Type:optional.
                        Specified as: an integer value. Only meaningful if filename is not -.
                        -

                        +

                        On Return
                        up]

                        - 
                        +   
                         call prec%init(icontxt,ptype, info)
 
                        
 
                        
diff --git a/docs/html/userhtmlsu85.html b/docs/html/userhtmlsu85.html
index 63b63223..4722c8a9 100644
--- a/docs/html/userhtmlsu85.html
+++ b/docs/html/userhtmlsu85.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu89.html" >up]
                        - 
                        +   
                         call prec%build(a, desc_a, info[,amold,vmold,imold])
 
                        
 
                        
diff --git a/docs/html/userhtmlsu86.html b/docs/html/userhtmlsu86.html
index 1c212dc8..0c95a467 100644
--- a/docs/html/userhtmlsu86.html
+++ b/docs/html/userhtmlsu86.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlse11.html" >up]
                      - 
                      +   
                       call prec%apply(x,y,desc_a,info,trans,work)
 call prec%apply(x,desc_a,info,trans)
 
                      
diff --git a/docs/html/userhtmlsu87.html b/docs/html/userhtmlsu87.html
index cd00e4ef..f01712c8 100644
--- a/docs/html/userhtmlsu87.html
+++ b/docs/html/userhtmlsu87.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu90.html" >up]
                      - 
                      +   
                       call prec%descr(info)
 call prec%descr(info,iout, root)
 
                      
diff --git a/docs/html/userhtmlsu88.html b/docs/html/userhtmlsu88.html
index c8d02bd2..1eee47e7 100644
--- a/docs/html/userhtmlsu88.html
+++ b/docs/html/userhtmlsu88.html
@@ -20,7 +20,7 @@ href="userhtmlsu86.html#userhtmlli2.html" >up]
                    - 
                    +   
                     call  prec%clone(precout,info)
 
                    
 
                    
diff --git a/docs/html/userhtmlsu89.html b/docs/html/userhtmlsu89.html
index 504db982..a5193184 100644
--- a/docs/html/userhtmlsu89.html
+++ b/docs/html/userhtmlsu89.html
@@ -20,7 +20,7 @@ href="userhtmlsu86.html# " >up]
                    - 
                    +   
                     call prec%free(info)
 
                    
 
                    
diff --git a/docs/html/userhtmlsu90.html b/docs/html/userhtmlsu90.html
index e0e4188c..a8ea9488 100644
--- a/docs/html/userhtmlsu90.html
+++ b/docs/html/userhtmlsu90.html
@@ -388,10 +388,6 @@ class="newline" />An integer value; 0 means no error has been detected.
                    
-                                                                  
-
-                                                                  
    
                    [front] [up] 
                    
diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf
index 1ecfe162..c2fdc7c7 100644
--- a/docs/psblas-3.7.pdf
+++ b/docs/psblas-3.7.pdf
@@ -4,220 +4,220 @@
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-/Length 16060     
+/First 819
+/Length 6377      
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 << /S /GoTo /D (section.6) >>
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 << /S /GoTo /D (subsection.6.4) >>
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 << /S /GoTo /D (subsection.6.7) >>
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+(6.7 psb\137spall \204 Allocates a sparse matrix)
 % 339 0 obj
 << /S /GoTo /D (subsection.6.8) >>
 % 342 0 obj
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+(6.8 psb\137spins \204 Insert a set of coefficients into a sparse matrix)
 % 343 0 obj
 << /S /GoTo /D (subsection.6.9) >>
 % 346 0 obj
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+(6.9 psb\137spasb \204 Sparse matrix assembly routine)
 % 347 0 obj
 << /S /GoTo /D (subsection.6.10) >>
 % 350 0 obj
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+(6.10 psb\137spfree \204 Frees a sparse matrix)
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 << /S /GoTo /D (subsection.6.11) >>
 % 354 0 obj
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 << /S /GoTo /D (subsection.6.12) >>
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+(6.12 psb\137geall \204 Allocates a dense matrix)
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 << /S /GoTo /D (subsection.6.13) >>
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+(6.13 psb\137geins \204 Dense matrix insertion routine)
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 << /S /GoTo /D (subsection.6.14) >>
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+(6.14 psb\137geasb \204 Assembly a dense matrix)
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 << /S /GoTo /D (subsection.6.15) >>
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 << /S /GoTo /D (subsection.6.16) >>
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 << /S /GoTo /D (subsection.6.17) >>
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 << /S /GoTo /D (subsection.6.18) >>
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 << /S /GoTo /D (subsection.6.19) >>
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 << /S /GoTo /D (subsection.6.20) >>
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 << /S /GoTo /D (subsection.6.21) >>
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 << /S /GoTo /D (subsection.6.22) >>
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 << /S /GoTo /D (subsection.6.23) >>
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 << /S /GoTo /D (subsection.6.25) >>
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 << /S /GoTo /D (subsection.6.26) >>
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+(6.26 psb\137sizeof \204 Memory occupation)
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 << /S /GoTo /D (subsection.6.27) >>
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+(6.27 Sorting utilities \204 )
 % 420 0 obj
 << /S /GoTo /D (section.7) >>
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+(7 Parallel environment routines)
 % 424 0 obj
 << /S /GoTo /D (subsection.7.1) >>
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 << /S /GoTo /D (subsection.7.2) >>
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 % 432 0 obj
 << /S /GoTo /D (subsection.7.3) >>
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 % 436 0 obj
 << /S /GoTo /D (subsection.7.4) >>
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 << /S /GoTo /D (subsection.7.5) >>
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 << /S /GoTo /D (subsection.7.6) >>
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 << /S /GoTo /D (subsection.7.7) >>
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 << /S /GoTo /D (subsection.7.8) >>
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 << /S /GoTo /D (subsection.7.9) >>
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 << /S /GoTo /D (subsection.7.10) >>
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 << /S /GoTo /D (subsection.7.11) >>
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 << /S /GoTo /D (subsection.7.12) >>
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 << /S /GoTo /D (subsection.7.13) >>
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 << /S /GoTo /D (subsection.7.14) >>
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 << /S /GoTo /D (subsection.7.15) >>
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 << /S /GoTo /D (subsection.7.16) >>
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 << /S /GoTo /D (subsection.7.17) >>
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 << /S /GoTo /D (section.8) >>
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 << /S /GoTo /D (subsection.8.1) >>
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 << /S /GoTo /D (subsection.8.2) >>
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 << /S /GoTo /D (subsection.8.3) >>
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 << /S /GoTo /D (subsection.8.4) >>
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 << /S /GoTo /D (subsection.9.1) >>
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 << /S /GoTo /D (subsection.9.2) >>
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 << /S /GoTo /D (subsection.9.3) >>
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 << /S /GoTo /D (subsection.9.4) >>
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 << /S /GoTo /D (subsection.9.5) >>
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 << /S /GoTo /D (subsection.9.6) >>
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 << /S /GoTo /D (section.10) >>
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 << /S /GoTo /D (subsection.10.1) >>
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 << /S /GoTo /D (subsection.10.2) >>
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 << /S /GoTo /D (subsection.10.3) >>
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 << /S /GoTo /D (subsection.10.4) >>
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 << /S /GoTo /D (subsection.10.5) >>
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 << /S /GoTo /D (subsection.10.6) >>
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 << /S /GoTo /D (section.11) >>
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+/F51 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ
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@@ -3823,10 +3823,10 @@ q
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@@ -3841,9 +3841,9 @@ stream
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[(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F62 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F57 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F55 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F57 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 176.584 0 Td [(n)]TJ/F57 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F55 9.9626 Tf 79.682 0 Td [(i)]TJ/F57 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 130.532 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F57 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 177.035 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 129.74 0 Td [(n)]TJ/F57 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F62 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F62 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F62 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F62 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F62 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F55 9.9626 Tf 59.13 0 Td [(i)]TJ/F57 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F55 9.9626 Tf 34.731 0 Td [(n)]TJ/F57 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F88 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F57 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F55 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F57 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F55 9.9626 Tf 215.582 0 Td [(not)]TJ/F57 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F55 9.9626 Tf 88.744 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F55 9.9626 Tf 269.662 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ
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[(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F59 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F54 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F52 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F54 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 176.584 0 Td [(n)]TJ/F54 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F52 9.9626 Tf 79.682 0 Td [(i)]TJ/F54 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 130.532 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F54 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 177.035 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 129.74 0 Td [(n)]TJ/F54 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F59 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F59 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F59 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F59 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F59 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F52 9.9626 Tf 59.13 0 Td [(i)]TJ/F54 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F52 9.9626 Tf 34.731 0 Td [(n)]TJ/F54 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F85 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F54 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F52 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F54 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F52 9.9626 Tf 215.582 0 Td [(not)]TJ/F54 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F52 9.9626 Tf 88.744 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F52 9.9626 Tf 269.662 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ
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  12.453 -20.571 Td [(1.)]TJ
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- [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F62 9.9626 Tf 171.465 0 Td [(psb_init)]TJ
+ [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F59 9.9626 Tf 171.465 0 Td [(psb_init)]TJ
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+/F54 9.9626 Tf -171.465 -20.787 Td [(2.)]TJ
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- [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F62 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ
+ [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F59 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ
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-/F57 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ
+/F54 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ
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- [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F62 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F57 9.9626 Tf 49.274 0 Td [(and)]TJ/F62 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ
+ [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F59 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F54 9.9626 Tf 49.274 0 Td [(and)]TJ/F59 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ
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-/F57 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ
+/F54 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ
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+ [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.454 -11.955 Td [(them)-250(with)]TJ/F59 9.9626 Tf 47.849 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ
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+/F54 9.9626 Tf -129.225 -20.787 Td [(5.)]TJ
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-/F62 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ
+/F59 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ
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+/F54 9.9626 Tf -17.125 -16.371 Td [(\050b\051)]TJ
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-/F62 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ
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-/F57 9.9626 Tf 122.541 -29.888 Td [(6)]TJ
+/F54 9.9626 Tf 122.541 -29.888 Td [(6)]TJ
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 ET
 
@@ -4859,61 +4859,61 @@ stream
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 BT
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-/F57 7.5716 Tf 52.303 3.616 Td [(3)]TJ
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-/F57 9.9626 Tf 4.284 -3.616 Td [(.)]TJ
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@@ -4952,7 +4952,7 @@ stream
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@@ -4960,39 +4960,39 @@ BT
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+ [(\051\051)]TJ/F54 9.9626 Tf -52.303 -19.925 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
 0 g 0 G
  141.968 -282.939 Td [(33)]TJ
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@@ -9571,16 +9571,16 @@ stream
 0 g 0 G
 0 g 0 G
 BT
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 ET
 q
 1 0 0 1 198.238 706.328 cm
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 Q
 BT
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 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
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  [-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
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 Q
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-/F55 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F57 9.9626 Tf 12.17 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F54 9.9626 Tf 12.17 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 583.351 cm
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 Q
 BT
-/F57 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 574.982 cm
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-/F57 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 563.027 cm
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 Q
 BT
-/F57 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 551.072 cm
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 BT
-/F57 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 539.116 cm
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 Q
 BT
-/F57 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ
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 ET
 q
 1 0 0 1 230.392 535.131 cm
@@ -9635,118 +9635,118 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ
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 0 g 0 G
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 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ
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-/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 436.673 388.689 cm
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 Q
 BT
-/F62 9.9626 Tf 439.811 388.49 Td [(T)]TJ
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 ET
 q
 1 0 0 1 445.669 388.689 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 388.49 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 470.356 388.689 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
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 BT
-/F62 9.9626 Tf 473.495 388.49 Td [(type)]TJ
+/F59 9.9626 Tf 473.495 388.49 Td [(type)]TJ
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+ [(.)-494(The)-312(rank)-312(of)]TJ/F52 9.9626 Tf 274.834 0 Td [(x)]TJ/F54 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 436.673 297.738 cm
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 Q
 BT
-/F62 9.9626 Tf 439.811 297.539 Td [(T)]TJ
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 ET
 q
 1 0 0 1 445.669 297.738 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 297.539 Td [(vect)]TJ
+/F59 9.9626 Tf 448.807 297.539 Td [(vect)]TJ
 ET
 q
 1 0 0 1 470.356 297.738 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 473.495 297.539 Td [(type)]TJ
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+ [(.)-500(The)-314(rank)-313(of)]TJ/F52 9.9626 Tf 274.898 0 Td [(y)]TJ/F54 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 53.116 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ
 0 g 0 G
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 ET
 q
 1 0 0 1 171.218 254.607 cm
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 Q
 BT
-/F54 9.9626 Tf 174.207 254.408 Td [(a)]TJ
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 0 g 0 G
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+/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 324.173 206.786 cm
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 Q
 BT
-/F62 9.9626 Tf 327.311 206.587 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 348.86 206.786 cm
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 Q
 BT
-/F62 9.9626 Tf 351.998 206.587 Td [(type)]TJ
+/F59 9.9626 Tf 351.998 206.587 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
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  0 -19.221 Td [(res)]TJ
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 ET
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 1 0 0 1 422.639 533.722 cm
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 1 0 0 1 422.639 521.767 cm
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 1 0 0 1 470.356 362.508 cm
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+ [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(over)18(head.)-513(It)-318(may)-318(be)-318(necessary)-318(and/or)-317(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-333(at)-332(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-333(i)1(s)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F59 9.9626 Tf 20.922 -19.926 Td [(vres\050)]TJ
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  [(3)]TJ
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+ [(\051\051)]TJ/F54 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
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-/F54 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ
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 ET
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+/F51 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F52 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(:)]TJ/F52 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)]TJ/F54 9.9626 Tf 13.273 0 Td [(max)]TJ/F52 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F83 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F52 9.9626 Tf 3.298 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.273 0 Td [(k)]TJ/F54 9.9626 Tf 4.598 0 Td [(,)]TJ/F52 9.9626 Tf 4.206 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F54 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 206.349 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.46 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.007 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F54 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F52 9.9626 Tf 28.159 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.294 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F85 10.3811 Tf 8.169 0 Td [(\050)]TJ/F52 9.9626 Tf 4.444 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F85 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(k)]TJ/F52 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F85 10.3811 Tf 11.088 0 Td [(\050)]TJ/F52 9.9626 Tf 4.443 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -212.21 -21.96 Td [(call)]TJ
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 0 g 0 G
  [-525(psb_geasums\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ
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@@ -10442,42 +10442,42 @@ q
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 Q
 BT
-/F55 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F54 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F51 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 126.328 502.274 cm
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 Q
 BT
-/F57 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 369.663 493.905 cm
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 Q
 BT
-/F57 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 369.663 481.95 cm
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 BT
-/F57 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 369.663 469.995 cm
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 BT
-/F57 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 369.663 458.04 cm
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 Q
 BT
-/F57 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
+/F54 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
 ET
 q
 1 0 0 1 126.328 454.054 cm
@@ -10485,85 +10485,85 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ
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 0 g 0 G
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-/F54 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F54 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 385.864 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 389.002 295.3 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
+/F59 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
 ET
 q
 1 0 0 1 419.547 295.5 cm
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 Q
 BT
-/F62 9.9626 Tf 422.685 295.3 Td [(type)]TJ
+/F59 9.9626 Tf 422.685 295.3 Td [(type)]TJ
 0 g 0 G
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  [(.)]TJ
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-/F54 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
+/F51 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
 ET
 q
 1 0 0 1 120.408 261.085 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 123.397 260.886 Td [(a)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 213.264 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
+/F59 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 213.264 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 301.189 213.065 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
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 ET
 q
 1 0 0 1 179.842 576.161 cm
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-/F57 9.9626 Tf 185.819 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 323.053 567.793 cm
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-/F57 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
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 ET
 q
 1 0 0 1 323.053 555.838 cm
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-/F57 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 323.053 543.882 cm
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 Q
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-/F57 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 323.053 531.927 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
+/F54 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
 ET
 q
 1 0 0 1 179.842 527.942 cm
@@ -11884,81 +11884,81 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 227.467 499.564 Td [(T)92(able)-250(11:)-310(Data)-250(types)]TJ
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 0 g 0 G
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-/F62 9.9626 Tf -127.572 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 194.722 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(.)]TJ -187.096 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 273.363 344.346 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 344.147 Td [(Tspmat)]TJ
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 ET
 q
 1 0 0 1 308.511 344.346 cm
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-/F62 9.9626 Tf 311.649 344.147 Td [(type)]TJ
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-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F54 9.9626 Tf -232.676 -19.926 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 120.408 324.421 cm
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 Q
 BT
-/F54 9.9626 Tf 123.397 324.221 Td [(a)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 276.6 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
+/F59 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 276.6 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 301.189 276.401 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
-/F54 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ
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 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(Function)-250(value)]TJ
 0 g 0 G
-/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F55 9.9626 Tf 177.627 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
+/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F52 9.9626 Tf 177.627 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
 0 g 0 G
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 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -54.456 Td [(47)]TJ
 0 g 0 G
@@ -11974,38 +11974,38 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F57 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F55 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F88 10.3811 Tf 14.878 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F51 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F54 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F52 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F85 10.3811 Tf 14.878 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
+/F54 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
 0 g 0 G
-/F55 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.398 0 Td [(a)]TJ/F55 9.9626 Tf 6.007 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F52 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.398 0 Td [(a)]TJ/F52 9.9626 Tf 6.007 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
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 0 g 0 G
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+/F52 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)]TJ/F52 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F52 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -131.167 -19.132 Td [(y)]TJ
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+/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -130.23 -19.131 Td [(A)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 118.41 0 Td [(A)]TJ
 0 g 0 G
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@@ -12015,42 +12015,42 @@ q
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 Q
 BT
-/F55 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(,)]TJ/F63 9.9626 Tf 5.106 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 505.633 cm
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 Q
 BT
-/F57 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 497.264 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
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-/F62 9.9626 Tf 439.811 144.236 Td [(T)]TJ
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 1 0 0 1 470.356 144.435 cm
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 1 0 0 1 394.86 592.09 cm
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-/F62 9.9626 Tf 397.998 591.891 Td [(vect)]TJ
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 ET
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 1 0 0 1 273.363 501.762 cm
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  [-250(3)]TJ
 0 g 0 G
- -45.878 -18.597 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+ -45.878 -18.597 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.596 Td [(work)]TJ
+/F51 9.9626 Tf -24.907 -18.596 Td [(work)]TJ
 0 g 0 G
-/F57 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F55 9.9626 Tf 220.875 0 Td [(x)]TJ/F57 9.9626 Tf 7.898 0 Td [(and)]TJ/F55 9.9626 Tf 19.684 0 Td [(y)]TJ/F57 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F52 9.9626 Tf 220.875 0 Td [(x)]TJ/F54 9.9626 Tf 7.898 0 Td [(and)]TJ/F52 9.9626 Tf 19.684 0 Td [(y)]TJ/F54 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -18.597 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 144.939 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 144.939 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(12)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
+/F51 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -36.529 Td [(49)]TJ
 0 g 0 G
@@ -12284,32 +12284,32 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F57 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F55 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.227 0 Td [(1)]TJ/F55 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.42 0 Td [(T)]TJ/F55 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.504 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ/F57 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
+/F51 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F54 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F52 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.227 0 Td [(1)]TJ/F52 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.42 0 Td [(T)]TJ/F52 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.504 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ/F54 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
+/F52 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
+/F52 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
+/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
+/F52 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
 0 g 0 G
-/F57 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F55 9.9626 Tf 206.797 0 Td [(T)]TJ
+/F54 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F52 9.9626 Tf 206.797 0 Td [(T)]TJ
 0 g 0 G
  -218.159 -21.712 Td [(D)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
+/F54 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
+/F59 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
 0 g 0 G
  [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -12325,42 +12325,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F57 9.9626 Tf 6.451 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(,)]TJ/F55 9.9626 Tf 5.306 0 Td [(D)]TJ/F57 9.9626 Tf 7.975 0 Td [(,)]TJ/F63 9.9626 Tf 5.105 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ
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 ET
 q
 1 0 0 1 230.392 327.085 cm
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 Q
 BT
-/F57 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 318.716 cm
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-/F57 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 306.761 cm
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 ET
 q
 1 0 0 1 373.603 294.806 cm
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 ET
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 1 0 0 1 373.603 282.851 cm
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 BT
-/F57 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ
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 ET
 q
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@@ -12368,20 +12368,20 @@ q
 Q
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 BT
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 BT
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 ET
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 1 0 0 1 385.864 590.037 cm
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 BT
-/F62 9.9626 Tf 389.002 589.838 Td [(T)]TJ
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 ET
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 1 0 0 1 394.86 590.037 cm
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 Q
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-/F62 9.9626 Tf 397.998 589.838 Td [(vect)]TJ
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 ET
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 1 0 0 1 419.547 590.037 cm
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-/F62 9.9626 Tf 422.685 589.838 Td [(type)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 385.864 429.186 cm
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 Q
 BT
-/F62 9.9626 Tf 389.002 428.986 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 429.186 cm
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 Q
 BT
-/F62 9.9626 Tf 397.998 428.986 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 419.547 429.186 cm
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-/F62 9.9626 Tf 422.685 428.986 Td [(type)]TJ
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 ET
 q
 1 0 0 1 120.408 384.625 cm
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 BT
-/F54 9.9626 Tf 123.397 384.426 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 273.363 336.805 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 336.605 Td [(desc)]TJ
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 ET
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 1 0 0 1 298.05 336.805 cm
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 BT
-/F62 9.9626 Tf 301.189 336.605 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
-/F57 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+/F54 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ
+/F51 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ
 0 g 0 G
-/F57 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F55 9.9626 Tf 56.398 0 Td [(trans)]TJ/F57 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ
+/F54 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F52 9.9626 Tf 56.398 0 Td [(trans)]TJ/F54 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ
+/F51 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ
 0 g 0 G
-/F57 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ
+/F54 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ
 0 g 0 G
-/F54 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ
+/F51 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ
 0 g 0 G
-/F57 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ
+/F54 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ
 0 g 0 G
-/F54 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ
+/F51 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ
 0 g 0 G
-/F57 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ
+/F54 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ
 0 g 0 G
  88.34 -29.888 Td [(51)]TJ
 0 g 0 G
@@ -12559,14 +12559,14 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F57 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F88 10.3811 Tf 26.159 0 Td [(=)]TJ/F55 9.9626 Tf 10.927 0 Td [(U)]TJ/F57 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+/F54 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F85 10.3811 Tf 26.159 0 Td [(=)]TJ/F52 9.9626 Tf 10.927 0 Td [(U)]TJ/F54 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ
+/F51 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ
 0 g 0 G
-/F57 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ
+/F54 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ
 0 g 0 G
 0 g 0 G
-/F62 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ
+/F59 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ
 0 g 0 G
 0 g 0 G
  0 -15.941 Td [(psb_sum_)]TJ
@@ -12575,34 +12575,34 @@ BT
  0 -15.94 Td [(psb_avg_)]TJ
 0 g 0 G
 0 g 0 G
- 0 -15.94 Td [(psb_square_root_)]TJ/F57 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F62 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F57 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ
+ 0 -15.94 Td [(psb_square_root_)]TJ/F54 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F54 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ
+/F51 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ
 0 g 0 G
-/F57 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F88 10.3811 Tf 18.52 0 Td [(\050)]TJ/F57 9.9626 Tf 4.15 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F57 9.9626 Tf 18.002 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F88 10.3811 Tf 41.384 0 Td [(\051)]TJ/F57 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F85 10.3811 Tf 18.52 0 Td [(\050)]TJ/F54 9.9626 Tf 4.15 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F54 9.9626 Tf 18.002 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F85 10.3811 Tf 41.384 0 Td [(\051)]TJ/F54 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(13)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.926 Td [(work)]TJ
+/F51 9.9626 Tf -24.906 -19.926 Td [(work)]TJ
 0 g 0 G
-/F57 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F55 9.9626 Tf 229.679 0 Td [(x)]TJ/F57 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F52 9.9626 Tf 229.679 0 Td [(x)]TJ/F54 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(13)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.925 Td [(info)]TJ
+/F51 9.9626 Tf -24.906 -19.925 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -73.723 Td [(52)]TJ
 0 g 0 G
@@ -12618,14 +12618,14 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ
+/F51 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ
 ET
 q
 1 0 0 1 153.407 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F55 9.9626 Tf 299.677 0 Td [(x)]TJ/F57 9.9626 Tf 7.697 0 Td [(and)]TJ/F55 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F86 10.3811 Tf 16.336 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F55 9.9626 Tf 4.274 0 Td [(y)]TJ/F88 10.3811 Tf 5.231 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ/F62 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
+/F51 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F52 9.9626 Tf 299.677 0 Td [(x)]TJ/F54 9.9626 Tf 7.697 0 Td [(and)]TJ/F52 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F83 10.3811 Tf 16.336 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F52 9.9626 Tf 4.274 0 Td [(y)]TJ/F85 10.3811 Tf 5.231 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ/F59 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -12635,42 +12635,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 177.433 0 l S
 Q
 BT
-/F55 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F57 9.9626 Tf 13.444 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 91.759 0 Td [(Function)]TJ
+/F52 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F54 9.9626 Tf 13.444 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 91.759 0 Td [(Function)]TJ
 ET
 q
 1 0 0 1 183.035 618.542 cm
 []0 d 0 J 0.398 w 0 0 m 177.433 0 l S
 Q
 BT
-/F57 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 326.246 610.173 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 326.246 598.218 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 326.246 586.263 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
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 1 0 0 1 326.555 616.84 cm
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-/F57 9.9626 Tf 329.544 616.641 Td [(geinv)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
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 ET
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 1 0 0 1 326.555 604.885 cm
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 ET
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 1 0 0 1 326.555 592.93 cm
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-/F57 9.9626 Tf 329.544 592.731 Td [(geinv)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
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 ET
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 1 0 0 1 326.555 580.975 cm
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 Q
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-/F57 9.9626 Tf 329.544 580.775 Td [(geinv)]TJ
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 ET
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 1 0 0 1 280.646 434.555 cm
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-/F62 9.9626 Tf 283.785 434.356 Td [(T)]TJ
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 ET
 q
 1 0 0 1 289.642 434.555 cm
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 Q
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-/F62 9.9626 Tf 292.781 434.356 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 314.33 434.555 cm
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-/F62 9.9626 Tf 317.468 434.356 Td [(type)]TJ
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 ET
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 1 0 0 1 120.408 404.108 cm
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 ET
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 1 0 0 1 273.363 356.288 cm
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-/F62 9.9626 Tf 276.501 356.088 Td [(desc)]TJ
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 ET
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 1 0 0 1 298.05 356.288 cm
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-/F62 9.9626 Tf 301.189 356.088 Td [(type)]TJ
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 ET
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 1 0 0 1 280.646 205.171 cm
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 Q
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-/F62 9.9626 Tf 283.785 204.972 Td [(T)]TJ
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 ET
 q
 1 0 0 1 289.642 205.171 cm
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 Q
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-/F62 9.9626 Tf 292.781 204.972 Td [(vect)]TJ
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 ET
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 1 0 0 1 314.33 205.171 cm
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-/F62 9.9626 Tf 317.468 204.972 Td [(type)]TJ
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 1 0 0 1 147.429 706.328 cm
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@@ -13989,49 +13989,49 @@ q
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 1 0 0 1 322.794 575.603 cm
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 ET
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 1 0 0 1 322.794 539.738 cm
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 ET
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 1 0 0 1 322.794 527.783 cm
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-/F57 9.9626 Tf 325.783 527.583 Td [(halo)]TJ
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 Q
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 ET
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 1 0 0 1 394.86 348.823 cm
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 1 0 0 1 419.547 348.823 cm
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 ET
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 1 0 0 1 309.258 268.738 cm
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 ET
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 BT
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+/F54 8.9664 Tf 209.77 645.656 Td [(Pr)18(ocess)-250(0)-7729(Pr)18(ocess)-250(1)]TJ -31.696 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X\050I\051)-4663(I)-1333(GLOB\050I\051)-1333(X\050I\051)]TJ -1.462 -10.959 Td [(1)-4607(1)-1754(1.0)-4500(1)-4107(33)-1753(2.0)]TJ 0 -10.959 Td [(2)-4607(2)-1754(1.0)-4500(2)-4107(34)-1753(2.0)]TJ 0 -10.959 Td [(3)-4607(3)-1754(1.0)-4500(3)-4107(35)-1753(2.0)]TJ 0 -10.959 Td [(4)-4607(4)-1754(1.0)-4500(4)-4107(36)-1753(2.0)]TJ 0 -10.959 Td [(5)-4607(5)-1754(1.0)-4500(5)-4107(37)-1753(2.0)]TJ 0 -10.959 Td [(6)-4607(6)-1754(1.0)-4500(6)-4107(38)-1753(2.0)]TJ 0 -10.959 Td [(7)-4607(7)-1754(1.0)-4500(7)-4107(39)-1753(2.0)]TJ 0 -10.958 Td [(8)-4607(8)-1754(1.0)-4500(8)-4107(40)-1753(2.0)]TJ 0 -10.959 Td [(9)-4607(9)-1754(1.0)-4500(9)-4107(41)-1753(2.0)]TJ -4.483 -10.959 Td [(10)-4107(10)-1754(1.0)-4000(10)-4107(42)-1753(2.0)]TJ 0 -10.959 Td [(11)-4107(11)-1754(1.0)-4000(11)-4107(43)-1753(2.0)]TJ 0 -10.959 Td [(12)-4107(12)-1754(1.0)-4000(12)-4107(44)-1753(2.0)]TJ 0 -10.959 Td [(13)-4107(13)-1754(1.0)-4000(13)-4107(45)-1753(2.0)]TJ 0 -10.959 Td [(14)-4107(14)-1754(1.0)-4000(14)-4107(46)-1753(2.0)]TJ 0 -10.959 Td [(15)-4107(15)-1754(1.0)-4000(15)-4107(47)-1753(2.0)]TJ 0 -10.959 Td [(16)-4107(16)-1754(1.0)-4000(16)-4107(48)-1753(2.0)]TJ 0 -10.959 Td [(17)-4107(17)-1754(1.0)-4000(17)-4107(49)-1753(2.0)]TJ 0 -10.958 Td [(18)-4107(18)-1754(1.0)-4000(18)-4107(50)-1753(2.0)]TJ 0 -10.959 Td [(19)-4107(19)-1754(1.0)-4000(19)-4107(51)-1753(2.0)]TJ 0 -10.959 Td [(20)-4107(20)-1754(1.0)-4000(20)-4107(52)-1753(2.0)]TJ 0 -10.959 Td [(21)-4107(21)-1754(1.0)-4000(21)-4107(53)-1753(2.0)]TJ 0 -10.959 Td [(22)-4107(22)-1754(1.0)-4000(22)-4107(54)-1753(2.0)]TJ 0 -10.959 Td [(23)-4107(23)-1754(1.0)-4000(23)-4107(55)-1753(2.0)]TJ 0 -10.959 Td [(24)-4107(24)-1754(1.0)-4000(24)-4107(56)-1753(2.0)]TJ 0 -10.959 Td [(25)-4107(25)-1754(1.0)-4000(25)-4107(57)-1753(2.0)]TJ 0 -10.959 Td [(26)-4107(26)-1754(1.0)-4000(26)-4107(58)-1753(2.0)]TJ 0 -10.959 Td [(27)-4107(27)-1754(1.0)-4000(27)-4107(59)-1753(2.0)]TJ 0 -10.958 Td [(28)-4107(28)-1754(1.0)-4000(28)-4107(60)-1753(2.0)]TJ 0 -10.959 Td [(29)-4107(29)-1754(1.0)-4000(29)-4107(61)-1753(2.0)]TJ 0 -10.959 Td [(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F57 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
+/F54 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
 0 g 0 G
 ET
 
@@ -14376,22 +14376,22 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F55 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F57 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ
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 0 g 0 G
-/F55 9.9626 Tf 0.294 -19.203 Td [(x)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F55 9.9626 Tf 131.351 0 Td [(x)]TJ
+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F52 9.9626 Tf 131.351 0 Td [(x)]TJ
 0 g 0 G
  -141.607 -19.564 Td [(Q)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F55 9.9626 Tf 271.931 0 Td [(P)]TJ/F55 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F57 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F55 9.9626 Tf 19.681 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
+/F54 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F52 9.9626 Tf 271.931 0 Td [(P)]TJ/F52 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F54 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F52 9.9626 Tf 19.681 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
 0 g 0 G
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@@ -14401,42 +14401,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F54 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F51 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 569.356 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 560.988 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 549.032 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 537.077 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 525.122 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
+/F54 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
 ET
 q
 1 0 0 1 230.392 521.137 cm
@@ -14444,11 +14444,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
+/F59 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
 0 g 0 G
  [-525(psb_ovrl\050x,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -14464,87 +14464,87 @@ BT
 0 g 0 G
  [(work\051)]TJ
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+/F51 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
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  0 -19.564 Td [(x)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ
+/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 436.673 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 439.811 349.291 Td [(T)]TJ
+/F59 9.9626 Tf 439.811 349.291 Td [(T)]TJ
 ET
 q
 1 0 0 1 445.669 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
+/F59 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
 ET
 q
 1 0 0 1 470.356 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 473.495 349.291 Td [(type)]TJ
+/F59 9.9626 Tf 473.495 349.291 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(18)]TJ
 0 g 0 G
  [(.)]TJ
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-/F54 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
+/F51 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
 ET
 q
 1 0 0 1 171.218 317.971 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 174.207 317.772 Td [(a)]TJ
+/F51 9.9626 Tf 174.207 317.772 Td [(a)]TJ
 0 g 0 G
-/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 387.893 269.951 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 269.951 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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 0 g 0 G
 BT
-/F57 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
+/F54 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F57 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
+/F54 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
 0 g 0 G
 ET
 
@@ -14710,7 +14710,7 @@ Q
 0 g 0 G
 1 0 0 1 -104.053 -292.88 cm
 BT
-/F57 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
+/F54 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14887,61 +14887,61 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F57 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F55 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F54 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F52 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 289.521 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F88 10.3811 Tf 27.705 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
+/F52 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F85 10.3811 Tf 27.705 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 359.144 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F57 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
+/F52 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F54 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F55 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F52 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 169.703 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 172.986 606.194 Td [(x)]TJ
+/F52 9.9626 Tf 172.986 606.194 Td [(x)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F55 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F54 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F52 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 305.084 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F57 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F55 7.5716 Tf 5.963 0 Td [(m)]TJ/F57 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F55 7.5716 Tf 7.856 0 Td [(n)]TJ
+/F52 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F54 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F52 7.5716 Tf 5.963 0 Td [(m)]TJ/F54 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F52 7.5716 Tf 7.856 0 Td [(n)]TJ
 0 g 0 G
-/F55 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
+/F52 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 163.696 585.484 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
+/F52 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
 0 g 0 G
-/F57 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 234.034 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(.)]TJ
+/F54 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 234.034 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(.)]TJ
 0 g 0 G
-/F55 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
+/F52 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
 0 g 0 G
-/F57 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
+/F54 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14951,49 +14951,49 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F55 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F57 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F55 9.9626 Tf 4.276 0 Td [(y)]TJ/F54 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F52 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F54 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F52 9.9626 Tf 4.276 0 Td [(y)]TJ/F51 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 530.753 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
+/F54 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
 ET
 q
 1 0 0 1 373.603 522.385 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 510.429 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 498.474 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 486.519 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 474.564 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
+/F54 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
 ET
 q
 1 0 0 1 230.392 470.579 cm
@@ -15001,11 +15001,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
+/F59 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -15013,11 +15013,11 @@ BT
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
 0 g 0 G
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-/F54 9.9626 Tf -24.907 -22.127 Td [(On)-250(Return)]TJ
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  0 -20.135 Td [(desc)]TJ
@@ -16245,44 +16245,44 @@ q
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 Q
 BT
-/F54 9.9626 Tf 123.397 376.313 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 328.692 cm
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 Q
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-/F62 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
+/F59 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
 ET
 q
 1 0 0 1 333.945 328.692 cm
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 Q
 BT
-/F62 9.9626 Tf 337.084 328.492 Td [(type)]TJ
+/F59 9.9626 Tf 337.084 328.492 Td [(type)]TJ
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-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ
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 ET
 
@@ -16296,58 +16296,58 @@ stream
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-/F54 9.9626 Tf 0 -15.594 Td [(glob)]TJ
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 ET
 q
 1 0 0 1 218.61 637.283 cm
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 Q
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-/F54 9.9626 Tf 0 -15.594 Td [(nv)]TJ
+/F51 9.9626 Tf 0 -15.594 Td [(nv)]TJ
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-/F57 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F62 9.9626 Tf 111.052 0 Td [(pv)]TJ/F57 9.9626 Tf 10.461 0 Td [(;)]TJ
+/F54 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F59 9.9626 Tf 111.052 0 Td [(pv)]TJ/F54 9.9626 Tf 10.461 0 Td [(;)]TJ
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-/F54 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
+/F51 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
 0 g 0 G
-/F57 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F86 10.3811 Tf 270.063 0 Td [(\024)]TJ/F55 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F88 10.3811 Tf 10.461 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F64 10.3811 Tf 8.665 0 Td [(<)]TJ/F55 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F57 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F55 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F64 10.3811 Tf 15.409 0 Td [(>)]TJ/F57 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
+/F54 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F83 10.3811 Tf 270.063 0 Td [(\024)]TJ/F52 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F85 10.3811 Tf 10.461 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F61 10.3811 Tf 8.665 0 Td [(<)]TJ/F52 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F54 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F52 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F61 10.3811 Tf 15.409 0 Td [(>)]TJ/F54 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
+/F51 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
 0 g 0 G
-/F57 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F62 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F57 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F55 9.9626 Tf 58.923 0 Td [(i)]TJ/F86 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F57 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F86 10.3811 Tf 13.449 0 Td [(g)]TJ/F57 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F55 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F88 10.3811 Tf 10.68 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F62 9.9626 Tf 61.203 0 Td [(vg)]TJ/F57 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F88 10.3811 Tf 226.209 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.888 0 Td [(\000)]TJ/F57 9.9626 Tf 10.515 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 7.678 0 Td [(or)]TJ/F88 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F88 10.3811 Tf 11.566 0 Td [(\051)]TJ/F57 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F62 9.9626 Tf 113.068 0 Td [(flag)]TJ/F57 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F55 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F62 9.9626 Tf 144.092 0 Td [(mg)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F62 9.9626 Tf 29.937 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F62 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)]TJ
+/F54 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F59 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F54 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F52 9.9626 Tf 58.923 0 Td [(i)]TJ/F83 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F54 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F83 10.3811 Tf 13.449 0 Td [(g)]TJ/F54 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F52 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F85 10.3811 Tf 10.68 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F59 9.9626 Tf 61.203 0 Td [(vg)]TJ/F54 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F85 10.3811 Tf 226.209 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.888 0 Td [(\000)]TJ/F54 9.9626 Tf 10.515 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 7.678 0 Td [(or)]TJ/F85 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F85 10.3811 Tf 11.566 0 Td [(\051)]TJ/F54 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F59 9.9626 Tf 113.068 0 Td [(flag)]TJ/F54 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F52 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F59 9.9626 Tf 144.092 0 Td [(mg)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F59 9.9626 Tf 29.937 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F59 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
+/F51 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F62 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F57 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F55 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F62 9.9626 Tf 259.368 0 Td [(vl)]TJ/F57 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F62 9.9626 Tf 88.319 0 Td [(nl)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F62 9.9626 Tf 185.156 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F62 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F62 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F88 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F88 10.3811 Tf 13.449 0 Td [(\051)]TJ/F57 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F62 9.9626 Tf 122.836 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F62 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
+/F54 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F59 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F54 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F52 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F59 9.9626 Tf 259.368 0 Td [(vl)]TJ/F54 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F59 9.9626 Tf 88.319 0 Td [(nl)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F59 9.9626 Tf 185.156 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F59 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F59 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F85 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F85 10.3811 Tf 13.449 0 Td [(\051)]TJ/F54 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F59 9.9626 Tf 122.836 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F59 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
+/F51 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
 0 g 0 G
-/F57 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F62 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F62 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F57 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F62 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F57 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F62 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F62 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F62 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 50.355 0 Td [(and)]TJ/F62 9.9626 Tf 20.148 0 Td [(local)]TJ/F57 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F62 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
+/F54 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F59 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F59 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F54 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F59 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F54 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F59 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F59 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F59 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 50.355 0 Td [(and)]TJ/F59 9.9626 Tf 20.148 0 Td [(local)]TJ/F54 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F59 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(2.3.1)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
+/F51 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F62 9.9626 Tf 223.432 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F55 9.9626 Tf 257.148 0 Td [(I)]TJ/F57 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F55 9.9626 Tf 135.186 0 Td [(N)]TJ/F55 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F88 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F57 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
+/F54 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F59 9.9626 Tf 223.432 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F52 9.9626 Tf 257.148 0 Td [(I)]TJ/F54 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F52 9.9626 Tf 135.186 0 Td [(N)]TJ/F52 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F85 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F54 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
+/F51 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
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-/F57 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
+/F54 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
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  -34.371 -19.579 Td [(2.)]TJ
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@@ -16368,25 +16368,25 @@ stream
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 BT
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+/F54 9.9626 Tf 112.349 706.129 Td [(3.)]TJ
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- [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F62 9.9626 Tf 120.886 0 Td [(vg)]TJ/F57 9.9626 Tf 13.052 0 Td [(or)]TJ/F62 9.9626 Tf 11.965 0 Td [(parts)]TJ/F57 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
+ [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F59 9.9626 Tf 120.886 0 Td [(vg)]TJ/F54 9.9626 Tf 13.052 0 Td [(or)]TJ/F59 9.9626 Tf 11.965 0 Td [(parts)]TJ/F54 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
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- [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F62 9.9626 Tf 201.093 0 Td [(parts)]TJ/F57 9.9626 Tf 28.643 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(vl)]TJ/F57 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
+ [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F59 9.9626 Tf 201.093 0 Td [(parts)]TJ/F54 9.9626 Tf 28.643 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(vl)]TJ/F54 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F62 9.9626 Tf 209.973 0 Td [(vl)]TJ/F57 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F59 9.9626 Tf 209.973 0 Td [(vl)]TJ/F54 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
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+ [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F59 9.9626 Tf 121.164 0 Td [(nl)]TJ/F54 9.9626 Tf 12.951 0 Td [(\050alone\051,)-250(or)]TJ/F59 9.9626 Tf 47.372 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(.)]TJ
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@@ -16402,46 +16402,46 @@ stream
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 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
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 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
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+/F54 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(points)-250(being)-250(inserted.)]TJ 8.857 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ
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+/F54 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
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-/F54 9.9626 Tf -207.221 -19.304 Td [(mask)]TJ
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+/F54 9.9626 Tf 29.33 0 Td [(Mask)-247(entries)-248(in)]TJ/F59 9.9626 Tf 69.91 0 Td [(ja)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-248(they)-247(ar)18(e)-248(inserted)-247(only)-248(when)-247(the)-247(corr)18(esponding)]TJ/F59 9.9626 Tf 213.089 0 Td [(mask)]TJ/F54 9.9626 Tf -297.883 -11.956 Td [(entries)-250(ar)18(e)]TJ/F59 9.9626 Tf 48.139 0 Td [(.true.)]TJ/F54 9.9626 Tf -48.139 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 164.297 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(,)-250(default)]TJ/F59 9.9626 Tf 38.784 0 Td [(.true.)]TJ/F54 9.9626 Tf 31.382 0 Td [(.)]TJ
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-/F54 9.9626 Tf -269.706 -19.305 Td [(lidx)]TJ
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-/F57 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F62 9.9626 Tf 131.117 0 Td [(ja)]TJ/F57 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
+/F54 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F59 9.9626 Tf 131.117 0 Td [(ja)]TJ/F54 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.305 Td [(desc)]TJ
@@ -16451,27 +16451,27 @@ q
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 0 g 0 G
-/F57 9.9626 Tf 9.962 0 Td [(the)-250(updated)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 360.068 120.525 cm
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 Q
 BT
-/F62 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 120.525 cm
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-/F62 9.9626 Tf 387.893 120.326 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 120.326 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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  -91.236 -29.888 Td [(74)]TJ
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@@ -16488,19 +16488,19 @@ stream
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 BT
-/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ
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-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ
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-/F57 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
+/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ
+/F51 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ
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+/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ/F51 11.9552 Tf -207.221 -21.918 Td [(Notes)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ
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  [-500(This)-250(r)18(outine)-250(may)-250(only)-250(be)-250(called)-250(if)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(build)-250(state;)]TJ
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@@ -16530,23 +16530,23 @@ stream
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 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
 0 g 0 G
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-/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
+/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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@@ -16556,61 +16556,61 @@ q
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+/F51 9.9626 Tf 174.207 625.397 Td [(a)]TJ
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-/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 577.775 cm
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-/F62 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
 ET
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 1 0 0 1 384.755 577.775 cm
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-/F62 9.9626 Tf 387.893 577.576 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 577.576 Td [(type)]TJ
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-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F54 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
+/F51 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
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-/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F62 9.9626 Tf 221.926 0 Td [(psb)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F59 9.9626 Tf 221.926 0 Td [(psb)]TJ
 ET
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 1 0 0 1 413.855 510.029 cm
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 Q
 BT
-/F62 9.9626 Tf 416.994 509.83 Td [(T)]TJ
+/F59 9.9626 Tf 416.994 509.83 Td [(T)]TJ
 ET
 q
 1 0 0 1 422.851 510.029 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 425.99 509.83 Td [(base)]TJ
+/F59 9.9626 Tf 425.99 509.83 Td [(base)]TJ
 ET
 q
 1 0 0 1 447.539 510.029 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
+/F59 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
 ET
 q
 1 0 0 1 472.226 510.029 cm
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 Q
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-/F62 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F59 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(desc)]TJ
@@ -16620,35 +16620,35 @@ q
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-/F54 9.9626 Tf 174.207 467.987 Td [(a)]TJ
+/F51 9.9626 Tf 174.207 467.987 Td [(a)]TJ
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diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex
index 8a8effef..5c1a6c8f 100644
--- a/docs/src/toolsrout.tex
+++ b/docs/src/toolsrout.tex
@@ -547,7 +547,7 @@ An integer value; 0 means no error has been detected.
 \clearpage\subsection{psb\_spall --- Allocates a sparse matrix}
 
 \begin{verbatim}
-call psb_spall(a, desc_a, info, nnz, buildmode)
+call psb_spall(a, desc_a, info [, nnz, dupl, buildmode])
 \end{verbatim}
 
 \begin{description}
@@ -564,6 +564,12 @@ Scope: {\bf global}.\\
 Type: {\bf optional}.\\
 Intent: {\bf in}.\\
 Specified as: an integer value. 
+\item[dupl] How to handle duplicate coefficients.\\
+Scope: {\bf global}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
+\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
 \item[buildmode] Whether to keep track of matrix entries that do not
   belong to the current process.\\ 
 Scope: {\bf global}.\\
@@ -733,7 +739,7 @@ An integer value; 0 means no error has been detected.
 \clearpage\subsection{psb\_spasb --- Sparse matrix assembly routine}
 
 \begin{verbatim}
-call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
+call psb_spasb(a, desc_a, info, afmt, upd,  mold)
 \end{verbatim}
 
 \begin{description}
@@ -754,12 +760,6 @@ Scope: {\bf global}.\\
 Type: {\bf optional}.\\
 Intent: {\bf in}.\\
 Specified as: integer, possible values: \verb|psb_upd_srch_|, \verb|psb_upd_perm_|
-\item[dupl] How to handle duplicate coefficients.\\
-Scope: {\bf global}.\\
-Type: {\bf optional}.\\
-Intent: {\bf in}.\\
-Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
-\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
 \item[mold] The desired dynamic type for the internal matrix storage.\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
@@ -979,7 +979,7 @@ An integer value; 0 means no error has been detected.
 %\addcontentsline{toc}{subsection}{psb\_geall}
 
 \begin{verbatim}
-call psb_geall(x, desc_a, info, n, lb)
+call psb_geall(x, desc_a, info[, dupl, bldmode, n, lb])
 \end{verbatim}
 
 \begin{description}
@@ -1002,6 +1002,19 @@ Type: {\bf optional}\\
 Intent: {\bf in}.\\
 Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a
 rank-1 array. 
+\item[dupl] How to handle duplicate coefficients.\\
+Scope: {\bf global}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
+\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
+\item[buildmode] Whether to keep track of matrix entries that do not
+  belong to the current process.\\ 
+Scope: {\bf global}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: an integer value \verb|psb_matbld_noremote_|,
+\verb|psb_matbld_remote_|.  Default:  \verb|psb_matbld_noremote_|.
 \end{description}
 
 \begin{description}
@@ -1027,7 +1040,7 @@ An integer value; 0 means no error has been detected.
 %\addcontentsline{toc}{subsection}{psb\_geins}
 
 \begin{verbatim}
-call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
+call psb_geins(m, irw, val, x, desc_a, info [,local])
 \end{verbatim}
 
 \begin{description}
@@ -1056,12 +1069,6 @@ Scope:{\bf local}.\\
 Type:{\bf required}.\\
 Intent: {\bf in}.\\
 Specified as: a structured data of type \descdata.
-\item[dupl] How to handle duplicate coefficients.\\
-Scope: {\bf global}.\\
-Type: {\bf optional}.\\
-Intent: {\bf in}.\\
-Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
-\verb|psb_dupl_add_|.
 \item[local] Whether the entries in the index vector \verb|irw|,
    are already in local  numbering. \\
  Scope:{\bf local}.\\