psblas3:

base/internals/psi_idx_ins_cnv.f90 base/modules/psb_base_tools_mod.f90 base/modules/psb_gen_block_map_mod.f90 base/modules/psb_hash_map_mod.f90 base/modules/psb_indx_map_mod.f90 base/modules/psb_list_map_mod.f90 base/modules/psb_repl_map_mod.f90 base/modules/psi_i_mod.f90 base/tools/psb_cdins.f90 docs/html/footnode.html docs/html/index.html docs/html/node1.html docs/html/node10.html docs/html/node100.html docs/html/node101.html docs/html/node102.html docs/html/node103.html docs/html/node104.html docs/html/node105.html docs/html/node106.html docs/html/node107.html docs/html/node108.html docs/html/node109.html docs/html/node11.html docs/html/node110.html docs/html/node111.html docs/html/node112.html docs/html/node113.html docs/html/node114.html docs/html/node115.html docs/html/node116.html docs/html/node117.html docs/html/node118.html docs/html/node119.html docs/html/node12.html docs/html/node120.html docs/html/node13.html docs/html/node14.html docs/html/node15.html docs/html/node16.html docs/html/node17.html docs/html/node18.html docs/html/node19.html docs/html/node2.html docs/html/node20.html docs/html/node21.html docs/html/node22.html docs/html/node23.html docs/html/node24.html docs/html/node25.html docs/html/node26.html docs/html/node27.html docs/html/node28.html docs/html/node29.html docs/html/node3.html docs/html/node30.html docs/html/node31.html docs/html/node32.html docs/html/node33.html docs/html/node34.html docs/html/node35.html docs/html/node36.html docs/html/node37.html docs/html/node38.html docs/html/node39.html docs/html/node4.html docs/html/node40.html docs/html/node41.html docs/html/node42.html docs/html/node43.html docs/html/node44.html docs/html/node45.html docs/html/node46.html docs/html/node47.html docs/html/node48.html docs/html/node49.html docs/html/node5.html docs/html/node50.html docs/html/node51.html docs/html/node52.html docs/html/node53.html docs/html/node54.html docs/html/node55.html docs/html/node56.html docs/html/node57.html docs/html/node58.html docs/html/node59.html docs/html/node6.html docs/html/node60.html docs/html/node61.html docs/html/node62.html docs/html/node63.html docs/html/node64.html docs/html/node65.html docs/html/node66.html docs/html/node67.html docs/html/node68.html docs/html/node69.html docs/html/node7.html docs/html/node70.html docs/html/node71.html docs/html/node72.html docs/html/node73.html docs/html/node74.html docs/html/node75.html docs/html/node76.html docs/html/node77.html docs/html/node78.html docs/html/node79.html docs/html/node8.html docs/html/node80.html docs/html/node81.html docs/html/node82.html docs/html/node83.html docs/html/node84.html docs/html/node85.html docs/html/node86.html docs/html/node87.html docs/html/node88.html docs/html/node89.html docs/html/node9.html docs/html/node90.html docs/html/node91.html docs/html/node92.html docs/html/node93.html docs/html/node94.html docs/html/node95.html docs/html/node96.html docs/html/node97.html docs/html/node98.html docs/html/node99.html docs/html/userhtml.html docs/psblas-3.0.pdf docs/src/intro.tex New docs for LIDX. New LIDX parm in idx_cnv_ins.
2026-10-16 10:52:08 +00:00 · 2012-04-17 16:49:25 +00:00
parent 4accecb0c9
commit fe85dcc848
134 changed files with 15319 additions and 14743 deletions
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
  Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 <HTML>
 <HEAD>
-<TITLE>psb_spsm -- Triangular System Solve</TITLE>
-<META NAME="description" CONTENT="psb_spsm -- Triangular System Solve">
+<TITLE>psb_spmm -- Sparse Matrix by Dense Matrix Product</TITLE>
+<META NAME="description" CONTENT="psb_spmm -- Sparse Matrix by Dense Matrix Product">
 <META NAME="keywords" CONTENT="userhtml">
 <META NAME="resource-type" CONTENT="document">
 <META NAME="distribution" CONTENT="global">
@@ -18,71 +18,104 @@ original version by:  Nikos Drakos, CBLU, University of Leeds

 <LINK REL="STYLESHEET" HREF="userhtml.css">

+<LINK REL="next" HREF="node50.html">
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-  HREF="node48.html">psb_spmm   Sparse</A>
- &nbsp; <B>  <A NAME="tex2html809"
+<B> Next:</B> <A NAME="tex2html814"
+  HREF="node50.html">psb_spsm   Triangular</A>
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+  HREF="node37.html">Computational routines</A>
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-<H2><A NAME="SECTION000513000000000000000">
-psb_spsm -- Triangular System Solve</A>
+<H2><A NAME="SECTION000512000000000000000">
+psb_spmm -- Sparse Matrix by Dense Matrix Product</A>
 </H2>

 <P>
-This subroutine computes the Triangular System Solve:
+This subroutine computes the Sparse Matrix by Dense Matrix Product:

 <P>
-<P></P>
-<DIV ALIGN="CENTER">
+<BR>
+<DIV ALIGN="RIGHT">
+
 <!-- MATH
- \begin{eqnarray*}
-y &\leftarrow& \alpha  T^{-1}  x + \beta y\\
-y &\leftarrow& \alpha D  T^{-1}  x + \beta y\\
-y &\leftarrow& \alpha  T^{-1}  D x + \beta y\\
-y &\leftarrow& \alpha  T^{-T}  x + \beta y\\
-y &\leftarrow& \alpha D  T^{-T}  x + \beta y\\
-y &\leftarrow& \alpha  T^{-T}  D x + \beta y\\
-y &\leftarrow& \alpha  T^{-H}  x + \beta y\\
-y &\leftarrow& \alpha D  T^{-H}  x + \beta y\\
-y &\leftarrow& \alpha  T^{-H}  D x + \beta y\\
-\end{eqnarray*}
+ \begin{equation}
+y \leftarrow \alpha  A  x + \beta y
+\end{equation}
 -->
-<IMG
- WIDTH="160" HEIGHT="239" BORDER="0"
- SRC="img50.png"
- ALT="\begin{eqnarray*}
-y &amp;\leftarrow&amp; \alpha T^{-1} x + \beta y\\
-y &amp;\leftarrow&amp; \al...
-...-H} x + \beta y\\
-y &amp;\leftarrow&amp; \alpha T^{-H} D x + \beta y\\
-\end{eqnarray*}"></DIV>
-<BR CLEAR="ALL"><P></P>
+<TABLE WIDTH="100%" ALIGN="CENTER">
+<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG
+ WIDTH="102" HEIGHT="27" BORDER="0"
+ SRC="img44.png"
+ ALT="\begin{displaymath}
+y \leftarrow \alpha A x + \beta y
+\end{displaymath}"></TD>
+<TD WIDTH=10 ALIGN="RIGHT">
+(1)</TD></TR>
+</TABLE>
+<BR CLEAR="ALL"></DIV><P></P>
+<BR>
+<DIV ALIGN="RIGHT">
+
+<!-- MATH
+ \begin{equation}
+y \leftarrow \alpha  A^T x + \beta y
+\end{equation}
+ -->
+<TABLE WIDTH="100%" ALIGN="CENTER">
+<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
+ WIDTH="112" HEIGHT="27" BORDER="0"
+ SRC="img45.png"
+ ALT="\begin{displaymath}
+y \leftarrow \alpha A^T x + \beta y
+\end{displaymath}"></TD>
+<TD WIDTH=10 ALIGN="RIGHT">
+(2)</TD></TR>
+</TABLE>
+<BR CLEAR="ALL"></DIV><P></P>
+<BR>
+<DIV ALIGN="RIGHT">
+
+<!-- MATH
+ \begin{equation}
+y \leftarrow \alpha  A^H  x + \beta y
+\end{equation}
+ -->
+<TABLE WIDTH="100%" ALIGN="CENTER">
+<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG
+ WIDTH="114" HEIGHT="27" BORDER="0"
+ SRC="img46.png"
+ ALT="\begin{displaymath}
+y \leftarrow \alpha A^H x + \beta y
+\end{displaymath}"></TD>
+<TD WIDTH=10 ALIGN="RIGHT">
+(3)</TD></TR>
+</TABLE>
+<BR CLEAR="ALL"></DIV><P></P>

 <P>
 where:
@@ -107,50 +140,34 @@ where:
 </DD>
 <DT><STRONG><IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img51.png"
- ALT="$T$"></STRONG></DT>
-<DD>is the global sparse block triangular submatrix <IMG
+ SRC="img1.png"
+ ALT="$A$"></STRONG></DT>
+<DD>is the global sparse matrix <IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img51.png"
- ALT="$T$">
-</DD>
-<DT><STRONG><IMG
- WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img52.png"
- ALT="$D$"></STRONG></DT>
-<DD>is the scaling diagonal matrix.
+ SRC="img1.png"
+ ALT="$A$">
 </DD>
 </DL>

-<P>
-<PRE>
-call psb_spsm(alpha, t, x, beta, y, desc_a, info)
-call psb_spsm(alpha, t, x, beta, y, desc_a, info,&amp;
-             &amp; trans, unit, choice, diag, work)
-</PRE> 
-
 <P>
 <BR><P></P>
-<DIV ALIGN="CENTER"><A NAME="1547"></A>
+<DIV ALIGN="CENTER"><A NAME="1567"></A>
 <TABLE>
-<CAPTION><STRONG>Table 13:</STRONG>
+<CAPTION><STRONG>Table 12:</STRONG>
 Data types</CAPTION>
 <TR><TD>
 <DIV ALIGN="CENTER">
 <TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
 <TR><TD ALIGN="LEFT"><IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img51.png"
- ALT="$T$">, <IMG
+ SRC="img1.png"
+ ALT="$A$">, <IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$">, <IMG
 WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.png"
 ALT="$y$">, <IMG
- WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img52.png"
- ALT="$D$">, <IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img22.png"
 ALT="$\alpha$">, <IMG
@@ -160,16 +177,16 @@ Data types</CAPTION>
 <TD ALIGN="LEFT"><B>Subroutine</B></TD>
 </TR>
 <TR><TD ALIGN="LEFT">Short Precision Real</TD>
-<TD ALIGN="LEFT">psb_spsm</TD>
+<TD ALIGN="LEFT">psb_spmm</TD>
 </TR>
 <TR><TD ALIGN="LEFT">Long Precision Real</TD>
-<TD ALIGN="LEFT">psb_spsm</TD>
+<TD ALIGN="LEFT">psb_spmm</TD>
 </TR>
 <TR><TD ALIGN="LEFT">Short Precision Complex</TD>
-<TD ALIGN="LEFT">psb_spsm</TD>
+<TD ALIGN="LEFT">psb_spmm</TD>
 </TR>
 <TR><TD ALIGN="LEFT">Long Precision Complex</TD>
-<TD ALIGN="LEFT">psb_spsm</TD>
+<TD ALIGN="LEFT">psb_spmm</TD>
 </TR>
 </TABLE>
 </DIV>
@@ -178,6 +195,13 @@ Data types</CAPTION>
 </DIV><P></P>
 <BR>

+<P>
+<PRE>
+call psb_spmm(alpha, a, x, beta, y, desc_a, info)
+call psb_spmm(alpha, a, x, beta, y,desc_a, info, &amp;
+             &amp; trans, work)
+</PRE> 
+
 <P>
 <DL>
 <DT><STRONG>Type:</STRONG></DT>
@@ -199,14 +223,14 @@ Type: <B>required</B>
 Intent: <B>in</B>.
 <BR>
 Specified as: a number of the data type indicated in
-Table&nbsp;<A HREF="#tab:f90spsm">13</A>.
+Table&nbsp;<A HREF="#tab:f90spmm">12</A>. 
 </DD>
-<DT><STRONG>t</STRONG></DT>
-<DD>the global portion of the sparse matrix
+<DT><STRONG>a</STRONG></DT>
+<DD>the local portion of the sparse matrix
 <IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img51.png"
- ALT="$T$">.  
+ SRC="img1.png"
+ ALT="$A$">. 
 <BR>
 Scope: <B>local</B> 
 <BR>
@@ -214,8 +238,7 @@ Type: <B>required</B>
 <BR>
 Intent: <B>in</B>.
 <BR>
-Specified as: an object type specified in
-&#167;&nbsp;<A HREF="node8.html#sec:datastruct">3</A>.
+Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
 </DD>
 <DT><STRONG>x</STRONG></DT>
 <DD>the local portion of global dense matrix
@@ -233,7 +256,7 @@ Intent: <B>in</B>.
 <BR>
 Specified as:  a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> 
 containing numbers of type specified in
-Table&nbsp;<A HREF="#tab:f90spsm">13</A>.  The rank of <IMG
+Table&nbsp;<A HREF="#tab:f90spmm">12</A>.  The rank of <IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
 ALT="$x$"> must be the same of <IMG
@@ -253,7 +276,7 @@ Type: <B>required</B>
 <BR>
 Intent: <B>in</B>.
 <BR>
-Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f90spsm">13</A>.
+Specified as: a number of the data type indicated in Table&nbsp;<A HREF="#tab:f90spmm">12</A>.
 </DD>
 <DT><STRONG>y</STRONG></DT>
 <DD>the local portion of global dense matrix
@@ -271,7 +294,7 @@ Intent: <B>inout</B>.
 <BR>
 Specified as:  a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT> 
 containing numbers of type specified in
-Table&nbsp;<A HREF="#tab:f90spsm">13</A>. The rank of <IMG
+Table&nbsp;<A HREF="#tab:f90spmm">12</A>. The rank of <IMG
 WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.png"
 ALT="$y$"> must be the same of <IMG
@@ -291,16 +314,18 @@ Intent: <B>in</B>.
 Specified as: an object of type descdata<TT>psb_desc_type</TT>.
 </DD>
 <DT><STRONG>trans</STRONG></DT>
-<DD>specify with <EM>unitd</EM> the operation to perform.
+<DD>indicates what kind of operation to perform.
 <DL>
-<DT><STRONG>trans = 'N'</STRONG></DT>
-<DD>the operation is with no transposed matrix
+<DT><STRONG>trans = N</STRONG></DT>
+<DD>the operation is specified by equation <A HREF="#eq:f90spmm_no_tra">1</A>
 </DD>
-<DT><STRONG>trans = 'T'</STRONG></DT>
-<DD>the operation is with transposed matrix.
+<DT><STRONG>trans = T</STRONG></DT>
+<DD>the operation is specified by equation
+<A HREF="#eq:f90spmm_tra">2</A>
 </DD>
-<DT><STRONG>trans = 'C'</STRONG></DT>
-<DD>the operation is with conjugate transposed matrix.
+<DT><STRONG>trans = C</STRONG></DT>
+<DD>the operation is specified by equation
+<A HREF="#eq:f90spmm_con">3</A>
 </DD>
 </DL>
 Scope: <B>global</B> 
@@ -315,82 +340,11 @@ Default: <IMG
 ALT="$trans = N$">
 <BR>
 Specified as: a character variable.
-</DD>
-<DT><STRONG>unitd</STRONG></DT>
-<DD>specify with <EM>trans</EM> the operation to perform.
-<DL>
-<DT><STRONG>unitd = 'U'</STRONG></DT>
-<DD>the operation is with no scaling
-</DD>
-<DT><STRONG>unitd = 'L'</STRONG></DT>
-<DD>the operation is with left scaling
-</DD>
-<DT><STRONG>unitd = 'R'</STRONG></DT>
-<DD>the operation is with right scaling.
-</DD>
-</DL>
-Scope: <B>global</B> 
-<BR>
-Type: <B>optional</B>
-<BR>
-Intent: <B>in</B>.
-<BR>
-Default: <IMG
- WIDTH="76" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
- SRC="img53.png"
- ALT="$unitd = U$">
-<BR>
-Specified as: a character variable.
-</DD>
-<DT><STRONG>choice</STRONG></DT>
-<DD>specifies the update of overlap elements to be performed
-  on exit:
-<DL>
-<DT></DT>
-<DD><code>psb_none_</code>
-</DD>
-<DT></DT>
-<DD><code>psb_sum_</code>
-</DD>
-<DT></DT>
-<DD><code>psb_avg_</code>
-</DD>
-<DT></DT>
-<DD><code>psb_square_root_</code>
-</DD>
-</DL>
-Scope: <B>global</B> 
-<BR>
-Type: <B>optional</B>
-<BR>
-Intent: <B>in</B>.
-<BR>
-Default: <code>psb_avg_</code>
-<BR>
-Specified as: an integer variable.
-</DD>
-<DT><STRONG>diag</STRONG></DT>
-<DD>the diagonal scaling matrix.
-<BR>
-Scope: <B>local</B> 
-<BR>
-Type: <B>optional</B>
-<BR>
-Intent: <B>in</B>.
-<BR>
-Default: <!-- MATH
- $diag(1) = 1 (no scaling)$
- -->
-<IMG
- WIDTH="164" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
- SRC="img54.png"
- ALT="$diag(1) = 1 (no scaling)$">
-<BR>
-Specified as: a rank one  array containing numbers of the type
-indicated in Table&nbsp;<A HREF="#tab:f90spsm">13</A>.
+
+<P>
 </DD>
 <DT><STRONG>work</STRONG></DT>
-<DD>a work array. 
+<DD>work array.
 <BR>
 Scope: <B>local</B> 
 <BR>
@@ -401,8 +355,11 @@ Intent: <B>inout</B>.
 Specified as: a rank one array of the same type of <IMG
 WIDTH="13" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="img20.png"
- ALT="$x$"> with the
-TARGET attribute. 
+ ALT="$x$"> and <IMG
+ WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
+ SRC="img21.png"
+ ALT="$y$"> with
+the TARGET attribute. 

 <P>
 </DD>
@@ -410,12 +367,10 @@ TARGET attribute.
 <DD>
 </DD>
 <DT><STRONG>y</STRONG></DT>
-<DD>the local portion of global dense matrix
-<IMG
+<DD>the local portion of result matrix <IMG
 WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="img21.png"
- ALT="$y$">. 
-
+ ALT="$y$">.
 <BR>
 Scope: <B>local</B> 
 <BR>
@@ -425,7 +380,7 @@ Intent: <B>inout</B>.
 <BR>
 Specified as: an array of rank one or two
 containing numbers of type specified in
-Table&nbsp;<A HREF="#tab:f90spsm">13</A>.
+Table&nbsp;<A HREF="#tab:f90spmm">12</A>.
 </DD>
 <DT><STRONG>info</STRONG></DT>
 <DD>Error code.
@@ -443,26 +398,26 @@ An integer value; 0 means no error has been detected.
 <P>
 <HR>
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