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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
"http://www.w3.org/TR/html4/loose.dtd">
<html >
<head><title>psb_spmm — Sparse Matrix by Dense Matrix Product</title>
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>
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<h4 class="subsectionHead"><span class="titlemark">4.12 </span> <a
id="x30-670004.12"></a>psb_spmm — Sparse Matrix by Dense Matrix Product</h4>
<!--l. 933--><p class="noindent" >This subroutine computes the Sparse Matrix by Dense Matrix Product:
<table
class="equation"><tr><td>
<center class="math-display" >
<img
src="userhtml18x.png" alt="y ← αAx + βy
" class="math-display" ><a
id="x30-67001r1"></a></center></td><td class="equation-label">(1)</td></tr></table>
<!--l. 938--><p class="nopar" >
<table
class="equation"><tr><td>
<center class="math-display" >
<img
src="userhtml19x.png" alt="y ← αAT x+ βy
" class="math-display" ><a
id="x30-67002r2"></a></center></td><td class="equation-label">(2)</td></tr></table>
<!--l. 942--><p class="nopar" >
<table
class="equation"><tr><td>
<center class="math-display" >
<img
src="userhtml20x.png" alt=" H
y ← αA x+ βy
" class="math-display" ><a
id="x30-67003r3"></a></center></td><td class="equation-label">(3)</td></tr></table>
<!--l. 946--><p class="nopar" >
<!--l. 948--><p class="indent" > where:
<dl class="description"><dt class="description">
<span
class="cmmi-10">x</span> </dt><dd
class="description">is the global dense matrix <span
class="cmmi-10">x</span><sub><span
class="cmr-7">:</span><span
class="cmmi-7">,</span><span
class="cmr-7">:</span></sub>
</dd><dt class="description">
<span
class="cmmi-10">y</span> </dt><dd
class="description">is the global dense matrix <span
class="cmmi-10">y</span><sub><span
class="cmr-7">:</span><span
class="cmmi-7">,</span><span
class="cmr-7">:</span></sub>
</dd><dt class="description">
<span
class="cmmi-10">A</span> </dt><dd
class="description">is the global sparse matrix <span
class="cmmi-10">A</span></dd></dl>
<div class="table">
<!--l. 955--><p class="indent" > <a
id="x30-67004r12"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 956--><p class="noindent" >
<div class="tabular"> <table id="TBL-12" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-12-1g"><col
id="TBL-12-1"><col
id="TBL-12-2"></colgroup><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-12-1-"><td style="white-space:nowrap; text-align:left;" id="TBL-12-1-1"
class="td11"><span
class="cmmi-10">A</span>, <span
class="cmmi-10">x</span>, <span
class="cmmi-10">y</span>, <span
class="cmmi-10">α</span>, <span
class="cmmi-10">β </span></td><td style="white-space:nowrap; text-align:left;" id="TBL-12-1-2"
class="td11"><span
class="cmbx-10">Subroutine</span></td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-12-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-12-2-1"
class="td11">Short Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-12-2-2"
class="td11">psb_spmm </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-12-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-12-3-1"
class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-12-3-2"
class="td11">psb_spmm </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-12-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-12-4-1"
class="td11">Short Precision Complex</td><td style="white-space:nowrap; text-align:left;" id="TBL-12-4-2"
class="td11">psb_spmm </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-12-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-12-5-1"
class="td11">Long Precision Complex </td><td style="white-space:nowrap; text-align:left;" id="TBL-12-5-2"
class="td11">psb_spmm </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-12-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-12-6-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table 12: </span><span
class="content">Data types</span></div><!--tex4ht:label?: x30-67004r12 -->
</div><hr class="endfloat" />
</div>
<!--l. 971--><p class="indent" > <span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10"> </span><span
class="cmtt-10">psb_spmm</span><span
class="cmtt-10">(</span><span
class="cmtt-10">alpha</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">a</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">x</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">beta</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">y</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">info</span><span
class="cmtt-10">)</span><br
class="newline" /><span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10"> </span><span
class="cmtt-10">psb_spmm</span><span
class="cmtt-10">(</span><span
class="cmtt-10">alpha</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">a</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">x</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">beta</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">y</span><span
class="cmtt-10">,</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">info</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">trans</span><span
class="cmtt-10">,</span><span
class="cmtt-10"> </span><span
class="cmtt-10">work</span><span
class="cmtt-10">)</span>
<dl class="description"><dt class="description">
<span
class="cmbx-10">Type:</span> </dt><dd
class="description">Synchronous.
</dd><dt class="description">
<span
class="cmbx-10">On Entry</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">alpha</span> </dt><dd
class="description">the scalar <span
class="cmmi-10">α</span>.<br
class="newline" />Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">required</span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a number of the data type indicated in Table <a
href="#x30-67004r12">12<!--tex4ht:ref: tab:f90spmm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">a</span> </dt><dd
class="description">the local portion of the sparse matrix <span
class="cmmi-10">A</span>. <br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required</span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: an object of type <a
href="userhtmlsu6.html#spdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_Tspmat</span><span
class="cmtt-10">_type</span></a>.
</dd><dt class="description">
<span
class="cmbx-10">x</span> </dt><dd
class="description">the local portion of global dense matrix <span
class="cmmi-10">x</span>. <br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a rank one or two array or an object of type
<a
href="userhtmlsu7.html#vdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_T</span><span
class="cmtt-10">_vect</span><span
class="cmtt-10">_type</span></a> containing numbers of type specified in Table <a
href="#x30-67004r12">12<!--tex4ht:ref: tab:f90spmm --></a>. The
rank of <span
class="cmmi-10">x </span>must be the same of <span
class="cmmi-10">y</span>.
</dd><dt class="description">
<span
class="cmbx-10">beta</span> </dt><dd
class="description">the scalar <span
class="cmmi-10">β</span>.<br
class="newline" />Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: a number of the data type indicated in Table <a
href="#x30-67004r12">12<!--tex4ht:ref: tab:f90spmm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">y</span> </dt><dd
class="description">the local portion of global dense matrix <span
class="cmmi-10">y</span>. <br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">inout</span>.<br
class="newline" />Specified as: a rank one or two array or an object of type
<a
href="userhtmlsu7.html#vdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_T</span><span
class="cmtt-10">_vect</span><span
class="cmtt-10">_type</span></a> containing numbers of type specified in Table <a
href="#x30-67004r12">12<!--tex4ht:ref: tab:f90spmm --></a>. The
rank of <span
class="cmmi-10">y </span>must be the same of <span
class="cmmi-10">x</span>.
</dd><dt class="description">
<span
class="cmbx-10">desc</span><span
class="cmbx-10">_a</span> </dt><dd
class="description">contains data structures for communications.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required</span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Specified as: an object of type <a
href="userhtmlsu5.html#descdata"><span
class="cmtt-10">psb</span><span
class="cmtt-10">_desc</span><span
class="cmtt-10">_type</span></a>.
</dd><dt class="description">
<span
class="cmbx-10">trans</span> </dt><dd
class="description">indicates what kind of operation to perform.
<dl class="description"><dt class="description">
<span
class="cmbx-10">trans = N</span> </dt><dd
class="description">the operation is specified by equation <a
href="#x30-67001r1">1<!--tex4ht:ref: eq:f90spmm_no_tra --></a>
</dd><dt class="description">
<span
class="cmbx-10">trans = T</span> </dt><dd
class="description">the operation is specified by equation <a
href="#x30-67002r2">2<!--tex4ht:ref: eq:f90spmm_tra --></a>
</dd><dt class="description">
<span
class="cmbx-10">trans = C</span> </dt><dd
class="description">the operation is specified by equation <a
href="#x30-67003r3">3<!--tex4ht:ref: eq:f90spmm_con --></a></dd></dl>
<!--l. 1027--><p class="noindent" >Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">optional</span><br
class="newline" />Intent: <span
class="cmbx-10">in</span>.<br
class="newline" />Default: <span
class="cmmi-10">trans </span>= <span
class="cmmi-10">N</span><br
class="newline" />Specified as: a character variable.
</dd><dt class="description">
<span
class="cmbx-10">work</span> </dt><dd
class="description">work array.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">optional</span><br
class="newline" />Intent: <span
class="cmbx-10">inout</span>.<br
class="newline" />Specified as: a rank one array of the same type of <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y </span>with the TARGET
attribute.
</dd><dt class="description">
<span
class="cmbx-10">On Return</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">y</span> </dt><dd
class="description">the local portion of result matrix <span
class="cmmi-10">y</span>.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">inout</span>.<br
class="newline" />Specified as: an array of rank one or two containing numbers of type specified
in Table <a
href="#x30-67004r12">12<!--tex4ht:ref: tab:f90spmm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">info</span> </dt><dd
class="description">Error code.<br
class="newline" />Scope: <span
class="cmbx-10">local </span><br
class="newline" />Type: <span
class="cmbx-10">required </span><br
class="newline" />Intent: <span
class="cmbx-10">out</span>.<br
class="newline" />An integer value; 0 means no error has been detected.</dd></dl>
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