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<h4 class="subsectionHead"><span class="titlemark">4.3 </span> <a
id="x21-580004.3"></a>psb_gedots &#8212; Generalized Dot Product</h4>
<!--l. 237--><p class="noindent" >This subroutine computes a series of dot products among the columns of two dense
matrices <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y</span>:
<center class="math-display" >
<img
src="userhtml4x.png" alt=" T
res(i) &#x2190; x(:,i) y(:,i)
" class="math-display" ></center>
<!--l. 239--><p class="nopar" > If the matrices are complex, then the usual convention applies, i.e. the conjugate
transpose of <span
class="cmmi-10">x </span>is used. If <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y </span>are of rank one, then <span
class="cmmi-10">res </span>is a scalar, else it is a rank
one array.
<!--l. 245--><p class="indent" > <span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">psb_gedots</span><span
class="cmtt-10">(</span><span
class="cmtt-10">res</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">x</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">y</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">desc_a</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">info</span><span
class="cmtt-10">)</span>
<div class="table">
<!--l. 247--><p class="indent" > <a
id="x21-58001r3"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 248--><p class="noindent" >
<div class="tabular"> <table id="TBL-3" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-3-1g"><col
id="TBL-3-1"><col
id="TBL-3-2"></colgroup><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-3-1-"><td style="white-space:nowrap; text-align:left;" id="TBL-3-1-1"
class="td11"><span
class="cmmi-10">res</span>, <span
class="cmmi-10">x</span>, <span
class="cmmi-10">y </span></td><td style="white-space:nowrap; text-align:left;" id="TBL-3-1-2"
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-3-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-3-2-1"
class="td11">Short Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-3-2-2"
class="td11">psb_gedots </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-3-3-1"
class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-3-3-2"
class="td11">psb_gedots </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-3-4-1"
class="td11">Short Precision Complex</td><td style="white-space:nowrap; text-align:left;" id="TBL-3-4-2"
class="td11">psb_gedots </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-3-5-1"
class="td11">Long Precision Complex </td><td style="white-space:nowrap; text-align:left;" id="TBL-3-5-2"
class="td11">psb_gedots </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-3-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-3-6-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;3: </span><span
class="content">Data types</span></div><!--tex4ht:label?: x21-58001r3 -->
</div><hr class="endfloat" />
</div>
<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">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>&#x00A0;containing numbers of type specified in Table&#x00A0;<a
href="#x21-58001r3">3<!--tex4ht:ref: tab:f90mdot --></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">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">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>&#x00A0;containing numbers of type specified in Table&#x00A0;<a
href="#x21-58001r3">3<!--tex4ht:ref: tab:f90mdot --></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">On Return</span> </dt><dd
class="description">
</dd><dt class="description">
<span
class="cmbx-10">res</span> </dt><dd
class="description">is the dot product of vectors <span
class="cmmi-10">x </span>and <span
class="cmmi-10">y</span>.<br
class="newline" />Scope: <span
class="cmbx-10">global </span><br
class="newline" />Intent: <span
class="cmbx-10">out</span>.<br
class="newline" />Specified as: a number or a rank-one array of the data type indicated in
Table&#x00A0;<a
href="userhtmlsu11.html#x20-57001r2">2<!--tex4ht:ref: tab:f90dot --></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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