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202 lines
8.8 KiB
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202 lines
8.8 KiB
HTML
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<head><title>psb_geasums — Generalized 1-Norm of Vector</title>
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<h4 class="subsectionHead"><span class="titlemark">4.7 </span> <a
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id="x25-620004.7"></a>psb_geasums — Generalized 1-Norm of Vector</h4>
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<!--l. 572--><p class="noindent" >This subroutine computes a series of 1-norms on the columns of a dense matrix
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<span
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class="cmmi-10">x</span>:
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<center class="math-display" >
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<img
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src="userhtml10x.png" alt="res(i) ← makx|x(k,i)|
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" class="math-display" ></center>
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<!--l. 574--><p class="nopar" > This function computes the 1-norm of a vector <span
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class="cmmi-10">x</span>.<br
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class="newline" />If <span
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class="cmmi-10">x </span>is a real vector it computes 1-norm as:
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<center class="math-display" >
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<img
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src="userhtml11x.png" alt="res(i) ← ∥xi∥
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" class="math-display" ></center>
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<!--l. 578--><p class="nopar" > else if <span
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class="cmmi-10">x </span>is a complex vector then it computes 1-norm as:
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<center class="math-display" >
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<img
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src="userhtml12x.png" alt="res(i) ← ∥re(x )∥1 +∥im (x )∥1
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" class="math-display" ></center>
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<!--l. 580--><p class="nopar" >
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<!--l. 583--><p class="indent" > <span class="lstinline"></span><span
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class="cmtt-10">call</span><span
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class="cmtt-10"> </span><span
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class="cmtt-10">psb_geasums</span><span
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class="cmtt-10">(</span><span
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class="cmtt-10">res</span><span
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class="cmtt-10">,</span><span
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class="cmtt-10"> </span><span
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class="cmtt-10">x</span><span
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class="cmtt-10">,</span><span
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class="cmtt-10"> </span><span
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class="cmtt-10">desc_a</span><span
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class="cmtt-10">,</span><span
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class="cmtt-10"> </span><span
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class="cmtt-10">info</span><span
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class="cmtt-10">)</span>
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<div class="table">
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<!--l. 585--><p class="indent" > <a
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id="x25-62001r7"></a><hr class="float"><div class="float"
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>
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<div class="center"
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>
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<!--l. 586--><p class="noindent" >
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<div class="tabular"> <table id="TBL-7" class="tabular"
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cellspacing="0" cellpadding="0"
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><colgroup id="TBL-7-1g"><col
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id="TBL-7-1"><col
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id="TBL-7-2"><col
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id="TBL-7-3"></colgroup><tr
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class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
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style="vertical-align:baseline;" id="TBL-7-1-"><td style="white-space:nowrap; text-align:left;" id="TBL-7-1-1"
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class="td11"><span
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class="cmmi-10">res </span></td><td style="white-space:nowrap; text-align:left;" id="TBL-7-1-2"
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class="td11"><span
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class="cmmi-10">x </span></td><td style="white-space:nowrap; text-align:left;" id="TBL-7-1-3"
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class="td11"><span
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class="cmbx-10">Subroutine</span></td></tr><tr
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class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
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style="vertical-align:baseline;" id="TBL-7-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-7-2-1"
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class="td11">Short Precision Real</td><td style="white-space:nowrap; text-align:left;" id="TBL-7-2-2"
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class="td11">Short Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-2-3"
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class="td11">psb_geasums</td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-7-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-7-3-1"
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class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-3-2"
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class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-3-3"
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class="td11">psb_geasums</td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-7-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-7-4-1"
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class="td11">Short Precision Real</td><td style="white-space:nowrap; text-align:left;" id="TBL-7-4-2"
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class="td11">Short Precision Complex</td><td style="white-space:nowrap; text-align:left;" id="TBL-7-4-3"
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class="td11">psb_geasums</td>
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</tr><tr
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style="vertical-align:baseline;" id="TBL-7-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-7-5-1"
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class="td11">Long Precision Real </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-5-2"
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class="td11">Long Precision Complex </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-5-3"
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class="td11">psb_geasums</td>
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</tr><tr
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class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
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style="vertical-align:baseline;" id="TBL-7-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-7-6-1"
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class="td11"> </td></tr></table></div></div>
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<br /> <div class="caption"
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><span class="id">Table 7: </span><span
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class="content">Data types</span></div><!--tex4ht:label?: x25-62001r7 -->
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</div><hr class="endfloat" />
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</div>
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<dl class="description"><dt class="description">
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<span
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class="cmbx-10">Type:</span> </dt><dd
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class="description">Synchronous.
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</dd><dt class="description">
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<span
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class="cmbx-10">On Entry</span> </dt><dd
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class="description">
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</dd><dt class="description">
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<span
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class="cmbx-10">x</span> </dt><dd
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class="description">the local portion of global dense matrix <span
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class="cmmi-10">x</span>. <br
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class="newline" />Scope: <span
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class="cmbx-10">local </span><br
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class="newline" />Type: <span
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class="cmbx-10">required </span><br
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class="newline" />Intent: <span
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class="cmbx-10">in</span>.<br
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class="newline" />Specified as: a rank one or two array or an object of type
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<a
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href="userhtmlsu7.html#vdata"><span
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class="cmtt-10">psb</span><span
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class="cmtt-10">_T</span><span
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class="cmtt-10">_vect</span><span
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class="cmtt-10">_type</span></a> containing numbers of type specified in Table <a
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href="#x25-62001r7">7<!--tex4ht:ref: tab:f90asums --></a>.
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</dd><dt class="description">
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<span
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class="cmbx-10">desc</span><span
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class="cmbx-10">_a</span> </dt><dd
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class="description">contains data structures for communications.<br
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class="newline" />Scope: <span
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class="cmbx-10">local </span><br
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class="newline" />Type: <span
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class="cmbx-10">required</span><br
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class="newline" />Intent: <span
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class="cmbx-10">in</span>.<br
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class="newline" />Specified as: an object of type <a
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href="userhtmlsu5.html#descdata"><span
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class="cmtt-10">psb</span><span
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class="cmtt-10">_desc</span><span
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class="cmtt-10">_type</span></a>.
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</dd><dt class="description">
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<span
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class="cmbx-10">On Return</span> </dt><dd
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class="description">
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</dd><dt class="description">
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<span
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class="cmbx-10">res</span> </dt><dd
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class="description">contains the 1-norm of (the columns of) <span
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class="cmmi-10">x</span>.<br
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class="newline" />Scope: <span
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class="cmbx-10">global </span><br
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class="newline" />Intent: <span
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class="cmbx-10">out</span>.<br
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class="newline" />Short as: a long precision real number. Specified as: a long precision real
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number.
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</dd><dt class="description">
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<span
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class="cmbx-10">info</span> </dt><dd
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class="description">Error code.<br
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class="newline" />Scope: <span
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class="cmbx-10">local </span><br
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class="newline" />Type: <span
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class="cmbx-10">required </span><br
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class="newline" />Intent: <span
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class="cmbx-10">out</span>.<br
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class="newline" />An integer value; 0 means no error has been detected.</dd></dl>
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href="userhtmlsu15.html#tailuserhtmlsu15.html" >prev-tail</a>] [<a
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