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Cirdans-Home
2021-04-01 17:45:57 +02:00
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@@ -10,7 +10,7 @@
<link rel="stylesheet" type="text/css" href="userhtml.css">
</head><body
>
<!--l. 1072--><div class="crosslinks"><p class="noindent">[<a
<!--l. 1079--><div class="crosslinks"><p class="noindent">[<a
href="userhtmlse5.html" >next</a>] [<a
href="userhtmlsu21.html" >prev</a>] [<a
href="userhtmlsu21.html#tailuserhtmlsu21.html" >prev-tail</a>] [<a
@@ -18,8 +18,8 @@ href="userhtmlsu19.html#tailuserhtmlsu22.html">tail</a>] [<a
href="userhtmlsu12.html#userhtmlsu25.html" >up</a>] </p></div>
<h4 class="subsectionHead"><span class="titlemark">4.13 </span> <a
id="x31-680004.13"></a>psb_spsm &#8212; Triangular System Solve</h4>
<!--l. 1074--><p class="noindent" >This subroutine computes the Triangular System Solve:
<!--l. 1076--><p class="indent" > <div class="eqnarray">
<!--l. 1081--><p class="noindent" >This subroutine computes the Triangular System Solve:
<!--l. 1083--><p class="indent" > <div class="eqnarray">
<center class="math-display" >
<img
src="userhtml21x.png" alt="y &#x2190; &#x03B1;T- 1x + &#x03B2;y
@@ -35,7 +35,7 @@ y &#x2190; &#x03B1;DT -Hx + &#x03B2;y
y &#x2190; &#x03B1;T- HDx + &#x03B2;y
" class="math-display" ></center>
</div>
<!--l. 1089--><p class="indent" > where:
<!--l. 1096--><p class="indent" > where:
<dl class="description"><dt class="description">
<span
class="cmmi-10">x</span> </dt><dd
@@ -61,28 +61,85 @@ class="cmmi-10">T</span>
<span
class="cmmi-10">D</span> </dt><dd
class="description">is the scaling diagonal matrix.</dd></dl>
<div class="verbatim" id="verbatim-52">
call&#x00A0;psb_spsm(alpha,&#x00A0;t,&#x00A0;x,&#x00A0;beta,&#x00A0;y,&#x00A0;desc_a,&#x00A0;info)
&#x00A0;<br />call&#x00A0;psb_spsm(alpha,&#x00A0;t,&#x00A0;x,&#x00A0;beta,&#x00A0;y,&#x00A0;desc_a,&#x00A0;info,&amp;
&#x00A0;<br />&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;&amp;&#x00A0;trans,&#x00A0;unit,&#x00A0;choice,&#x00A0;diag,&#x00A0;work)
</div>
<!--l. 1101--><p class="nopar" >
<!--l. 1104--><p class="indent" > <span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">psb_spsm</span><span
class="cmtt-10">(</span><span
class="cmtt-10">alpha</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">t</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">beta</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><br
class="newline" /><span class="lstinline"></span><span
class="cmtt-10">call</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">psb_spsm</span><span
class="cmtt-10">(</span><span
class="cmtt-10">alpha</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">t</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">beta</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><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">trans</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">unit</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">choice</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">diag</span><span
class="cmtt-10">,</span><span
class="cmtt-10">&#x00A0;</span><span
class="cmtt-10">work</span><span
class="cmtt-10">)</span><br
class="newline" />
<div class="table">
<!--l. 1103--><p class="indent" > <a
id="x31-6800213"></a><hr class="float"><div class="float"
<!--l. 1107--><p class="indent" > <a
id="x31-68002r13"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 1104--><p class="noindent" >
<!--l. 1108--><p class="noindent" >
<div class="tabular"> <table id="TBL-13" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-13-1g"><col
@@ -122,7 +179,7 @@ class="hline"><td><hr></td><td><hr></td></tr><tr
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;13: </span><span
class="content">Data types</span></div><!--tex4ht:label?: x31-6800213 -->
class="content">Data types</span></div><!--tex4ht:label?: x31-68002r13 -->
@@ -148,7 +205,7 @@ 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&#x00A0;<a
href="#x31-6800213">13<!--tex4ht:ref: tab:f90spsm --></a>.
href="#x31-68002r13">13<!--tex4ht:ref: tab:f90spsm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">t</span> </dt><dd
@@ -181,7 +238,7 @@ 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="#x31-6800213">13<!--tex4ht:ref: tab:f90spsm --></a>. The
href="#x31-68002r13">13<!--tex4ht:ref: tab:f90spsm --></a>. The
rank of <span
class="cmmi-10">x </span>must be the same of <span
class="cmmi-10">y</span>.
@@ -197,7 +254,7 @@ 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&#x00A0;<a
href="#x31-6800213">13<!--tex4ht:ref: tab:f90spsm --></a>.
href="#x31-68002r13">13<!--tex4ht:ref: tab:f90spsm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">y</span> </dt><dd
@@ -216,7 +273,7 @@ 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="#x31-6800213">13<!--tex4ht:ref: tab:f90spsm --></a>. The
href="#x31-68002r13">13<!--tex4ht:ref: tab:f90spsm --></a>. The
rank of <span
class="cmmi-10">y </span>must be the same of <span
class="cmmi-10">x</span>.
@@ -256,7 +313,7 @@ class="description">the operation is with transposed matrix.
<span
class="cmbx-10">trans = &#8217;C&#8217;</span> </dt><dd
class="description">the operation is with conjugate transposed matrix.</dd></dl>
<!--l. 1173--><p class="noindent" >Scope: <span
<!--l. 1177--><p class="noindent" >Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">optional</span><br
@@ -283,7 +340,7 @@ class="description">the operation is with left scaling
<span
class="cmbx-10">unitd = &#8217;R&#8217;</span> </dt><dd
class="description">the operation is with right scaling.</dd></dl>
<!--l. 1184--><p class="noindent" >Scope: <span
<!--l. 1188--><p class="noindent" >Scope: <span
class="cmbx-10">global </span><br
class="newline" />Type: <span
class="cmbx-10">optional</span><br
@@ -299,28 +356,28 @@ class="cmbx-10">choice</span> </dt><dd
class="description">specifies the update of overlap elements to be performed on exit:
<dl class="description"><dt class="description">
</dt><dd
class="description"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">psb_none_</span></span></span>
class="description"><span class="lstinline"></span><span
class="cmtt-10">psb_none_</span>
</dd><dt class="description">
</dt><dd
class="description"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">psb_sum_</span></span></span>
class="description"><span class="lstinline"></span><span
class="cmtt-10">psb_sum_</span>
</dd><dt class="description">
</dt><dd
class="description"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">psb_avg_</span></span></span>
class="description"><span class="lstinline"></span><span
class="cmtt-10">psb_avg_</span>
</dd><dt class="description">
</dt><dd
class="description"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">psb_square_root_</span></span></span></dd></dl>
<!--l. 1197--><p class="noindent" >Scope: <span
class="description"><span class="lstinline"></span><span
class="cmtt-10">psb_square_root_</span></dd></dl>
<!--l. 1201--><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="obeylines-h"><span class="verb"><span
class="cmtt-10">psb_avg_</span></span></span><br
class="newline" />Default: <span class="lstinline"></span><span
class="cmtt-10">psb_avg_</span><br
class="newline" />Specified as: an integer variable.
@@ -340,7 +397,7 @@ class="cmmi-10">diag</span>(1) = 1(<span
class="cmmi-10">noscaling</span>)<br
class="newline" />Specified as: a rank one array containing numbers of the type indicated in
Table&#x00A0;<a
href="#x31-6800213">13<!--tex4ht:ref: tab:f90spsm --></a>.
href="#x31-68002r13">13<!--tex4ht:ref: tab:f90spsm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">work</span> </dt><dd
@@ -371,7 +428,7 @@ 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&#x00A0;<a
href="#x31-6800213">13<!--tex4ht:ref: tab:f90spsm --></a>.
href="#x31-68002r13">13<!--tex4ht:ref: tab:f90spsm --></a>.
</dd><dt class="description">
<span
class="cmbx-10">info</span> </dt><dd
@@ -389,12 +446,12 @@ class="newline" />An integer value; 0 means no error has been detected.</dd></dl
<!--l. 1241--><div class="crosslinks"><p class="noindent">[<a
<!--l. 1245--><div class="crosslinks"><p class="noindent">[<a
href="userhtmlse5.html" >next</a>] [<a
href="userhtmlsu21.html" >prev</a>] [<a
href="userhtmlsu21.html#tailuserhtmlsu21.html" >prev-tail</a>] [<a
href="userhtmlsu22.html" >front</a>] [<a
href="userhtmlsu12.html#userhtmlsu25.html" >up</a>] </p></div>
<!--l. 1241--><p class="indent" > <a
<!--l. 1245--><p class="indent" > <a
id="tailuserhtmlsu22.html"></a>
</body></html>