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amg4psblas/docs/html/userhtmlsu12.html

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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>Method build</title>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<meta name="generator" content="TeX4ht (https://tug.org/tex4ht/)">
<meta name="originator" content="TeX4ht (https://tug.org/tex4ht/)">
<!-- html,3 -->
<meta name="src" content="userhtml.tex">
<link rel="stylesheet" type="text/css" href="userhtml.css">
</head><body
>
<!--l. 746--><div class="crosslinks"><p class="noindent"><span
class="cmr-12">[</span><a
href="userhtmlsu13.html" ><span
class="cmr-12">next</span></a><span
class="cmr-12">] [</span><a
href="userhtmlsu11.html" ><span
class="cmr-12">prev</span></a><span
class="cmr-12">] [</span><a
href="userhtmlsu11.html#tailuserhtmlsu11.html" ><span
class="cmr-12">prev-tail</span></a><span
class="cmr-12">] [</span><a
href="#tailuserhtmlsu12.html"><span
class="cmr-12">tail</span></a><span
class="cmr-12">] [</span><a
href="userhtmlse5.html#userhtmlsu12.html" ><span
class="cmr-12">up</span></a><span
class="cmr-12">] </span></p></div>
<h4 class="subsectionHead"><span class="titlemark"><span
class="cmr-12">5.5 </span></span> <a
id="x22-210005.5"></a><span
class="cmr-12">Method build</span></h4>
<div class="center"
>
<!--l. 748--><p class="noindent" >
<!--l. 749--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">call</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">p</span><span
class="cmtt-12">%</span><span
class="cmtt-12">build</span><span
class="cmtt-12">(</span><span
class="cmtt-12">a</span><span
class="cmtt-12">,</span><span
class="cmtt-12">desc_a</span><span
class="cmtt-12">,</span><span
class="cmtt-12">info</span><span
class="cmtt-12">[,</span><span
class="cmtt-12">amold</span><span
class="cmtt-12">,</span><span
class="cmtt-12">vmold</span><span
class="cmtt-12">,</span><span
class="cmtt-12">imold</span><span
class="cmtt-12">])</span><br />
</div>
<!--l. 752--><p class="noindent" ><span
class="cmr-12">This method builds the preconditioner </span><span class="lstinline"></span><span
class="cmtt-12">p</span> <span
class="cmr-12">according to the requirements made by the</span>
<span
class="cmr-12">user through the methods </span><span class="lstinline"></span><span
class="cmtt-12">init</span> <span
class="cmr-12">and </span><span class="lstinline"></span><span
class="cmtt-12">set</span> <span
class="cmr-12">(see Sections</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlsu10.html#x20-190005.3"><span
class="cmr-12">5.3</span><!--tex4ht:ref: sec:hier_bld --></a> <span
class="cmr-12">and</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlsu11.html#x21-200005.4"><span
class="cmr-12">5.4</span><!--tex4ht:ref: sec:smooth_bld --></a> <span
class="cmr-12">for multilevel</span>
<span
class="cmr-12">preconditioners). It is mostly provided for backward compatibility; indeed, it is</span>
<span
class="cmr-12">internally implemented by invoking the two previous methods </span><span class="lstinline"></span><span
class="cmtt-12">hierarchy_build</span> <span
class="cmr-12">and</span>
<span class="lstinline"></span><span
class="cmtt-12">smoothers_build</span><span
class="cmr-12">, whose nomenclature would however be somewhat unnatural when</span>
<span
class="cmr-12">dealing with simple one-level preconditioners.</span>
<!--l. 762--><p class="noindent" ><span
class="cmbx-12">Arguments</span>
<div class="tabular"> <table id="TBL-13" class="tabular"
cellspacing="0" cellpadding="0"
<<<<<<< HEAD
><colgroup id="TBL-14-1g"><col
id="TBL-14-1"><col
id="TBL-14-2"></colgroup><tr
style="vertical-align:baseline;" id="TBL-14-1-"><td style="white-space:normal; text-align:left;" id="TBL-14-1-1"
class="td11"><!--l. 812--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">x</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-1-2"
class="td11"><!--l. 812--><p class="noindent" ><span
class="cmti-12">type</span><span class="lstinline"></span><span
class="cmtt-12">(</span><span
class="cmtt-12">kind_parameter</span><span
class="cmtt-12">)</span><span
class="cmr-12">, dimension(:), intent(in)&#8212;.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-2-"><td style="white-space:normal; text-align:left;" id="TBL-14-2-1"
class="td11"><!--l. 813--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-2-2"
class="td11"><!--l. 813--><p class="noindent" ><span
class="cmr-12">The local part of the vector </span><span
class="cmmi-12">x</span><span
class="cmr-12">. Note that </span><span
class="cmti-12">type </span><span
class="cmr-12">and </span><span
class="cmti-12">kind</span><span
class="cmti-12">_parameter</span>
<span
class="cmr-12">must be chosen according to the </span><span class="lstinline"></span><span
class="cmtt-12">real</span><span
class="cmr-12">/</span><span class="lstinline"></span><span
class="cmtt-12">complex</span><span
class="cmr-12">, single/double</span>
<span
class="cmr-12">precision version of AMG4PSBLAS under use.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-3-"><td style="white-space:normal; text-align:left;" id="TBL-14-3-1"
class="td11"><!--l. 816--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">y</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-3-2"
class="td11"><!--l. 816--><p class="noindent" ><span
class="cmti-12">type</span><span class="lstinline"></span><span
=======
><colgroup id="TBL-13-1g"><col
id="TBL-13-1"><col
id="TBL-13-2"></colgroup><tr
style="vertical-align:baseline;" id="TBL-13-1-"><td style="white-space:normal; text-align:left;" id="TBL-13-1-1"
class="td11"><!--l. 765--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">a</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-1-2"
class="td11"><!--l. 765--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">type</span><span
class="cmtt-12">(</span><span
class="cmtt-12">psb_</span><span
class="cmti-12">x</span><span class="lstinline"></span><span
class="cmtt-12">spmat_type</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">intent</span><span
>>>>>>> development
class="cmtt-12">(</span><span
class="cmtt-12">in</span><span
class="cmtt-12">)</span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-4-"><td style="white-space:normal; text-align:left;" id="TBL-14-4-1"
class="td11"><!--l. 817--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-4-2"
class="td11"><!--l. 817--><p class="noindent" ><span
class="cmr-12">The local part of the vector </span><span
class="cmmi-12">y</span><span
class="cmr-12">. Note that </span><span
class="cmti-12">type </span><span
class="cmr-12">and </span><span
class="cmti-12">kind</span><span
class="cmti-12">_parameter</span>
=======
style="vertical-align:baseline;" id="TBL-13-2-"><td style="white-space:normal; text-align:left;" id="TBL-13-2-1"
class="td11"><!--l. 766--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-2-2"
class="td11"><!--l. 766--><p class="noindent" ><span
class="cmr-12">The sparse matrix structure containing the local part of the matrix</span>
>>>>>>> development
<span
class="cmr-12">to be preconditioned. Note that </span><span
class="cmti-12">x </span><span
class="cmr-12">must be chosen according to the</span>
<span class="lstinline"></span><span
class="cmtt-12">real</span><span
class="cmr-12">/</span><span class="lstinline"></span><span
class="cmtt-12">complex</span><span
class="cmr-12">, single/double precision version of AMG4PSBLAS</span>
<span
class="cmr-12">under use. See the PSBLAS User&#8217;s Guide for details </span><span class="cite"><span
class="cmr-12">[</span><a
href="userhtmlli5.html#XPSBLASGUIDE"><span
class="cmr-12">20</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-5-"><td style="white-space:normal; text-align:left;" id="TBL-14-5-1"
class="td11"><!--l. 820--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">desc_a</span></td><td style="white-space:normal; text-align:left;" id="TBL-14-5-2"
class="td11"><!--l. 820--><p class="noindent" ><span class="lstinline"></span><span
=======
style="vertical-align:baseline;" id="TBL-13-3-"><td style="white-space:normal; text-align:left;" id="TBL-13-3-1"
class="td11"><!--l. 770--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">desc_a</span></td><td style="white-space:normal; text-align:left;" id="TBL-13-3-2"
class="td11"><!--l. 770--><p class="noindent" ><span class="lstinline"></span><span
>>>>>>> development
class="cmtt-12">type</span><span
class="cmtt-12">(</span><span
class="cmtt-12">psb_desc_type</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">intent</span><span
class="cmtt-12">(</span><span
class="cmtt-12">in</span><span
class="cmtt-12">)</span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-6-"><td style="white-space:normal; text-align:left;" id="TBL-14-6-1"
class="td11"><!--l. 821--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-6-2"
class="td11"><!--l. 821--><p class="noindent" ><span
class="cmr-12">The communication descriptor associated to the matrix to be</span>
=======
style="vertical-align:baseline;" id="TBL-13-4-"><td style="white-space:normal; text-align:left;" id="TBL-13-4-1"
class="td11"><!--l. 771--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-4-2"
class="td11"><!--l. 771--><p class="noindent" ><span
class="cmr-12">The communication descriptor of </span><span class="lstinline"></span><span
class="cmtt-12">a</span><span
class="cmr-12">. See the PSBLAS User&#8217;s Guide</span>
>>>>>>> development
<span
class="cmr-12">for details </span><span class="cite"><span
class="cmr-12">[</span><a
href="userhtmlli5.html#XPSBLASGUIDE"><span
class="cmr-12">20</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-7-"><td style="white-space:normal; text-align:left;" id="TBL-14-7-1"
class="td11"><!--l. 823--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-7-2"
class="td11"><!--l. 823--><p class="noindent" ><span class="lstinline"></span><span
=======
style="vertical-align:baseline;" id="TBL-13-5-"><td style="white-space:normal; text-align:left;" id="TBL-13-5-1"
class="td11"><!--l. 773--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-5-2"
class="td11"><!--l. 773--><p class="noindent" ><span class="lstinline"></span><span
>>>>>>> development
class="cmtt-12">integer</span><span
class="cmtt-12">,</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">intent</span><span
class="cmtt-12">(</span><span
class="cmtt-12">out</span><span
class="cmtt-12">)</span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-8-"><td style="white-space:normal; text-align:left;" id="TBL-14-8-1"
class="td11"><!--l. 824--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-8-2"
class="td11"><!--l. 824--><p class="noindent" ><span
=======
style="vertical-align:baseline;" id="TBL-13-6-"><td style="white-space:normal; text-align:left;" id="TBL-13-6-1"
class="td11"><!--l. 774--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-6-2"
class="td11"><!--l. 774--><p class="noindent" ><span
>>>>>>> development
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlse7.html#x28-320007"><span
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
class="cmr-12">for details.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-9-"><td style="white-space:normal; text-align:left;" id="TBL-14-9-1"
class="td11"><!--l. 825--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">trans</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-9-2"
class="td11"><!--l. 825--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">character</span><span
=======
style="vertical-align:baseline;" id="TBL-13-7-"><td style="white-space:normal; text-align:left;" id="TBL-13-7-1"
class="td11"><!--l. 775--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">amold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-7-2"
class="td11"><!--l. 775--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">class</span><span
>>>>>>> development
class="cmtt-12">(</span><span
class="cmtt-12">psb_</span><span
class="cmti-12">x</span><span class="lstinline"></span><span
class="cmtt-12">_base_sparse_mat</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">intent</span><span
class="cmtt-12">(</span><span
class="cmtt-12">in</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">optional</span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-10-"><td style="white-space:normal; text-align:left;" id="TBL-14-10-1"
class="td11"><!--l. 826--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-10-2"
class="td11"><!--l. 826--><p class="noindent" ><span
class="cmr-12">If </span><span class="lstinline"></span><span
class="cmtt-12">trans</span> <span
class="cmr-12">= </span><span class="lstinline"></span><span
class="cmtt-12">&#8217;</span><span
class="cmtt-12">N</span><span
class="cmtt-12">&#8217;</span><span
class="cmtt-12">,</span><span
class="cmtt-12">&#8217;</span><span
class="cmtt-12">n</span><span
class="cmtt-12">&#8217;</span> <span
class="cmr-12">then </span><span
class="cmmi-12">op</span><span
class="cmr-12">(</span><span
class="cmmi-12">B</span><sup><span
class="cmsy-8">-</span><span
class="cmr-8">1</span></sup><span
class="cmr-12">) = </span><span
class="cmmi-12">B</span><sup><span
class="cmsy-8">-</span><span
class="cmr-8">1</span></sup><span
class="cmr-12">; if </span><span class="lstinline"></span><span
class="cmtt-12">trans</span> <span
class="cmr-12">= </span><span class="lstinline"></span><span
class="cmtt-12">&#8217;</span><span
class="cmtt-12">T</span><span
class="cmtt-12">&#8217;</span><span
class="cmtt-12">,</span><span
class="cmtt-12">&#8217;</span><span
class="cmtt-12">t</span><span
class="cmtt-12">&#8217;</span>
=======
style="vertical-align:baseline;" id="TBL-13-8-"><td style="white-space:normal; text-align:left;" id="TBL-13-8-1"
class="td11"><!--l. 776--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-8-2"
class="td11"><!--l. 776--><p class="noindent" ><span
class="cmr-12">The desired dynamic type for internal matrix components; this</span>
>>>>>>> development
<span
class="cmr-12">allows e.g. running on GPUs; it needs not be the same on all</span>
<span
class="cmr-12">processes. See the PSBLAS User&#8217;s Guide for details </span><span class="cite"><span
class="cmr-12">[</span><a
href="userhtmlli5.html#XPSBLASGUIDE"><span
class="cmr-12">20</span></a><span
class="cmr-12">]</span></span><span
class="cmr-12">.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-11-"><td style="white-space:normal; text-align:left;" id="TBL-14-11-1"
class="td11"><!--l. 830--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">work</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-11-2"
class="td11"><!--l. 830--><p class="noindent" ><span
class="cmti-12">type</span><span class="lstinline"></span><span
class="cmtt-12">(</span><span
class="cmtt-12">kind_parameter</span><span
class="cmtt-12">)</span><span
class="cmr-12">, dimension(:), optional, target&#8212;.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-12-"><td style="white-space:normal; text-align:left;" id="TBL-14-12-1"
class="td11"><!--l. 831--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-12-2"
class="td11"><!--l. 831--><p class="noindent" ><span
class="cmr-12">Workspace. Its size should be at least </span><span class="lstinline"></span><span
class="cmtt-12">4</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">*</span><span
=======
style="vertical-align:baseline;" id="TBL-13-9-"><td style="white-space:normal; text-align:left;" id="TBL-13-9-1"
class="td11"><!--l. 780--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">vmold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-9-2"
class="td11"><!--l. 780--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">class</span><span
class="cmtt-12">(</span><span
class="cmtt-12">psb_</span><span
class="cmti-12">x</span><span class="lstinline"></span><span
class="cmtt-12">_base_vect_type</span><span
class="cmtt-12">),</span><span
>>>>>>> development
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">intent</span><span
class="cmtt-12">(</span><span
class="cmtt-12">in</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">optional</span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-13-10-"><td style="white-space:normal; text-align:left;" id="TBL-13-10-1"
class="td11"><!--l. 781--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-10-2"
class="td11"><!--l. 781--><p class="noindent" ><span
class="cmr-12">The desired dynamic type for internal vector components; this</span>
<span
class="cmr-12">allows e.g. running on GPUs.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-13-11-"><td style="white-space:normal; text-align:left;" id="TBL-13-11-1"
class="td11"><!--l. 783--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">imold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-11-2"
class="td11"><!--l. 783--><p class="noindent" ><span class="lstinline"></span><span
class="cmtt-12">class</span><span
class="cmtt-12">(</span><span
class="cmtt-12">psb_i_base_vect_type</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">intent</span><span
class="cmtt-12">(</span><span
class="cmtt-12">in</span><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;</span><span
class="cmtt-12">optional</span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-13-12-"><td style="white-space:normal; text-align:left;" id="TBL-13-12-1"
class="td11"><!--l. 784--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-12-2"
class="td11"><!--l. 784--><p class="noindent" ><span
class="cmr-12">The desired dynamic type for internal integer vector components;</span>
<span
class="cmr-12">this allows e.g. running on GPUs.</span> </td>
</tr><tr
<<<<<<< HEAD
style="vertical-align:baseline;" id="TBL-14-13-"><td style="white-space:normal; text-align:left;" id="TBL-14-13-1"
=======
style="vertical-align:baseline;" id="TBL-13-13-"><td style="white-space:normal; text-align:left;" id="TBL-13-13-1"
>>>>>>> development
class="td11"> </td> </tr></table></div>
<!--l. 789--><p class="noindent" ><span
class="cmr-12">The method can be used to build multilevel preconditioners too.</span>
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