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<!--l. 798--><div class="crosslinks"><p class="noindent"><span
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<h4 class="subsectionHead"><span class="titlemark"><span
class="cmr-12">6.6 </span></span> <a
id="x25-240006.6"></a><span
class="cmr-12">Method apply</span></h4>
<div class="center"
>
<!--l. 800--><p class="noindent" >
<!--l. 801--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">call</span><span
class="cmtt-12">&#x00A0;p%apply(x,y,desc_a,info</span><span
class="cmtt-12">&#x00A0;[,trans,work])</span></span></span><br />
</div>
<!--l. 804--><p class="noindent" ><span
class="cmr-12">This method computes </span><span
class="cmmi-12">y </span><span
class="cmr-12">= </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">x</span><span
class="cmr-12">, where </span><span
class="cmmi-12">B </span><span
class="cmr-12">is a previously built preconditioner,</span>
<span
class="cmr-12">stored into </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">p</span></span></span><span
class="cmr-12">, and </span><span
class="cmmi-12">op </span><span
class="cmr-12">denotes the preconditioner itself or its transpose, according to the</span>
<span
class="cmr-12">value of </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">trans</span></span></span><span
class="cmr-12">. Note that, when MLD2P4 is used with a Krylov solver from PSBLAS,</span>
<span class="obeylines-h"><span class="verb"><span
class="cmtt-12">p%apply</span></span></span> <span
class="cmr-12">is called within the PSBLAS method </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">psb_krylov</span></span></span> <span
class="cmr-12">and hence it is completely</span>
<span
class="cmr-12">transparent to the user.</span>
<!--l. 813--><p class="noindent" ><span
class="cmbx-12">Arguments</span>
<div class="tabular"> <table id="TBL-14" class="tabular"
cellspacing="0" cellpadding="0"
><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:wrap; text-align:left;" id="TBL-14-1-1"
class="td11"><!--l. 820--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">x</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-1-2"
class="td11"><!--l. 820--><p class="noindent" ><span
class="cmti-12">type</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">(</span></span></span><span
class="cmti-12">kind</span><span
class="cmti-12">_parameter</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;dimension(:),</span><span
class="cmtt-12">&#x00A0;intent(in)</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-2-"><td style="white-space:wrap; text-align:left;" id="TBL-14-2-1"
class="td11"><!--l. 821--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-2-2"
class="td11"><!--l. 821--><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 real/complex, single/double</span>
<span
class="cmr-12">precision version of MLD2P4 under use.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-3-"><td style="white-space:wrap; text-align:left;" id="TBL-14-3-1"
class="td11"><!--l. 824--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">y</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-3-2"
class="td11"><!--l. 824--><p class="noindent" ><span
class="cmti-12">type</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">(</span></span></span><span
class="cmti-12">kind</span><span
class="cmti-12">_parameter</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;dimension(:),</span><span
class="cmtt-12">&#x00A0;intent(out)</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-4-"><td style="white-space:wrap; text-align:left;" id="TBL-14-4-1"
class="td11"><!--l. 825--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-4-2"
class="td11"><!--l. 825--><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>
<span
class="cmr-12">must be chosen according to the real/complex, single/double</span>
<span
class="cmr-12">precision version of MLD2P4 under use.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-5-"><td style="white-space:wrap; text-align:left;" id="TBL-14-5-1"
class="td11"><!--l. 828--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">desc_a</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-14-5-2"
class="td11"><!--l. 828--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">type(psb_desc_type),</span><span
class="cmtt-12">&#x00A0;intent(in)</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-6-"><td style="white-space:wrap; text-align:left;" id="TBL-14-6-1"
class="td11"><!--l. 829--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-6-2"
class="td11"><!--l. 829--><p class="noindent" ><span
class="cmr-12">The communication descriptor associated to the matrix to be</span>
<span
class="cmr-12">preconditioned.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-7-"><td style="white-space:wrap; text-align:left;" id="TBL-14-7-1"
class="td11"><!--l. 831--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">info</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-7-2"
class="td11"><!--l. 831--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">integer,</span><span
class="cmtt-12">&#x00A0;intent(out)</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-8-"><td style="white-space:wrap; text-align:left;" id="TBL-14-8-1"
class="td11"><!--l. 832--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-8-2"
class="td11"><!--l. 832--><p class="noindent" ><span
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlse8.html#x30-340008"><span
class="cmr-12">8</span><!--tex4ht:ref: sec:errors --></a> <span
class="cmr-12">for details.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-9-"><td style="white-space:wrap; text-align:left;" id="TBL-14-9-1"
class="td11"><!--l. 833--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">trans</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-9-2"
class="td11"><!--l. 833--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">character(len=1),</span><span
class="cmtt-12">&#x00A0;optional,</span><span
class="cmtt-12">&#x00A0;intent(in).</span></span></span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-10-"><td style="white-space:wrap; text-align:left;" id="TBL-14-10-1"
class="td11"><!--l. 834--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-10-2"
class="td11"><!--l. 834--><p class="noindent" ><span
class="cmr-12">If </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">trans</span></span></span> <span
class="cmr-12">= </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">&#8217;N&#8217;,&#8217;n&#8217;</span></span></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="obeylines-h"><span class="verb"><span
class="cmtt-12">trans</span></span></span> <span
class="cmr-12">= </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">&#8217;T&#8217;,&#8217;t&#8217;</span></span></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="cmmi-8">T</span> </sup> <span
class="cmr-12">(transpose of </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="obeylines-h"><span class="verb"><span
class="cmtt-12">trans</span></span></span> <span
class="cmr-12">= </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">&#8217;C&#8217;,&#8217;c&#8217;</span></span></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="cmmi-8">C</span></sup> <span
class="cmr-12">(conjugate transpose of </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> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-11-"><td style="white-space:wrap; text-align:left;" id="TBL-14-11-1"
class="td11"><!--l. 838--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">work</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-11-2"
class="td11"><!--l. 838--><p class="noindent" ><span
class="cmti-12">type</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">(</span></span></span><span
class="cmti-12">kind</span><span
class="cmti-12">_parameter</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">),</span><span
class="cmtt-12">&#x00A0;dimension(:),</span><span
class="cmtt-12">&#x00A0;optional,</span><span
class="cmtt-12">&#x00A0;target</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-12-"><td style="white-space:wrap; text-align:left;" id="TBL-14-12-1"
class="td11"><!--l. 839--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-12-2"
class="td11"><!--l. 839--><p class="noindent" ><span
class="cmr-12">Workspace. Its size should be at least </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">4</span><span
class="cmtt-12">&#x00A0;*</span><span
class="cmtt-12">&#x00A0;psb_cd_get_local_</span></span></span>
<span class="obeylines-h"><span class="verb"><span
class="cmtt-12">cols(desc_a)</span></span></span> <span
class="cmr-12">(see the PSBLAS User&#8217;s Guide). 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 real/complex,</span>
<span
class="cmr-12">single/double precision version of MLD2P4 under use.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-13-"><td style="white-space:wrap; text-align:left;" id="TBL-14-13-1"
class="td11"> </td> </tr></table></div>
<!--l. 846--><p class="indent" > <span
class="cmr-12">For compatibility with the previous versions of MLD2P4, this method can be also</span>
<span
class="cmr-12">invoked as follows:</span>
<div class="center"
>
<!--l. 849--><p class="noindent" >
<!--l. 850--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">call</span><span
class="cmtt-12">&#x00A0;mld_precaply(p,what,val,info)</span></span></span></div>
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class="cmr-12">] [</span><a
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href="userhtmlsu14.html#tailuserhtmlsu14.html" ><span
class="cmr-12">prev-tail</span></a><span
class="cmr-12">] [</span><a
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href="userhtmlse6.html#userhtmlsu15.html" ><span
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