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Added remark on polynomial smoothers

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fdurastante
2024-11-18 14:41:59 +01:00
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@@ -10,7 +10,7 @@
<link rel="stylesheet" type="text/css" href="userhtml.css">
</head><body
>
<!--l. 780--><div class="crosslinks"><p class="noindent"><span
<!--l. 789--><div class="crosslinks"><p class="noindent"><span
class="cmr-12">[</span><a
href="userhtmlsu13.html" ><span
class="cmr-12">next</span></a><span
@@ -33,10 +33,10 @@ class="cmr-12">5.5 </span></span> <a
class="cmr-12">Method build</span></h4>
<div class="center"
>
<!--l. 782--><p class="noindent" >
<!--l. 783--><p class="noindent" ><code class="lstinline"><span style="color:#000000">call</span><span style="color:#000000"> </span><span style="color:#000000">p</span><span style="color:#000000">%</span><span style="color:#000000">build</span><span style="color:#000000">(</span><span style="color:#000000">a</span><span style="color:#000000">,</span><span style="color:#000000">desc_a</span><span style="color:#000000">,</span><span style="color:#000000">info</span><span style="color:#000000">[,</span><span style="color:#000000">amold</span><span style="color:#000000">,</span><span style="color:#000000">vmold</span><span style="color:#000000">,</span><span style="color:#000000">imold</span><span style="color:#000000">])</span></code><br />
<!--l. 791--><p class="noindent" >
<!--l. 792--><p class="noindent" ><code class="lstinline"><span style="color:#000000">call</span><span style="color:#000000"> </span><span style="color:#000000">p</span><span style="color:#000000">%</span><span style="color:#000000">build</span><span style="color:#000000">(</span><span style="color:#000000">a</span><span style="color:#000000">,</span><span style="color:#000000">desc_a</span><span style="color:#000000">,</span><span style="color:#000000">info</span><span style="color:#000000">[,</span><span style="color:#000000">amold</span><span style="color:#000000">,</span><span style="color:#000000">vmold</span><span style="color:#000000">,</span><span style="color:#000000">imold</span><span style="color:#000000">])</span></code><br />
</div>
<!--l. 786--><p class="noindent" ><span
<!--l. 795--><p class="noindent" ><span
class="cmr-12">This method builds the preconditioner </span><code class="lstinline"><span style="color:#000000">p</span></code> <span
class="cmr-12">according to the requirements made by the</span>
<span
@@ -60,7 +60,7 @@ class="cmr-12">and</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. 796--><p class="noindent" ><span
<!--l. 805--><p class="noindent" ><span
class="cmbx-12">Arguments</span>
<div class="tabular"> <table id="TBL-14" class="tabular"
@@ -68,14 +68,14 @@ class="cmbx-12">Arguments</span>
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. 799--><p class="noindent" ><code class="lstinline"><span style="color:#000000">a</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-1-2"
class="td11"> <!--l. 799--><p class="noindent" ><code class="lstinline"><span style="color:#000000">type</span><span style="color:#000000">(</span><span style="color:#000000">psb_</span></code><span
class="td11"> <!--l. 808--><p class="noindent" ><code class="lstinline"><span style="color:#000000">a</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-1-2"
class="td11"> <!--l. 808--><p class="noindent" ><code class="lstinline"><span style="color:#000000">type</span><span style="color:#000000">(</span><span style="color:#000000">psb_</span></code><span
class="cmti-12">x</span><code class="lstinline"><span style="color:#000000">spmat_type</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">)</span></code><span
class="cmr-12">.</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. 800--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-2-2"
class="td11"> <!--l. 800--><p class="noindent" ><span
class="td11"> <!--l. 809--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-2-2"
class="td11"> <!--l. 809--><p class="noindent" ><span
class="cmr-12">The sparse matrix structure containing the local part of the matrix</span>
<span
class="cmr-12">to be preconditioned. Note that </span><span
@@ -93,13 +93,13 @@ class="cmr-12">]</span></span><span
class="cmr-12">.</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. 804--><p class="noindent" ><code class="lstinline"><span style="color:#000000">desc_a</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-3-2"
class="td11"> <!--l. 804--><p class="noindent" ><code class="lstinline"><span style="color:#000000">type</span><span style="color:#000000">(</span><span style="color:#000000">psb_desc_type</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">)</span></code><span
class="td11"> <!--l. 813--><p class="noindent" ><code class="lstinline"><span style="color:#000000">desc_a</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-3-2"
class="td11"> <!--l. 813--><p class="noindent" ><code class="lstinline"><span style="color:#000000">type</span><span style="color:#000000">(</span><span style="color:#000000">psb_desc_type</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">)</span></code><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-4-"><td style="white-space:normal; text-align:left;" id="TBL-14-4-1"
class="td11"> <!--l. 805--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-4-2"
class="td11"> <!--l. 805--><p class="noindent" ><span
class="td11"> <!--l. 814--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-4-2"
class="td11"> <!--l. 814--><p class="noindent" ><span
class="cmr-12">The communication descriptor of </span><code class="lstinline"><span style="color:#000000">a</span></code><span
class="cmr-12">. See the PSBLAS User&#8217;s Guide</span>
<span
@@ -111,13 +111,13 @@ class="cmr-12">]</span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-5-"><td style="white-space:normal; text-align:left;" id="TBL-14-5-1"
class="td11"> <!--l. 807--><p class="noindent" ><code class="lstinline"><span style="color:#000000">info</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-5-2"
class="td11"> <!--l. 807--><p class="noindent" ><code class="lstinline"><span style="color:#000000">integer</span><span style="color:#000000">,</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">out</span><span style="color:#000000">)</span></code><span
class="td11"> <!--l. 816--><p class="noindent" ><code class="lstinline"><span style="color:#000000">info</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-5-2"
class="td11"> <!--l. 816--><p class="noindent" ><code class="lstinline"><span style="color:#000000">integer</span><span style="color:#000000">,</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">out</span><span style="color:#000000">)</span></code><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-6-"><td style="white-space:normal; text-align:left;" id="TBL-14-6-1"
class="td11"> <!--l. 808--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-6-2"
class="td11"> <!--l. 808--><p class="noindent" ><span
class="td11"> <!--l. 817--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-6-2"
class="td11"> <!--l. 817--><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="userhtmlse7.html#x28-320007"><span
@@ -125,14 +125,14 @@ class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
class="cmr-12">for details.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-7-"><td style="white-space:normal; text-align:left;" id="TBL-14-7-1"
class="td11"> <!--l. 809--><p class="noindent" ><code class="lstinline"><span style="color:#000000">amold</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-7-2"
class="td11"> <!--l. 809--><p class="noindent" ><code class="lstinline"><span style="color:#000000">class</span><span style="color:#000000">(</span><span style="color:#000000">psb_</span></code><span
class="td11"> <!--l. 818--><p class="noindent" ><code class="lstinline"><span style="color:#000000">amold</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-7-2"
class="td11"> <!--l. 818--><p class="noindent" ><code class="lstinline"><span style="color:#000000">class</span><span style="color:#000000">(</span><span style="color:#000000">psb_</span></code><span
class="cmti-12">x</span><code class="lstinline"><span style="color:#000000">_base_sparse_mat</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">optional</span></code><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-8-"><td style="white-space:normal; text-align:left;" id="TBL-14-8-1"
class="td11"> <!--l. 810--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-8-2"
class="td11"> <!--l. 810--><p class="noindent" ><span
class="td11"> <!--l. 819--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-8-2"
class="td11"> <!--l. 819--><p class="noindent" ><span
class="cmr-12">The desired dynamic type for internal matrix components; this</span>
<span
class="cmr-12">allows e.g. running on GPUs; it needs not be the same on all</span>
@@ -145,33 +145,33 @@ class="cmr-12">]</span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-9-"><td style="white-space:normal; text-align:left;" id="TBL-14-9-1"
class="td11"> <!--l. 814--><p class="noindent" ><code class="lstinline"><span style="color:#000000">vmold</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-9-2"
class="td11"> <!--l. 814--><p class="noindent" ><code class="lstinline"><span style="color:#000000">class</span><span style="color:#000000">(</span><span style="color:#000000">psb_</span></code><span
class="td11"> <!--l. 823--><p class="noindent" ><code class="lstinline"><span style="color:#000000">vmold</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-9-2"
class="td11"> <!--l. 823--><p class="noindent" ><code class="lstinline"><span style="color:#000000">class</span><span style="color:#000000">(</span><span style="color:#000000">psb_</span></code><span
class="cmti-12">x</span><code class="lstinline"><span style="color:#000000">_base_vect_type</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">optional</span></code><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-14-10-"><td style="white-space:normal; text-align:left;" id="TBL-14-10-1"
class="td11"> <!--l. 815--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-10-2"
class="td11"> <!--l. 815--><p class="noindent" ><span
class="td11"> <!--l. 824--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-10-2"
class="td11"> <!--l. 824--><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-14-11-"><td style="white-space:normal; text-align:left;" id="TBL-14-11-1"
class="td11"> <!--l. 817--><p class="noindent" ><code class="lstinline"><span style="color:#000000">imold</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-11-2"
class="td11"> <!--l. 817--><p class="noindent" ><code class="lstinline"><span style="color:#000000">class</span><span style="color:#000000">(</span><span style="color:#000000">psb_i_base_vect_type</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">optional</span></code><span
class="td11"> <!--l. 826--><p class="noindent" ><code class="lstinline"><span style="color:#000000">imold</span></code> </td><td style="white-space:normal; text-align:left;" id="TBL-14-11-2"
class="td11"> <!--l. 826--><p class="noindent" ><code class="lstinline"><span style="color:#000000">class</span><span style="color:#000000">(</span><span style="color:#000000">psb_i_base_vect_type</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">intent</span><span style="color:#000000">(</span><span style="color:#000000">in</span><span style="color:#000000">),</span><span style="color:#000000"> </span><span style="color:#000000">optional</span></code><span
class="cmr-12">.</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. 818--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-12-2"
class="td11"> <!--l. 818--><p class="noindent" ><span
class="td11"> <!--l. 827--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-12-2"
class="td11"> <!--l. 827--><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
style="vertical-align:baseline;" id="TBL-14-13-"><td style="white-space:normal; text-align:left;" id="TBL-14-13-1"
class="td11"> </td> </tr></table> </div>
<!--l. 823--><p class="noindent" ><span
<!--l. 832--><p class="noindent" ><span
class="cmr-12">The method can be used to build multilevel preconditioners too.</span>
@@ -179,7 +179,7 @@ class="cmr-12">The method can be used to build multilevel preconditioners too.</
<!--l. 828--><div class="crosslinks"><p class="noindent"><span
<!--l. 837--><div class="crosslinks"><p class="noindent"><span
class="cmr-12">[</span><a
href="userhtmlsu13.html" ><span
class="cmr-12">next</span></a><span
@@ -196,6 +196,6 @@ class="cmr-12">] [</span><a
href="userhtmlse5.html#userhtmlsu12.html" ><span
class="cmr-12">up</span></a><span
class="cmr-12">] </span></p></div>
<!--l. 828--><p class="indent" > <a
<!--l. 837--><p class="indent" > <a
id="tailuserhtmlsu12.html"></a>
</body></html>