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Added Polynomial Smoother infos
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+127
-169
@@ -40,56 +40,46 @@ class="cmr-12">PSBLAS</span><span
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class="cmr-12"> </span><span class="cite"><span
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class="cmr-12">[</span><a
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href="userhtmlli5.html#XPSBLASGUIDE"><span
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class="cmr-12">20</span></a><span
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class="cmr-12">21</span></a><span
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class="cmr-12">]</span></span><span
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class="cmr-12">.</span>
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<!--l. 9--><p class="indent" > <span
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class="cmr-12">The following steps are required:</span>
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<ol class="enumerate1" >
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<li
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||||
class="enumerate" id="x14-13002x1"><span
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||||
<li
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||||
class="enumerate" id="x14-13002x1">
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<!--l. 11--><p class="noindent" ><span
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class="cmti-12">Declare the preconditioner data structure</span><span
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class="cmr-12">. It is a derived data type,</span>
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<span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">amg_</span></span></span><span
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class="cmti-12">x</span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">prec_</span></span></span> <span class="obeylines-h"><span class="verb"><span
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||||
class="cmtt-12">type</span></span></span><span
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||||
<span class="obeylines-h"><code class="verb">amg_</code></span><span
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class="cmti-12">x</span><span class="obeylines-h"><code class="verb">prec_</code></span> <span class="obeylines-h"><code class="verb">type</code></span><span
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class="cmr-12">, where </span><span
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class="cmti-12">x </span><span
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class="cmr-12">may be </span><span class="obeylines-h"><span class="verb"><span
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||||
class="cmtt-12">s</span></span></span><span
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class="cmr-12">, </span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">d</span></span></span><span
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class="cmr-12">, </span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">c</span></span></span> <span
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class="cmr-12">or </span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">z</span></span></span><span
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class="cmr-12">may be </span><span class="obeylines-h"><code class="verb">s</code></span><span
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||||
class="cmr-12">, </span><span class="obeylines-h"><code class="verb">d</code></span><span
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class="cmr-12">, </span><span class="obeylines-h"><code class="verb">c</code></span> <span
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class="cmr-12">or </span><span class="obeylines-h"><code class="verb">z</code></span><span
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class="cmr-12">, according to the basic data</span>
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<span
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class="cmr-12">type of the sparse matrix (</span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">s</span></span></span> <span
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class="cmr-12">= real single precision; </span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">d</span></span></span> <span
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class="cmr-12">type of the sparse matrix (</span><span class="obeylines-h"><code class="verb">s</code></span> <span
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class="cmr-12">= real single precision; </span><span class="obeylines-h"><code class="verb">d</code></span> <span
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class="cmr-12">= real double precision;</span>
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<span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">c</span></span></span> <span
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class="cmr-12">= complex single precision; </span><span class="obeylines-h"><span class="verb"><span
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class="cmtt-12">z</span></span></span> <span
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<span class="obeylines-h"><code class="verb">c</code></span> <span
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class="cmr-12">= complex single precision; </span><span class="obeylines-h"><code class="verb">z</code></span> <span
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class="cmr-12">= complex double precision). This data</span>
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<span
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class="cmr-12">structure is accessed by the user only through the AMG4PSBLAS routines,</span>
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<span
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class="cmr-12">following an object-oriented approach.</span>
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</li>
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<li
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||||
class="enumerate" id="x14-13004x2"><span
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||||
<li
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||||
class="enumerate" id="x14-13004x2">
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||||
<!--l. 19--><p class="noindent" ><span
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class="cmti-12">Allocate and initialize the preconditioner data structure, according to a</span>
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<span
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class="cmti-12">preconditioner type chosen by the user</span><span
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class="cmr-12">. This is performed by the routine</span>
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<span class="lstinline"></span><span
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class="cmtt-12">init</span><span
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<code class="lstinline"><span style="color:#000000">init</span></code><span
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||||
class="cmr-12">, which also sets defaults for each preconditioner type selected by</span>
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<span
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||||
class="cmr-12">the user. The preconditioner types and the defaults associated with them</span>
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@@ -98,34 +88,35 @@ class="cmr-12">are given in Table</span><span
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class="cmr-12"> </span><a
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||||
href="#x14-13015r1"><span
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class="cmr-12">1</span><!--tex4ht:ref: tab:precinit --></a><span
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||||
class="cmr-12">, where the strings used by </span><span class="lstinline"></span><span
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||||
class="cmtt-12">init</span> <span
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||||
class="cmr-12">, where the strings used by </span><code class="lstinline"><span style="color:#000000">init</span></code> <span
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||||
class="cmr-12">to identify the</span>
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||||
<span
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||||
class="cmr-12">preconditioner types are also given. Note that these strings are valid also if</span>
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||||
<span
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||||
class="cmr-12">uppercase letters are substituted by corresponding lowercase ones.</span>
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||||
</li>
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||||
<li
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||||
class="enumerate" id="x14-13006x3"><span
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||||
<li
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||||
class="enumerate" id="x14-13006x3">
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||||
<!--l. 29--><p class="noindent" ><span
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class="cmti-12">Modify the selected preconditioner type, by properly setting preconditioner</span>
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||||
<span
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||||
class="cmti-12">parameters. </span><span
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||||
class="cmr-12">This is performed by the routine </span><span class="lstinline"></span><span
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||||
class="cmtt-12">set</span><span
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||||
class="cmr-12">This is performed by the routine </span><code class="lstinline"><span style="color:#000000">set</span></code><span
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||||
class="cmr-12">. This routine must be</span>
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||||
<span
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||||
class="cmr-12">called if the user wants to modify the default values of the parameters</span>
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||||
<span
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||||
class="cmr-12">associated with the selected preconditioner type, to obtain a variant of that</span>
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||||
<span
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||||
class="cmr-12">preconditioner. Examples of use of </span><span class="lstinline"></span><span
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||||
class="cmtt-12">set</span> <span
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||||
class="cmr-12">preconditioner. Examples of use of </span><code class="lstinline"><span style="color:#000000">set</span></code> <span
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||||
class="cmr-12">are given in Section</span><span
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||||
class="cmr-12"> </span><a
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||||
href="userhtmlsu6.html#x15-140004.1"><span
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||||
class="cmr-12">4.1</span><!--tex4ht:ref: sec:examples --></a><span
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||||
class="cmr-12">; a complete</span>
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||||
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||||
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||||
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<span
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||||
class="cmr-12">list of all the preconditioner parameters and their allowed and default values</span>
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||||
<span
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||||
@@ -142,62 +133,57 @@ href="userhtmlsu9.html#x19-18015r8"><span
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||||
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
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||||
class="cmr-12">.</span>
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||||
</li>
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||||
<li
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||||
class="enumerate" id="x14-13008x4"><span
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||||
<li
|
||||
class="enumerate" id="x14-13008x4">
|
||||
<!--l. 40--><p class="noindent" ><span
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||||
class="cmti-12">Build the preconditioner for a given matrix</span><span
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||||
class="cmr-12">. If the selected preconditioner is</span>
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||||
<span
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||||
class="cmr-12">multilevel, then two steps must be performed, as specified next.</span>
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||||
|
||||
|
||||
|
||||
<ol class="enumerate2" >
|
||||
<li
|
||||
class="enumerate" id="x14-13009x0"><span
|
||||
<li
|
||||
class="enumerate" id="x14-13009x0">
|
||||
<!--l. 43--><p class="noindent" ><span
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||||
class="cmti-12">Build the AMG hierarchy for a given matrix. </span><span
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||||
class="cmr-12">This is performed by the</span>
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||||
<span
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||||
class="cmr-12">routine </span><span class="lstinline"></span><span
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||||
class="cmtt-12">hierarchy_build</span><span
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||||
class="cmr-12">routine </span><code class="lstinline"><span style="color:#000000">hierarchy_build</span></code><span
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||||
class="cmr-12">.</span>
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||||
</li>
|
||||
<li
|
||||
class="enumerate" id="x14-13010x0"><span
|
||||
<li
|
||||
class="enumerate" id="x14-13010x0">
|
||||
<!--l. 45--><p class="noindent" ><span
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||||
class="cmti-12">Build the preconditioner for a given matrix. </span><span
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||||
class="cmr-12">This is performed by the</span>
|
||||
<span
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||||
class="cmr-12">routine </span><span class="lstinline"></span><span
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||||
class="cmtt-12">smoothers_build</span><span
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||||
class="cmr-12">routine </span><code class="lstinline"><span style="color:#000000">smoothers_build</span></code><span
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||||
class="cmr-12">.</span></li></ol>
|
||||
<!--l. 48--><p class="noindent" ><span
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||||
class="cmr-12">If the selected preconditioner is one-level, it is built in a single step, performed by</span>
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||||
<span
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||||
class="cmr-12">the routine </span><span class="lstinline"></span><span
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||||
class="cmtt-12">bld</span><span
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||||
class="cmr-12">the routine </span><code class="lstinline"><span style="color:#000000">bld</span></code><span
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||||
class="cmr-12">.</span>
|
||||
</li>
|
||||
<li
|
||||
class="enumerate" id="x14-13012x5"><span
|
||||
<li
|
||||
class="enumerate" id="x14-13012x5">
|
||||
<!--l. 50--><p class="noindent" ><span
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||||
class="cmti-12">Apply the preconditioner at each iteration of a Krylov solver. </span><span
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||||
class="cmr-12">This is performed by</span>
|
||||
<span
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||||
class="cmr-12">the method </span><span class="lstinline"></span><span
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||||
class="cmtt-12">apply</span><span
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||||
class="cmr-12">the method </span><code class="lstinline"><span style="color:#000000">apply</span></code><span
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||||
class="cmr-12">. When using the PSBLAS Krylov solvers, this step is</span>
|
||||
<span
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||||
class="cmr-12">completely transparent to the user, since </span><span class="lstinline"></span><span
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||||
class="cmtt-12">apply</span> <span
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||||
class="cmr-12">completely transparent to the user, since </span><code class="lstinline"><span style="color:#000000">apply</span></code> <span
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||||
class="cmr-12">is called by the PSBLAS routine</span>
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||||
<span
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||||
class="cmr-12">implementing the Krylov solver (</span><span class="lstinline"></span><span
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||||
class="cmtt-12">psb_krylov</span><span
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||||
class="cmr-12">implementing the Krylov solver (</span><code class="lstinline"><span style="color:#000000">psb_krylov</span></code><span
|
||||
class="cmr-12">).</span>
|
||||
</li>
|
||||
<li
|
||||
class="enumerate" id="x14-13014x6"><span
|
||||
<li
|
||||
class="enumerate" id="x14-13014x6">
|
||||
<!--l. 54--><p class="noindent" ><span
|
||||
class="cmti-12">Free the preconditioner data structure</span><span
|
||||
class="cmr-12">. This is performed by the routine </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">free</span><span
|
||||
class="cmr-12">. This is performed by the routine </span><code class="lstinline"><span style="color:#000000">free</span></code><span
|
||||
class="cmr-12">.</span>
|
||||
<span
|
||||
class="cmr-12">This step is complementary to step 1 and should be performed when the</span>
|
||||
@@ -231,28 +217,28 @@ class="cmr-12">.</span>
|
||||
>
|
||||
<!--l. 64--><p class="noindent" >
|
||||
<div class="tabular"> <table id="TBL-1" class="tabular"
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||||
cellspacing="0" cellpadding="0"
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||||
|
||||
><colgroup id="TBL-1-1g"><col
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||||
id="TBL-1-1"></colgroup><colgroup id="TBL-1-2g"><col
|
||||
id="TBL-1-2"></colgroup><colgroup id="TBL-1-3g"><col
|
||||
id="TBL-1-3"></colgroup><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-1-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-1-1"
|
||||
class="td11"><span
|
||||
class="td11"> <span
|
||||
class="cmcsc-10x-x-109"><span
|
||||
class="small-caps">t</span><span
|
||||
class="small-caps">y</span><span
|
||||
class="small-caps">p</span><span
|
||||
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-1-1-2"
|
||||
class="td11"><!--l. 68--><p class="noindent" ><span
|
||||
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-1-1-2"
|
||||
class="td11"> <!--l. 68--><p class="noindent" ><span
|
||||
class="cmcsc-10x-x-109"><span
|
||||
class="small-caps">s</span><span
|
||||
class="small-caps">t</span><span
|
||||
class="small-caps">r</span><span
|
||||
class="small-caps">i</span><span
|
||||
class="small-caps">n</span><span
|
||||
class="small-caps">g</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-1-3"
|
||||
class="td11"><!--l. 68--><p class="noindent" ><span
|
||||
class="small-caps">g</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-1-3"
|
||||
class="td11"> <!--l. 68--><p class="noindent" ><span
|
||||
class="cmcsc-10x-x-109"><span
|
||||
class="small-caps">d</span><span
|
||||
class="small-caps">e</span><span
|
||||
@@ -274,121 +260,98 @@ class="small-caps">i</span><span
|
||||
class="small-caps">o</span><span
|
||||
class="small-caps">n</span><span
|
||||
class="small-caps">e</span><span
|
||||
class="small-caps">r</span></span> </td></tr><tr
|
||||
class="small-caps">r</span></span> </td></tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-2-1"
|
||||
class="td11">No preconditioner </td><td style="white-space:normal; text-align:left;" id="TBL-1-2-2"
|
||||
class="td11"><!--l. 69--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">NONE</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-2-3"
|
||||
class="td11"><!--l. 69--><p class="noindent" >Considered to use the PSBLAS Krylov
|
||||
solvers with no preconditioner. </td>
|
||||
class="td11">
|
||||
No preconditioner </td><td style="white-space:normal; text-align:left;" id="TBL-1-2-2"
|
||||
class="td11"> <!--l. 69--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">NONE</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-2-3"
|
||||
class="td11"> <!--l. 69--><p class="noindent" >Considered to use the PSBLAS Krylov
|
||||
solvers with no preconditioner.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-3-1"
|
||||
class="td11">Diagonal </td><td style="white-space:normal; text-align:left;" id="TBL-1-3-2"
|
||||
class="td11"><!--l. 71--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">DIAG</span><span
|
||||
class="cmtt-10x-x-109">’</span>,
|
||||
<span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">JACOBI</span><span
|
||||
class="cmtt-10x-x-109">’</span>,
|
||||
<span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">JACOBI</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-3-3"
|
||||
class="td11"><!--l. 71--><p class="noindent" >Diagonal preconditioner. For any zero
|
||||
diagonal entry of the matrix to be
|
||||
preconditioned, the corresponding entry
|
||||
of the preconditioner is set to 1. </td>
|
||||
class="td11">
|
||||
Diagonal </td><td style="white-space:normal; text-align:left;" id="TBL-1-3-2"
|
||||
class="td11"> <!--l. 71--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">DIAG</span><span style="color:#000000">’</span></code>,
|
||||
<code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">JACOBI</span><span style="color:#000000">’</span></code>,
|
||||
<code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">L1</span><span style="color:#000000">-</span><span style="color:#000000">JACOBI</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-3-3"
|
||||
class="td11"> <!--l. 71--><p class="noindent" >Diagonal preconditioner. For any zero
|
||||
diagonal entry of the matrix to be
|
||||
preconditioned, the corresponding entry
|
||||
of the preconditioner is set to 1.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-4-1"
|
||||
class="td11">Gauss-Seidel </td><td style="white-space:normal; text-align:left;" id="TBL-1-4-2"
|
||||
class="td11"><!--l. 74--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">GS</span><span
|
||||
class="cmtt-10x-x-109">’</span>,
|
||||
<span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">GS</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-4-3"
|
||||
class="td11"><!--l. 74--><p class="noindent" >Hybrid Gauss-Seidel (forward), that is,
|
||||
global block Jacobi with Gauss-Seidel as
|
||||
local solver. </td>
|
||||
class="td11">
|
||||
Gauss-Seidel </td><td style="white-space:normal; text-align:left;" id="TBL-1-4-2"
|
||||
class="td11"> <!--l. 74--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">GS</span><span style="color:#000000">’</span></code>,
|
||||
<code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">L1</span><span style="color:#000000">-</span><span style="color:#000000">GS</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-4-3"
|
||||
class="td11"> <!--l. 74--><p class="noindent" >Hybrid Gauss-Seidel (forward), that is,
|
||||
global block Jacobi with Gauss-Seidel as
|
||||
local solver.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-5-1"
|
||||
class="td11">Symmetrized Gauss-Seidel</td><td style="white-space:normal; text-align:left;" id="TBL-1-5-2"
|
||||
class="td11"><!--l. 77--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">FBGS</span><span
|
||||
class="cmtt-10x-x-109">’</span>,
|
||||
<span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">FBGS</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-5-3"
|
||||
class="td11"><!--l. 77--><p class="noindent" >Symmetrized hybrid Gauss-Seidel, that
|
||||
is, forward Gauss-Seidel followed by
|
||||
backward Gauss-Seidel. </td>
|
||||
class="td11">
|
||||
Symmetrized Gauss-Seidel </td><td style="white-space:normal; text-align:left;" id="TBL-1-5-2"
|
||||
class="td11"> <!--l. 77--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">FBGS</span><span style="color:#000000">’</span></code>,
|
||||
<code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">L1</span><span style="color:#000000">-</span><span style="color:#000000">FBGS</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-5-3"
|
||||
class="td11"> <!--l. 77--><p class="noindent" >Symmetrized hybrid Gauss-Seidel, that
|
||||
is, forward Gauss-Seidel followed by
|
||||
backward Gauss-Seidel.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-6-1"
|
||||
class="td11">Block Jacobi </td><td style="white-space:normal; text-align:left;" id="TBL-1-6-2"
|
||||
class="td11"><!--l. 80--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">BJAC</span><span
|
||||
class="cmtt-10x-x-109">’</span>,
|
||||
<span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">BJAC</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-6-3"
|
||||
class="td11"><!--l. 80--><p class="noindent" >Block-Jacobi with ILU(0) on the local
|
||||
blocks. </td>
|
||||
class="td11">
|
||||
Block Jacobi </td><td style="white-space:normal; text-align:left;" id="TBL-1-6-2"
|
||||
class="td11"> <!--l. 80--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">BJAC</span><span style="color:#000000">’</span></code>,
|
||||
<code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">L1</span><span style="color:#000000">-</span><span style="color:#000000">BJAC</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-6-3"
|
||||
class="td11"> <!--l. 80--><p class="noindent" >Block-Jacobi with ILU(0) on the local
|
||||
blocks.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-7-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-7-1"
|
||||
class="td11">Additive Schwarz </td><td style="white-space:normal; text-align:left;" id="TBL-1-7-2"
|
||||
class="td11"><!--l. 81--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">AS</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-7-3"
|
||||
class="td11"><!--l. 81--><p class="noindent" >Additive Schwarz (AS), with overlap 1
|
||||
and ILU(0) on the local blocks. </td>
|
||||
class="td11">
|
||||
Additive Schwarz </td><td style="white-space:normal; text-align:left;" id="TBL-1-7-2"
|
||||
class="td11"> <!--l. 81--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">AS</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-7-3"
|
||||
class="td11"> <!--l. 81--><p class="noindent" >Additive Schwarz (AS), with overlap 1
|
||||
and ILU(0) on the local blocks.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-8-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-8-1"
|
||||
class="td11">Multilevel </td><td style="white-space:normal; text-align:left;" id="TBL-1-8-2"
|
||||
class="td11"><!--l. 83--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">ML</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-8-3"
|
||||
class="td11"><!--l. 83--><p class="noindent" >V-cycle with one hybrid
|
||||
forward Gauss-Seidel (GS) sweep as
|
||||
pre-smoother and one hybrid backward
|
||||
GS sweep as post-smoother, decoupled
|
||||
smoothed aggregation as coarsening
|
||||
algorithm, and LU (plus triangular solve)
|
||||
as coarsest-level solver. See the default
|
||||
values in Tables <a
|
||||
class="td11">
|
||||
Multilevel </td><td style="white-space:normal; text-align:left;" id="TBL-1-8-2"
|
||||
class="td11"> <!--l. 83--><p class="noindent" ><code class="lstinline"><span style="color:#000000">’</span><span style="color:#000000">ML</span><span style="color:#000000">’</span></code>
|
||||
</td><td style="white-space:normal; text-align:left;" id="TBL-1-8-3"
|
||||
class="td11"> <!--l. 83--><p class="noindent" >V-cycle with one hybrid
|
||||
forward Gauss-Seidel (GS) sweep as
|
||||
pre-smoother and one hybrid backward
|
||||
GS sweep as post-smoother, decoupled
|
||||
smoothed aggregation as coarsening
|
||||
algorithm, and LU (plus triangular solve)
|
||||
as coarsest-level solver. See the default
|
||||
values in Tables <a
|
||||
href="userhtmlsu9.html#x19-18009r2">2<!--tex4ht:ref: tab:p_cycle --></a>-<a
|
||||
href="userhtmlsu9.html#x19-18015r8">8<!--tex4ht:ref: tab:p_smoother_1 --></a> for further details of
|
||||
the preconditioner. </td>
|
||||
the preconditioner.
|
||||
</td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-9-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-9-1"
|
||||
class="td11"> </td></tr></table></div>
|
||||
class="td11"> </td></tr></table> </div>
|
||||
<br /> <div class="caption"
|
||||
><span class="id">Table 1: </span><span
|
||||
class="content">Preconditioner types, corresponding strings and default choices. </span></div><!--tex4ht:label?: x14-13015r1 -->
|
||||
@@ -399,18 +362,15 @@ class="content">Preconditioner types, corresponding strings and default choices.
|
||||
</div><hr class="endfloat" />
|
||||
</div>
|
||||
<!--l. 98--><p class="indent" > <span
|
||||
class="cmr-12">Note that the module </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">amg_prec_mod</span><span
|
||||
class="cmr-12">Note that the module </span><code class="lstinline"><span style="color:#000000">amg_prec_mod</span></code><span
|
||||
class="cmr-12">, containing the definition of the preconditioner</span>
|
||||
<span
|
||||
class="cmr-12">data type and the interfaces to the routines of AMG4PSBLAS, must be used</span>
|
||||
<span
|
||||
class="cmr-12">in any program calling such routines. The modules </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">psb_base_mod</span><span
|
||||
class="cmr-12">in any program calling such routines. The modules </span><code class="lstinline"><span style="color:#000000">psb_base_mod</span></code><span
|
||||
class="cmr-12">, for the</span>
|
||||
<span
|
||||
class="cmr-12">sparse matrix and communication descriptor data types, and </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">psb_krylov_mod</span><span
|
||||
class="cmr-12">sparse matrix and communication descriptor data types, and </span><code class="lstinline"><span style="color:#000000">psb_krylov_mod</span></code><span
|
||||
class="cmr-12">,</span>
|
||||
<span
|
||||
class="cmr-12">for interfacing with the Krylov solvers, must be also used (see Section</span><span
|
||||
@@ -436,13 +396,11 @@ class="cmr-12">problems. However, this does not necessarily correspond to the sh
|
||||
class="cmr-12">on parallel</span><span
|
||||
class="cmr-12"> computers.</span>
|
||||
<div class="subsectionTOCS">
|
||||
<span
|
||||
class="cmr-12"> </span><span class="subsectionToc" ><span
|
||||
<span class="subsectionToc" ><span
|
||||
class="cmr-12">4.1 </span><a
|
||||
href="userhtmlsu6.html#x15-140004.1"><span
|
||||
class="cmr-12">Examples</span></a></span>
|
||||
<br /> <span
|
||||
class="cmr-12"> </span><span class="subsectionToc" ><span
|
||||
<br /> <span class="subsectionToc" ><span
|
||||
class="cmr-12">4.2 </span><a
|
||||
href="userhtmlsu7.html#x16-150004.2"><span
|
||||
class="cmr-12">GPU example</span></a></span>
|
||||
|
||||
Reference in New Issue
Block a user