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<head><title>Method set</title>
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<!--l. 87--><div class="crosslinks"><p class="noindent"><span
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<h4 class="subsectionHead"><span class="titlemark"><span
class="cmr-12">6.2 </span></span> <a
id="x21-200006.2"></a><span
class="cmr-12">Method set</span></h4>
<div class="center"
>
<!--l. 89--><p class="noindent" >
<!--l. 90--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">call</span><span
class="cmtt-12">&#x00A0;p%set(what,val,info</span><span
class="cmtt-12">&#x00A0;[,ilev,</span><span
class="cmtt-12">&#x00A0;ilmax,</span><span
class="cmtt-12">&#x00A0;pos,</span><span
class="cmtt-12">&#x00A0;idx])</span></span></span></div>
<!--l. 93--><p class="noindent" ><span
class="cmr-12">This method sets the parameters defining the preconditioner </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">p</span></span></span><span
class="cmr-12">. More precisely, the</span>
<span
class="cmr-12">parameter identified by </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">what</span></span></span> <span
class="cmr-12">is assigned the value contained in </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">val</span></span></span><span
class="cmr-12">.</span>
<!--l. 98--><p class="noindent" ><span
class="cmbx-12">Arguments</span>
<div class="tabular"> <table id="TBL-3" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-3-1g"><col
id="TBL-3-1"><col
id="TBL-3-2"></colgroup><tr
style="vertical-align:baseline;" id="TBL-3-1-"><td style="white-space:wrap; text-align:left;" id="TBL-3-1-1"
class="td11"><!--l. 105--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">what</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-3-1-2"
class="td11"><!--l. 105--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">character(len=*)</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-2-"><td style="white-space:wrap; text-align:left;" id="TBL-3-2-1"
class="td11"><!--l. 106--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-2-2"
class="td11"><!--l. 106--><p class="noindent" ><span
class="cmr-12">The parameter to be set. It can be specified through its name; the</span>
<span
class="cmr-12">string is case-insensitive. See Tables</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200092"><span
class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
class="cmr-12">-</span><a
href="#x21-200158"><span
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-3-"><td style="white-space:wrap; text-align:left;" id="TBL-3-3-1"
class="td11"><!--l. 109--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">val</span><span
class="cmtt-12">&#x00A0;</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-3-3-2"
class="td11"><!--l. 109--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">integer</span></span></span> <span
class="cmti-12">or </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">character(len=*)</span></span></span> <span
class="cmti-12">or </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">real(psb_spk_)</span></span></span> <span
class="cmti-12">or</span>
<span class="obeylines-h"><span class="verb"><span
class="cmtt-12">real(psb_dpk_)</span></span></span><span
class="cmr-12">, </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">intent(in)</span></span></span><span
class="cmr-12">.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-4-"><td style="white-space:wrap; text-align:left;" id="TBL-3-4-1"
class="td11"><!--l. 112--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-4-2"
class="td11"><!--l. 112--><p class="noindent" ><span
class="cmr-12">The value of the parameter to be set. The list of allowed values and</span>
<span
class="cmr-12">the corresponding data types is given in Tables</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200092"><span
class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
class="cmr-12">-</span><a
href="#x21-200158"><span
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
class="cmr-12">. When the value</span>
<span
class="cmr-12">is of type </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">character(len=*)</span></span></span><span
class="cmr-12">, it is also treated as case insensitive.</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-5-"><td style="white-space:wrap; text-align:left;" id="TBL-3-5-1"
class="td11"><!--l. 117--><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-3-5-2"
class="td11"><!--l. 117--><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-3-6-"><td style="white-space:wrap; text-align:left;" id="TBL-3-6-1"
class="td11"><!--l. 118--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-6-2"
class="td11"><!--l. 118--><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-3-7-"><td style="white-space:wrap; text-align:left;" id="TBL-3-7-1"
class="td11"><!--l. 120--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilev</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-3-7-2"
class="td11"><!--l. 120--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">integer,</span><span
class="cmtt-12">&#x00A0;optional,</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-3-8-"><td style="white-space:wrap; text-align:left;" id="TBL-3-8-1"
class="td11"><!--l. 121--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-8-2"
class="td11"><!--l. 121--><p class="noindent" ><span
class="cmr-12">For the multilevel preconditioner, the level at which the</span>
<span
class="cmr-12">preconditioner parameter has to be set. The levels are numbered</span>
<span
class="cmr-12">in increasing order starting from the finest one, i.e., level 1 is the</span>
<span
class="cmr-12">finest level. If </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilev</span></span></span> <span
class="cmr-12">is not present, the parameter identified by </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">what</span></span></span>
<span
class="cmr-12">is set at all the appropriate levels (see Tables</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200092"><span
class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
class="cmr-12">-</span><a
href="#x21-200158"><span
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
class="cmr-12">).</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-9-"><td style="white-space:wrap; text-align:left;" id="TBL-3-9-1"
class="td11"><!--l. 128--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilmax</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-3-9-2"
class="td11"><!--l. 128--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">integer,</span><span
class="cmtt-12">&#x00A0;optional,</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-3-10-"><td style="white-space:wrap; text-align:left;" id="TBL-3-10-1"
class="td11"><!--l. 129--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-10-2"
class="td11"><!--l. 129--><p class="noindent" ><span
class="cmr-12">For the multilevel preconditioner, when both </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilev</span></span></span> <span
class="cmr-12">and </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilmax</span></span></span> <span
class="cmr-12">are</span>
<span
class="cmr-12">present, the settings are applied at all levels </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilev:ilmax</span></span></span><span
class="cmr-12">. When</span>
<span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilev</span></span></span> <span
class="cmr-12">is present but </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilmax</span></span></span> <span
class="cmr-12">is not, then the default is </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilmax=ilev</span></span></span><span
class="cmr-12">.</span>
<span
class="cmr-12">The levels are numbered in increasing order starting from the finest</span>
<span
class="cmr-12">one, i.e., level 1 is the finest level.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-11-"><td style="white-space:wrap; text-align:left;" id="TBL-3-11-1"
class="td11"><!--l. 136--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">pos</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-3-11-2"
class="td11"><!--l. 136--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">charater(len=*),</span><span
class="cmtt-12">&#x00A0;optional,</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-3-12-"><td style="white-space:wrap; text-align:left;" id="TBL-3-12-1"
class="td11"><!--l. 137--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-12-2"
class="td11"><!--l. 137--><p class="noindent" ><span
class="cmr-12">Whether the other arguments apply only to the pre-smoother</span>
<span
class="cmr-12">(</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">&#8217;PRE&#8217;</span></span></span><span
class="cmr-12">) or to the post-smoother (</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">&#8217;POST&#8217;</span></span></span><span
class="cmr-12">). If </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">pos</span></span></span> <span
class="cmr-12">is not present,</span>
<span
class="cmr-12">the other arguments are applied to both smoothers. If the</span>
<span
class="cmr-12">preconditioner is one-level or the parameter identified by </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">what</span></span></span> <span
class="cmr-12">does</span>
<span
class="cmr-12">not concern the smoothers, </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">pos</span></span></span> <span
class="cmr-12">is ignored.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-3-13-"><td style="white-space:wrap; text-align:left;" id="TBL-3-13-1"
class="td11"><!--l. 142--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">idx</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-3-13-2"
class="td11"><!--l. 142--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">integer,</span><span
class="cmtt-12">&#x00A0;optional,</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-3-14-"><td style="white-space:wrap; text-align:left;" id="TBL-3-14-1"
class="td11"><!--l. 143--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-3-14-2"
class="td11"><!--l. 143--><p class="noindent" ><span
class="cmr-12">An auxiliary input argument that can be passed to the underlying</span>
<span
class="cmr-12">objects.</span> </td>
</tr></table></div>
<!--l. 148--><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. 151--><p class="noindent" >
<!--l. 152--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">call</span><span
class="cmtt-12">&#x00A0;mld_precset(p,what,val,info)</span></span></span></div>
<!--l. 155--><p class="noindent" ><span
class="cmr-12">However, in this case the optional arguments </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilev</span></span></span><span
class="cmr-12">, </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">ilmax</span></span></span><span
class="cmr-12">, </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">pos</span></span></span> <span
class="cmr-12">and </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">idx</span></span></span> <span
class="cmr-12">cannot be</span>
<span
class="cmr-12">used. </span><br
class="newline" />
<!--l. 160--><p class="indent" > <span
class="cmr-12">A variety of preconditioners can be obtained by a suitable setting of the</span>
<span
class="cmr-12">preconditioner parameters. These parameters can be logically divided into four groups,</span>
<span
class="cmr-12">i.e., parameters defining</span>
<ol class="enumerate1" >
<li
class="enumerate" id="x21-20002x1"><span
class="cmr-12">the type of multilevel cycle and how many cycles must be applied;</span>
</li>
<li
class="enumerate" id="x21-20004x2"><span
class="cmr-12">the aggregation algorithm;</span>
</li>
<li
class="enumerate" id="x21-20006x3"><span
class="cmr-12">the coarse-space correction at the coarsest level (for multilevel</span>
<span
class="cmr-12">preconditioners only);</span>
</li>
<li
class="enumerate" id="x21-20008x4"><span
class="cmr-12">the smoother of the multilevel preconditioners, or the one-level</span>
<span
class="cmr-12">preconditioner.</span>
</li></ol>
<!--l. 172--><p class="noindent" ><span
class="cmr-12">A list of the parameters that can be set, along with their allowed and default values, is</span>
<span
class="cmr-12">given in Tables</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200092"><span
class="cmr-12">2</span><!--tex4ht:ref: tab:p_cycle --></a><span
class="cmr-12">-</span><a
href="#x21-200158"><span
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
class="cmr-12">. For a description of the meaning of the parameters, please refer</span>
<span
class="cmr-12">also to Section</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlse4.html#x13-120004"><span
class="cmr-12">4</span><!--tex4ht:ref: sec:background --></a><span
class="cmr-12">. </span><br
class="newline" />
<!--l. 177--><p class="indent" > <span
class="cmbx-12">Remark 2. </span><span
class="cmr-12">A smoother is usually obtained by combining two objects:</span>
<span
class="cmr-12">a smoother (</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">SMOOTHER_TYPE</span></span></span><span
class="cmr-12">) and a local solver (</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">SUB_SOLVE</span></span></span><span
class="cmr-12">), as specified</span>
<span
class="cmr-12">in Tables</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200147"><span
class="cmr-12">7</span><!--tex4ht:ref: tab:p_smoother --></a><span
class="cmr-12">-</span><a
href="#x21-200158"><span
class="cmr-12">8</span><!--tex4ht:ref: tab:p_smoother_1 --></a><span
class="cmr-12">. For example, the block-Jacobi smoother using ILU(0) on the</span>
<span
class="cmr-12">blocks is obtained by combining the block-Jacobi smoother object with the</span>
<span
class="cmr-12">ILU(0) solver object. Similarly, the hybrid Gauss-Seidel smoother (see Note in</span>
<span
class="cmr-12">Table</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200147"><span
class="cmr-12">7</span><!--tex4ht:ref: tab:p_smoother --></a><span
class="cmr-12">) is obtained by combining the block-Jacobi smoother object with a</span>
<span
class="cmr-12">single sweep of the Gauss-Seidel solver object, while the point-Jacobi smoother</span>
<span
class="cmr-12">is the result of combining the block-Jacobi smoother object with a single</span>
<span
class="cmr-12">sweep of the pointwise-Jacobi solver object. However, for simplicity, shortcuts</span>
<span
class="cmr-12">are provided to set point-Jacobi, hybrid (forward) Gauss-Seidel, and hybrid</span>
<span
class="cmr-12">backward Gauss-Seidel, i.e., the previous smoothers can be defined by setting only</span>
<span class="obeylines-h"><span class="verb"><span
class="cmtt-12">SMOOTHER_TYPE</span></span></span> <span
class="cmr-12">to appropriate values (see Tables</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200147"><span
class="cmr-12">7</span><!--tex4ht:ref: tab:p_smoother --></a><span
class="cmr-12">), i.e., without setting </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">SUB_SOLVE</span></span></span>
<span
class="cmr-12">too.</span>
<!--l. 194--><p class="indent" > <span
class="cmr-12">The smoother and solver objects are arranged in a hierarchical manner. When</span>
<span
class="cmr-12">specifying a smoother object, its parameters, including the local solver, are set to</span>
<span
class="cmr-12">their default values, and when a solver object is specified, its defaults are also</span>
<span
class="cmr-12">set, overriding in both cases any previous settings even if explicitly specified.</span>
<span
class="cmr-12">Therefore if the user sets a smoother, and wishes to use a solver different from</span>
<span
class="cmr-12">the default one, the call to set the solver must come </span><span
class="cmti-12">after </span><span
class="cmr-12">the call to set the</span>
<span
class="cmr-12">smoother.</span>
<!--l. 203--><p class="indent" > <span
class="cmr-12">Similar considerations apply to the point-Jacobi, Gauss-Seidel and block-Jacobi</span>
<span
class="cmr-12">coarsest-level solvers, and shortcuts are available in this case too (see Table</span><span
class="cmr-12">&#x00A0;</span><a
href="#x21-200125"><span
class="cmr-12">5</span><!--tex4ht:ref: tab:p_coarse --></a><span
class="cmr-12">).</span>
<br
class="newline" />
<!--l. 207--><p class="indent" > <span
class="cmbx-12">Remark 3. </span><span
class="cmr-12">In general, a coarsest-level solver cannot be used with both the</span>
<span
class="cmr-12">replicated and distributed coarsest-matrix layout; therefore, setting the solver after the</span>
<span
class="cmr-12">layout may change the layout. Similarly, setting the layout after the solver may change</span>
<span
class="cmr-12">the solver.</span>
<!--l. 212--><p class="indent" > <span
class="cmr-12">More precisely, UMFPACK and SuperLU require the coarsest-level matrix to be</span>
<span
class="cmr-12">replicated, while SuperLU</span><span
class="cmr-12">_Dist requires it to be distributed. In these cases, setting the</span>
<span
class="cmr-12">coarsest-level solver implies that the layout is redefined according to the solver,</span>
<span
class="cmr-12">ovverriding any previous settings. MUMPS, point-Jacobi, hybrid Gauss-Seidel and</span>
<span
class="cmr-12">block-Jacobi can be applied to replicated and distributed matrices, thus their choice</span>
<span
class="cmr-12">does not modify any previously specified layout. It is worth noting that, when the</span>
<span
class="cmr-12">matrix is replicated, the point-Jacobi, hybrid Gauss-Seidel and block-Jacobi</span>
<span
class="cmr-12">solvers reduce to the corresponding local solver objects (see Remark</span><span
class="cmr-12">&#x00A0;2). For the</span>
<span
class="cmr-12">point-Jacobi and Gauss-Seidel solvers, these objects correspond to a </span><span
class="cmti-12">single</span>
<span
class="cmr-12">point-Jacobi sweep and a </span><span
class="cmti-12">single </span><span
class="cmr-12">Gauss-Seidel sweep, respectively, which are very poor</span>
<span
class="cmr-12">solvers.</span>
<!--l. 227--><p class="indent" > <span
class="cmr-12">On the other hand, the distributed layout can be used with any solver but</span>
<span
class="cmr-12">UMFPACK and SuperLU; therefore, if any of these two solvers has already been</span>
<span
class="cmr-12">selected, the coarsest-level solver is changed to block-Jacobi, with the previously</span>
<span
class="cmr-12">chosen solver applied to the local blocks. Likewise, the replicated layout can be</span>
<span
class="cmr-12">used with any solver but SuperLu</span><span
class="cmr-12">_Dist; therefore, if SuperLu</span><span
class="cmr-12">_Dist has been</span>
<span
class="cmr-12">previously set, the coarsest-level solver is changed to the default sequential</span>
<span
class="cmr-12">solver.</span>
<!--l. 235--><p class="indent" > <span
class="cmbx-12">Remark 4. </span><span
class="cmr-12">The argument </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">idx</span></span></span> <span
class="cmr-12">can be used to allow finer control for those solvers;</span>
<span
class="cmr-12">for instance, by specifying the keyword </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">MUMPS_IPAR_ENTRY</span></span></span> <span
class="cmr-12">and an appropriate value</span>
<span
class="cmr-12">for </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-12">idx</span></span></span><span
class="cmr-12">, it is possible to set any entry in the MUMPS integer control array. See also</span>
<span
class="cmr-12">Sec.</span><span
class="cmr-12">&#x00A0;</span><a
href="userhtmlse7.html#x29-330007"><span
class="cmr-12">7</span><!--tex4ht:ref: sec:adding --></a><span
class="cmr-12">.</span>
<div class="table">
<!--l. 246--><p class="indent" > <a
id="x21-200092"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 246--><p class="noindent" >
<div class="tabular"> <table id="TBL-4" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-4-1g"><col
id="TBL-4-1"></colgroup><colgroup id="TBL-4-2g"><col
id="TBL-4-2"></colgroup><colgroup id="TBL-4-3g"><col
id="TBL-4-3"></colgroup><colgroup id="TBL-4-4g"><col
id="TBL-4-4"></colgroup><colgroup id="TBL-4-5g"><col
id="TBL-4-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-4-1-"><td style="white-space:wrap; text-align:left;" id="TBL-4-1-1"
class="td11"><!--l. 250--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-4-1-2"
class="td11"><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-4-1-3"
class="td11"><!--l. 250--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-4-1-4"
class="td11"><!--l. 250--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-4-1-5"
class="td11"><!--l. 251--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td></tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-4-2-"><td style="white-space:wrap; text-align:left;" id="TBL-4-2-1"
class="td11"><!--l. 254--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;ML_CYCLE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-4-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-4-2-3"
class="td11"><!--l. 255--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;VCYCLE&#8217;</span>
<!--l. 255--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;WCYCLE&#8217;</span>
<!--l. 255--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;KCYCLE&#8217;</span>
<!--l. 256--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;MULT&#8217;</span>
<!--l. 256--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;ADD&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-4-2-4"
class="td11"><!--l. 257--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;VCYCLE&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-4-2-5"
class="td11"><!--l. 258--><p class="noindent" >Multilevel cycle: V-cycle, W-cycle, K-cycle,
hybrid Multiplicative Schwarz, and
Additive Schwarz.
<!--l. 260--><p class="noindent" >Note that hybrid Multiplicative Schwarz
is equivalent to V-cycle and is included
for compatibility with previous versions of
MLD2P4. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-4-3-"><td style="white-space:wrap; text-align:left;" id="TBL-4-3-1"
class="td11"><!--l. 263--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;OUTER_SWEEPS&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-4-3-2"
class="td11"><span
class="cmtt-10x-x-109">integer </span></td><td style="white-space:wrap; text-align:left;" id="TBL-4-3-3"
class="td11"><!--l. 264--><p class="noindent" >Any integer
<!--l. 264--><p class="noindent" >number <span
class="cmsy-10x-x-109">&#x2265; </span>1 </td><td style="white-space:wrap; text-align:left;" id="TBL-4-3-4"
class="td11"><!--l. 264--><p class="noindent" >1 </td><td style="white-space:wrap; text-align:left;" id="TBL-4-3-5"
class="td11"><!--l. 265--><p class="noindent" >Number of multilevel cycles. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-4-4-"><td style="white-space:wrap; text-align:left;" id="TBL-4-4-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;2: </span><span
class="content">Parameters defining the multilevel cycle and the number of cycles to be
applied. </span></div><!--tex4ht:label?: x21-200092 -->
</div><hr class="endfloat" />
</div>
<div class="table">
<!--l. 285--><p class="indent" > <a
id="x21-200103"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 285--><p class="noindent" >
<div class="tabular"> <table id="TBL-5" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-5-1g"><col
id="TBL-5-1"></colgroup><colgroup id="TBL-5-2g"><col
id="TBL-5-2"></colgroup><colgroup id="TBL-5-3g"><col
id="TBL-5-3"></colgroup><colgroup id="TBL-5-4g"><col
id="TBL-5-4"></colgroup><colgroup id="TBL-5-5g"><col
id="TBL-5-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-1-"><td style="white-space:wrap; text-align:left;" id="TBL-5-1-1"
class="td11"><!--l. 289--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-1-2"
class="td11"><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-5-1-3"
class="td11"><!--l. 289--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-1-4"
class="td11"><!--l. 289--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-1-5"
class="td11"><!--l. 290--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-2-"><td style="white-space:wrap; text-align:left;" id="TBL-5-2-1"
class="td11"><!--l. 293--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;MIN_COARSE_SIZE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-2-3"
class="td11"><!--l. 294--><p class="noindent" >Any number
<!--l. 294--><p class="noindent" ><span
class="cmmi-10x-x-109">&#x003E; </span>0 </td><td style="white-space:wrap; text-align:left;" id="TBL-5-2-4"
class="td11"><!--l. 295--><p class="noindent" ><span
class="cmsy-10x-x-109">&#x230A;</span>40<img
src="userhtml19x.png" alt="&#x221A; --
3 n" class="root" align="middle" ><span
class="cmsy-10x-x-109">&#x230B;</span>, where <span
class="cmmi-10x-x-109">n</span>
is the dimension
of the matrix at
the finest level </td><td style="white-space:wrap; text-align:left;" id="TBL-5-2-5"
class="td11"><!--l. 297--><p class="noindent" >Coarse size threshold. The aggregation
stops if the global number of variables
of the computed coarsest matrix is lower
than or equal to this threshold (see Note).</td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-3-"><td style="white-space:wrap; text-align:left;" id="TBL-5-3-1"
class="td11"><!--l. 309--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;MIN_CR_RATIO&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-3-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">real</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-3-3"
class="td11"><!--l. 310--><p class="noindent" >Any number
<!--l. 310--><p class="noindent" ><span
class="cmmi-10x-x-109">&#x003E; </span>1 </td><td style="white-space:wrap; text-align:left;" id="TBL-5-3-4"
class="td11"><!--l. 311--><p class="noindent" >1.5 </td><td style="white-space:wrap; text-align:left;" id="TBL-5-3-5"
class="td11"><!--l. 312--><p class="noindent" >Minimum
coarsening ratio. The aggregation stops if
the ratio between the matrix dimensions
at two consecutive levels is lower than or
equal to this threshold (see Note). </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-4-"><td style="white-space:wrap; text-align:left;" id="TBL-5-4-1"
class="td11"><!--l. 317--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;MAX_LEVS&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-4-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-4-3"
class="td11"><!--l. 318--><p class="noindent" >Any integer
<!--l. 318--><p class="noindent" >number <span
class="cmmi-10x-x-109">&#x003E; </span>1 </td><td style="white-space:wrap; text-align:left;" id="TBL-5-4-4"
class="td11"><!--l. 319--><p class="noindent" >20 </td><td style="white-space:wrap; text-align:left;" id="TBL-5-4-5"
class="td11"><!--l. 320--><p class="noindent" >Maximum number of levels. The
aggregation stops if the number of levels
reaches this value (see Note). </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-5-"><td style="white-space:wrap; text-align:left;" id="TBL-5-5-1"
class="td11"><!--l. 323--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;PAR_AGGR_ALG&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-5-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-5-5-3"
class="td11"><!--l. 324--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;DEC&#8217;</span>,
<span
class="cmtt-10x-x-109">&#8217;SYMDEC&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-5-4"
class="td11"><!--l. 325--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;DEC&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-5-5"
class="td11"><!--l. 326--><p class="noindent" >Parallel aggregation algorithm.
<!--l. 326--><p class="noindent" >Currently, only the decoupled
aggregation (<span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">DEC</span></span></span>) is available; the <span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">SYMDEC</span></span></span>
option applies decoupled aggregation to
the sparsity pattern of <span
class="cmmi-10x-x-109">A </span>+ <span
class="cmmi-10x-x-109">A</span><sup><span
class="cmmi-8">T</span> </sup>. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-6-"><td style="white-space:wrap; text-align:left;" id="TBL-5-6-1"
class="td11"><!--l. 332--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;AGGR_TYPE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-6-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-5-6-3"
class="td11"><!--l. 333--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SOC1&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-6-4"
class="td11"><!--l. 334--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SOC1&#8217;</span>, <span
class="cmtt-10x-x-109">&#8217;SOC2&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-6-5"
class="td11"><!--l. 336--><p class="noindent" >Type of aggregation algorithm: currently,
we implement to measures of strength of
connection, the one by Van&#x011B;k, Mandel
and Brezina&#x00A0;<span class="cite">[<a
href="userhtmlli4.html#XVANEK_MANDEL_BREZINA">26</a>]</span>, and the one by Gratton
et al&#x00A0;<span class="cite">[<a
href="userhtmlli4.html#XGrHeJi:16">16</a>]</span>. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-7-"><td style="white-space:wrap; text-align:left;" id="TBL-5-7-1"
class="td11"><!--l. 342--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;AGGR_PROL&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-5-7-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-5-7-3"
class="td11"><!--l. 343--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SMOOTHED&#8217;</span>,
<span
class="cmtt-10x-x-109">&#8217;UNSMOOTHED&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-7-4"
class="td11"><!--l. 343--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SMOOTHED&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-5-7-5"
class="td11"><!--l. 344--><p class="noindent" >Prolongator used by the aggregation
algorithm: smoothed or unsmoothed (i.e.,
tentative prolongator). </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-8-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-5-8-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
class="cmbx-10x-x-109">Note. </span>The aggregation algorithm stops when at least one of the following criteria is met: the coarse size threshold, the</div>
</tr><tr
style="vertical-align:baseline;" id="TBL-5-9-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-5-9-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">minimum coarsening ratio, or the maximum number of levels is reached. Therefore, the actual number of levels may be</div>
</tr><tr
style="vertical-align:baseline;" id="TBL-5-10-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-5-10-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">smaller than the specified maximum number of levels. </div>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-5-11-"><td style="white-space:wrap; text-align:left;" id="TBL-5-11-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;3: </span><span
class="content">Parameters defining the aggregation algorithm. </span></div><!--tex4ht:label?: x21-200103 -->
</div><hr class="endfloat" />
</div>
<div class="table">
<!--l. 362--><p class="indent" > <a
id="x21-200114"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 362--><p class="noindent" >
<div class="tabular"> <table id="TBL-6" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-6-1g"><col
id="TBL-6-1"></colgroup><colgroup id="TBL-6-2g"><col
id="TBL-6-2"></colgroup><colgroup id="TBL-6-3g"><col
id="TBL-6-3"></colgroup><colgroup id="TBL-6-4g"><col
id="TBL-6-4"></colgroup><colgroup id="TBL-6-5g"><col
id="TBL-6-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-6-1-"><td style="white-space:wrap; text-align:left;" id="TBL-6-1-1"
class="td11"><!--l. 366--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-1-2"
class="td11"><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-6-1-3"
class="td11"><!--l. 366--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-1-4"
class="td11"><!--l. 366--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-1-5"
class="td11"><!--l. 367--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td></tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-6-2-"><td style="white-space:wrap; text-align:left;" id="TBL-6-2-1"
class="td11"><!--l. 369--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;AGGR_ORD&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-2-3"
class="td11"><!--l. 370--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;NATURAL&#8217;</span>
<!--l. 370--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;DEGREE&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-2-4"
class="td11"><!--l. 371--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;NATURAL&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-2-5"
class="td11"><!--l. 372--><p class="noindent" >Initial ordering of indices for the
aggregation algorithm: either natural
ordering or sorted by descending
degrees of the nodes in the matrix
graph. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-6-3-"><td style="white-space:wrap; text-align:left;" id="TBL-6-3-1"
class="td11"><!--l. 379--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;AGGR_THRESH&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-3-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">real(</span></span></span><span
class="cmti-10x-x-109">kind</span><span
class="cmti-10x-x-109">_parameter</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-6-3-3"
class="td11"><!--l. 380--><p class="noindent" >Any&#x00A0;real
<!--l. 380--><p class="noindent" >number&#x00A0;<span
class="cmsy-10x-x-109">&#x2208;</span>
[0<span
class="cmmi-10x-x-109">,</span>1] </td><td style="white-space:wrap; text-align:left;" id="TBL-6-3-4"
class="td11"><!--l. 381--><p class="noindent" >0.01 </td><td style="white-space:wrap; text-align:left;" id="TBL-6-3-5"
class="td11"><!--l. 382--><p class="noindent" >The threshold <span
class="cmmi-10x-x-109">&#x03B8; </span>in the aggregation
algorithm, see (<a
href="userhtmlsu7.html#x15-14007r3">3<!--tex4ht:ref: eq:strongly_coup --></a>) in Section&#x00A0;<a
href="userhtmlsu7.html#x15-140004.2">4.2<!--tex4ht:ref: sec:aggregation --></a>. See
also the note at the bottom of this table.</td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-6-4-"><td style="white-space:wrap; text-align:left;" id="TBL-6-4-1"
class="td11"><!--l. 421--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;AGGR_FILTER&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-6-4-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-4-3"
class="td11"><!--l. 423--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;FILTER&#8217;</span>
<!--l. 423--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;NOFILTER&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-4-4"
class="td11"><!--l. 424--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;NOFILTER&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-6-4-5"
class="td11"><!--l. 424--><p class="noindent" >Matrix used in computing the smoothed
prolongator: filtered or unfiltered
(see&#x00A0;(<a
href="userhtmlsu7.html#x15-14009r5">5<!--tex4ht:ref: eq:filtered --></a>) in Section&#x00A0;<a
href="userhtmlsu7.html#x15-140004.2">4.2<!--tex4ht:ref: sec:aggregation --></a>). </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-6-5-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-6-5-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
class="cmbx-10x-x-109">Note. </span>Different thresholds at different levels, such as those used in <span class="cite">[<a
href="userhtmlli4.html#XVANEK_MANDEL_BREZINA">26</a>, Section&#x00A0;5.1]</span>, can be easily set by invoking the rou-</div>
</tr><tr
style="vertical-align:baseline;" id="TBL-6-6-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-6-6-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">tine <span
class="cmtt-10x-x-109">set </span>with the parameter <span
class="cmtt-10x-x-109">ilev</span>.</div>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-6-7-"><td style="white-space:wrap; text-align:left;" id="TBL-6-7-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;4: </span><span
class="content">Parameters defining the aggregation algorithm (continued). </span></div><!--tex4ht:label?: x21-200114 -->
</div><hr class="endfloat" />
</div>
<div class="table">
<!--l. 440--><p class="indent" > <a
id="x21-200125"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 440--><p class="noindent" >
<div class="tabular"> <table id="TBL-7" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-7-1g"><col
id="TBL-7-1"></colgroup><colgroup id="TBL-7-2g"><col
id="TBL-7-2"></colgroup><colgroup id="TBL-7-3g"><col
id="TBL-7-3"></colgroup><colgroup id="TBL-7-4g"><col
id="TBL-7-4"></colgroup><colgroup id="TBL-7-5g"><col
id="TBL-7-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-7-1-"><td style="white-space:wrap; text-align:left;" id="TBL-7-1-1"
class="td11"><!--l. 443--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-1-2"
class="td11"><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-7-1-3"
class="td11"><!--l. 443--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-7-1-4"
class="td11"><!--l. 443--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-7-1-5"
class="td11"><!--l. 444--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td></tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-7-2-"><td style="white-space:wrap; text-align:left;" id="TBL-7-2-1"
class="td11"><!--l. 447--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;COARSE_MAT&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-7-2-3"
class="td11"><!--l. 448--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;DIST&#8217;</span>
<!--l. 448--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;REPL&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-7-2-4"
class="td11"><!--l. 449--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;REPL&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-7-2-5"
class="td11"><!--l. 450--><p class="noindent" >Coarsest matrix layout: distributed among the
processes or replicated on each of them. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-7-3-"><td style="white-space:wrap; text-align:left;" id="TBL-7-3-1"
class="td11"><!--l. 453--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;COARSE_SOLVE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-3-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-7-3-3"
class="td11"><!--l. 454--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;MUMPS&#8217;</span>
<!--l. 454--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;UMF&#8217;</span>
<!--l. 455--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SLU&#8217;</span>
<!--l. 455--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SLUDIST&#8217;</span>
<!--l. 456--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;JACOBI&#8217;</span>
<!--l. 456--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;GS&#8217;</span>
<!--l. 456--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;BJAC&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-7-3-4"
class="td11"><!--l. 457--><p class="noindent" >See&#x00A0;Note.</td><td style="white-space:wrap; text-align:left;" id="TBL-7-3-5"
class="td11"><!--l. 458--><p class="noindent" >Solver used at the coarsest level: sequential LU
from MUMPS, UMFPACK, or SuperLU (plus
triangular solve); distributed LU from MUMPS or
SuperLU_Dist (plus triangular solve); point-Jacobi,
hybrid Gauss-Seidel or block-Jacobi.
<!--l. 464--><p class="noindent" >Note that <span
class="cmtt-10x-x-109">UMF </span>and <span
class="cmtt-10x-x-109">SLU </span>require the coarsest matrix
to be replicated, <span
class="cmtt-10x-x-109">SLUDIST</span>, <span
class="cmtt-10x-x-109">JACOBI</span>, <span
class="cmtt-10x-x-109">GS </span>and <span
class="cmtt-10x-x-109">BJAC</span>
require it to be distributed, and <span
class="cmtt-10x-x-109">MUMPS </span>can be used
with either a replicated or a distributed matrix.
When any of the previous solvers is specified,
the matrix layout is set to a default value which
allows the use of the solver (see Remark 3, p.&#x00A0;24).
Note also that UMFPACK and SuperLU_Dist are
available only in double precision. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-7-4-"><td style="white-space:wrap; text-align:left;" id="TBL-7-4-1"
class="td11"><!--l. 474--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;COARSE_SUBSOLVE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-7-4-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-7-4-3"
class="td11"><!--l. 475--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;ILU&#8217;</span>
<!--l. 475--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;ILUT&#8217;</span>
<!--l. 475--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;MILU&#8217;</span>
<!--l. 476--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;MUMPS&#8217;</span>
<!--l. 476--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;SLU&#8217;</span>
<!--l. 476--><p class="noindent" ><span
class="cmtt-10x-x-109">&#8217;UMF&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-7-4-4"
class="td11"><!--l. 477--><p class="noindent" >See&#x00A0;Note.</td><td style="white-space:wrap; text-align:left;" id="TBL-7-4-5"
class="td11"><!--l. 478--><p class="noindent" >Solver for the diagonal blocks of the coarse matrix,
in case the block Jacobi solver is chosen as
coarsest-level solver: ILU(<span
class="cmmi-10x-x-109">p</span>), ILU(<span
class="cmmi-10x-x-109">p,t</span>), MILU(<span
class="cmmi-10x-x-109">p</span>),
LU from MUMPS, SuperLU or UMFPACK
(plus triangular solve). Note that UMFPACK
and SuperLU_Dist are available only in double
precision. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-7-5-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-7-5-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;"><span
class="cmbx-10x-x-109">Note. </span>Defaults for <span
class="cmtt-10x-x-109">COARSE</span><span
class="cmtt-10x-x-109">_SOLVE </span>and <span
class="cmtt-10x-x-109">COARSE</span><span
class="cmtt-10x-x-109">_SUBSOLVE </span>are chosen in the following order:</div>
</tr><tr
style="vertical-align:baseline;" id="TBL-7-6-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-7-6-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">single precision version &#8211; <span
class="cmtt-10x-x-109">MUMPS </span>if installed, then <span
class="cmtt-10x-x-109">SLU </span>if installed, <span
class="cmtt-10x-x-109">ILU </span>otherwise;</div>
</tr><tr
style="vertical-align:baseline;" id="TBL-7-7-"><td colspan="3" style="white-space:wrap; text-align:left;" id="TBL-7-7-1"
class="td11"></td><div class="multicolumn" style="white-space:nowrap; text-align:left;">double precision version &#8211; <span
class="cmtt-10x-x-109">UMF </span>if installed, then <span
class="cmtt-10x-x-109">MUMPS </span>if installed, then <span
class="cmtt-10x-x-109">SLU </span>if installed, <span
class="cmtt-10x-x-109">ILU </span>otherwise.</div>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-7-8-"><td style="white-space:wrap; text-align:left;" id="TBL-7-8-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;5: </span><span
class="content">Parameters defining the coarse-space correction at the coarsest level.</span></div><!--tex4ht:label?: x21-200125 -->
</div><hr class="endfloat" />
</div>
<div class="table">
<!--l. 502--><p class="indent" > <a
id="x21-200136"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 502--><p class="noindent" >
<div class="tabular"> <table id="TBL-8" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-8-1g"><col
id="TBL-8-1"></colgroup><colgroup id="TBL-8-2g"><col
id="TBL-8-2"></colgroup><colgroup id="TBL-8-3g"><col
id="TBL-8-3"></colgroup><colgroup id="TBL-8-4g"><col
id="TBL-8-4"></colgroup><colgroup id="TBL-8-5g"><col
id="TBL-8-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-8-1-"><td style="white-space:wrap; text-align:left;" id="TBL-8-1-1"
class="td11"><!--l. 505--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-1-2"
class="td11"><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-8-1-3"
class="td11"><!--l. 505--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-8-1-4"
class="td11"><!--l. 505--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-8-1-5"
class="td11"><!--l. 506--><p class="noindent" ><span
class="cmcsc-10x-x-109"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td></tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-8-2-"><td style="white-space:wrap; text-align:left;" id="TBL-8-2-1"
class="td11"><!--l. 509--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;COARSE_SWEEPS&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-8-2-3"
class="td11"><!--l. 510--><p class="noindent" >Any integer
<!--l. 510--><p class="noindent" >number <span
class="cmmi-10x-x-109">&#x003E; </span>0</td><td style="white-space:wrap; text-align:left;" id="TBL-8-2-4"
class="td11"><!--l. 511--><p class="noindent" >10 </td><td style="white-space:wrap; text-align:left;" id="TBL-8-2-5"
class="td11"><!--l. 512--><p class="noindent" >Number of sweeps when <span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">JACOBI</span></span></span>, <span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">GS</span></span></span> or <span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">BJAC</span></span></span>
is chosen as coarsest-level solver. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-8-3-"><td style="white-space:wrap; text-align:left;" id="TBL-8-3-1"
class="td11"><!--l. 515--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;COARSE_FILLIN&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-3-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-8-3-3"
class="td11"><!--l. 516--><p class="noindent" >Any integer
<!--l. 516--><p class="noindent" >number <span
class="cmsy-10x-x-109">&#x2265; </span>0</td><td style="white-space:wrap; text-align:left;" id="TBL-8-3-4"
class="td11"><!--l. 517--><p class="noindent" >0 </td><td style="white-space:wrap; text-align:left;" id="TBL-8-3-5"
class="td11"><!--l. 518--><p class="noindent" >Fill-in level <span
class="cmmi-10x-x-109">p </span>of the ILU factorizations. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-8-4-"><td style="white-space:wrap; text-align:left;" id="TBL-8-4-1"
class="td11"><!--l. 520--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">&#8217;COARSE_ILUTHRS&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-8-4-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">real(</span></span></span><span
class="cmti-10x-x-109">kind</span><span
class="cmti-10x-x-109">_parameter</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10x-x-109">)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-8-4-3"
class="td11"><!--l. 522--><p class="noindent" >Any real
<!--l. 522--><p class="noindent" >number <span
class="cmsy-10x-x-109">&#x2265; </span>0</td><td style="white-space:wrap; text-align:left;" id="TBL-8-4-4"
class="td11"><!--l. 523--><p class="noindent" >0 </td><td style="white-space:wrap; text-align:left;" id="TBL-8-4-5"
class="td11"><!--l. 524--><p class="noindent" >Drop tolerance <span
class="cmmi-10x-x-109">t </span>in the ILU(<span
class="cmmi-10x-x-109">p,t</span>)
factorization. </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-8-5-"><td style="white-space:wrap; text-align:left;" id="TBL-8-5-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;6: </span><span
class="content">Parameters defining the coarse-space correction at the coarsest level
(continued).</span></div><!--tex4ht:label?: x21-200136 -->
</div><hr class="endfloat" />
</div>
<div class="table">
<!--l. 533--><p class="indent" > <a
id="x21-200147"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 533--><p class="noindent" >
<div class="tabular"> <table id="TBL-9" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-9-1g"><col
id="TBL-9-1"></colgroup><colgroup id="TBL-9-2g"><col
id="TBL-9-2"></colgroup><colgroup id="TBL-9-3g"><col
id="TBL-9-3"></colgroup><colgroup id="TBL-9-4g"><col
id="TBL-9-4"></colgroup><colgroup id="TBL-9-5g"><col
id="TBL-9-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-9-1-"><td style="white-space:wrap; text-align:left;" id="TBL-9-1-1"
class="td11"><!--l. 537--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-1-2"
class="td11"><span
class="cmcsc-10"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-9-1-3"
class="td11"><!--l. 537--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-1-4"
class="td11"><!--l. 537--><p class="noindent" ><span
class="cmcsc-10"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-1-5"
class="td11"><!--l. 538--><p class="noindent" ><span
class="cmcsc-10"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td></tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-9-2-"><td style="white-space:wrap; text-align:left;" id="TBL-9-2-1"
class="td11"><!--l. 541--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SMOOTHER_TYPE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-9-2-3"
class="td11"><!--l. 542--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;JACOBI&#8217;</span></span></span>
<!--l. 542--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;GS&#8217;</span></span></span>
<!--l. 542--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;BGS&#8217;</span></span></span>
<!--l. 542--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;BJAC&#8217;</span></span></span>
<!--l. 543--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;AS&#8217;</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-2-4"
class="td11"><!--l. 544--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;FBGS&#8217;</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-2-5"
class="td11"><!--l. 545--><p class="noindent" ><span
class="cmr-10">Type of smoother used in the multilevel</span>
<span
class="cmr-10">preconditioner: point-Jacobi, hybrid</span>
<span
class="cmr-10">(forward) Gauss-Seidel, hybrid backward</span>
<span
class="cmr-10">Gauss-Seidel, block-Jacobi, and Additive</span>
<span
class="cmr-10">Schwarz.</span>
<!--l. 549--><p class="noindent" ><span
class="cmr-10">It is ignored by one-level preconditioners.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-9-3-"><td style="white-space:wrap; text-align:left;" id="TBL-9-3-1"
class="td11"><!--l. 551--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SUB_SOLVE&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-3-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">character(len=*)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-9-3-3"
class="td11"><!--l. 552--><p class="noindent" ><span
class="cmtt-10">&#8217;JACOBI&#8217;</span>
<!--l. 553--><p class="noindent" ><span
class="cmtt-10">&#8217;GS&#8217;</span>
<!--l. 553--><p class="noindent" ><span
class="cmtt-10">&#8217;BGS&#8217;</span>
<!--l. 553--><p class="noindent" ><span
class="cmtt-10">&#8217;ILU&#8217;</span>
<!--l. 554--><p class="noindent" ><span
class="cmtt-10">&#8217;ILUT&#8217;</span>
<!--l. 554--><p class="noindent" ><span
class="cmtt-10">&#8217;MILU&#8217;</span>
<!--l. 555--><p class="noindent" ><span
class="cmtt-10">&#8217;MUMPS&#8217;</span>
<!--l. 555--><p class="noindent" ><span
class="cmtt-10">&#8217;SLU&#8217;</span>
<!--l. 555--><p class="noindent" ><span
class="cmtt-10">&#8217;UMF&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-3-4"
class="td11"><!--l. 556--><p class="noindent" ><span
class="cmtt-10">GS </span><span
class="cmr-10">and </span><span
class="cmtt-10">BGS </span><span
class="cmr-10">for pre-</span>
<span
class="cmr-10">and post-smoothers of</span>
<span
class="cmr-10">multilevel</span>
<span
class="cmr-10">preconditioners,</span>
<span
class="cmr-10">respectively</span>
<!--l. 558--><p class="noindent" ><span
class="cmtt-10">ILU </span><span
class="cmr-10">for block-Jacobi</span>
<span
class="cmr-10">and Additive Schwarz</span>
<span
class="cmr-10">one-level</span>
<span
class="cmr-10">preconditioners</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-3-5"
class="td11"><!--l. 560--><p class="noindent" ><span
class="cmr-10">The local solver to be used with the</span>
<span
class="cmr-10">smoother or one-level preconditioner (see</span>
<span
class="cmr-10">Remark</span><span
class="cmr-10">&#x00A0;2, page</span><span
class="cmr-10">&#x00A0;24): point-Jacobi, hybrid</span>
<span
class="cmr-10">(forward) Gauss-Seidel, hybrid backward</span>
<span
class="cmr-10">Gauss-Seidel, ILU(</span><span
class="cmmi-10">p</span><span
class="cmr-10">), ILU(</span><span
class="cmmi-10">p,t</span><span
class="cmr-10">), MILU(</span><span
class="cmmi-10">p</span><span
class="cmr-10">),</span>
<span
class="cmr-10">LU from MUMPS, SuperLU</span>
<span
class="cmr-10">or UMFPACK (plus triangular solve). See</span>
<span
class="cmr-10">Note for details on hybrid Gauss-Seidel.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-9-4-"><td style="white-space:wrap; text-align:left;" id="TBL-9-4-1"
class="td11"><!--l. 568--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SMOOTHER_SWEEPS&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-4-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-4-3"
class="td11"><!--l. 569--><p class="noindent" ><span
class="cmr-10">Any integer</span>
<!--l. 569--><p class="noindent" ><span
class="cmr-10">number</span><span
class="cmr-10">&#x00A0;</span><span
class="cmsy-10">&#x2265; </span><span
class="cmr-10">0</span></td><td style="white-space:wrap; text-align:left;" id="TBL-9-4-4"
class="td11"><!--l. 570--><p class="noindent" ><span
class="cmr-10">1</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-4-5"
class="td11"><!--l. 571--><p class="noindent" ><span
class="cmr-10">Number of sweeps of the smoother or</span>
<span
class="cmr-10">one-level preconditioner. In the multilevel</span>
<span
class="cmr-10">case, no pre-smother or post-smoother</span>
<span
class="cmr-10">is used if this parameter is set to 0</span>
<span
class="cmr-10">together with </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">pos=&#8217;PRE&#8217;</span></span></span> <span
class="cmr-10">or </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">pos=&#8217;POST</span></span></span><span
class="cmr-10">,</span>
<span
class="cmr-10">respectively.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-9-5-"><td style="white-space:wrap; text-align:left;" id="TBL-9-5-1"
class="td11"><!--l. 577--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SUB_OVR&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-9-5-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-5-3"
class="td11"><!--l. 578--><p class="noindent" ><span
class="cmr-10">Any integer</span>
<!--l. 578--><p class="noindent" ><span
class="cmr-10">number</span><span
class="cmr-10">&#x00A0;</span><span
class="cmsy-10">&#x2265; </span><span
class="cmr-10">0</span></td><td style="white-space:wrap; text-align:left;" id="TBL-9-5-4"
class="td11"><!--l. 579--><p class="noindent" ><span
class="cmr-10">1</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-9-5-5"
class="td11"><!--l. 580--><p class="noindent" ><span
class="cmr-10">Number of overlap layers, for Additive</span>
<span
class="cmr-10">Schwarz only.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-9-6-"><td style="white-space:wrap; text-align:left;" id="TBL-9-6-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;7: </span><span
class="content">Parameters defining the smoother or the details of the one-level
preconditioner. </span></div><!--tex4ht:label?: x21-200147 -->
</div><hr class="endfloat" />
</div>
<div class="table">
<!--l. 589--><p class="indent" > <a
id="x21-200158"></a><hr class="float"><div class="float"
>
<div class="center"
>
<!--l. 589--><p class="noindent" >
<div class="tabular"> <table id="TBL-10" class="tabular"
cellspacing="0" cellpadding="0"
><colgroup id="TBL-10-1g"><col
id="TBL-10-1"></colgroup><colgroup id="TBL-10-2g"><col
id="TBL-10-2"></colgroup><colgroup id="TBL-10-3g"><col
id="TBL-10-3"></colgroup><colgroup id="TBL-10-4g"><col
id="TBL-10-4"></colgroup><colgroup id="TBL-10-5g"><col
id="TBL-10-5"></colgroup><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-10-1-"><td style="white-space:wrap; text-align:left;" id="TBL-10-1-1"
class="td11"><!--l. 593--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">what</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-1-2"
class="td11"><span
class="cmcsc-10"><span
class="small-caps">d</span><span
class="small-caps">a</span><span
class="small-caps">t</span><span
class="small-caps">a</span> <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:wrap; text-align:left;" id="TBL-10-1-3"
class="td11"><!--l. 593--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">val</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-1-4"
class="td11"><!--l. 593--><p class="noindent" ><span
class="cmcsc-10"><span
class="small-caps">d</span><span
class="small-caps">e</span><span
class="small-caps">f</span><span
class="small-caps">a</span><span
class="small-caps">u</span><span
class="small-caps">l</span><span
class="small-caps">t</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-1-5"
class="td11"><!--l. 594--><p class="noindent" ><span
class="cmcsc-10"><span
class="small-caps">c</span><span
class="small-caps">o</span><span
class="small-caps">m</span><span
class="small-caps">m</span><span
class="small-caps">e</span><span
class="small-caps">n</span><span
class="small-caps">t</span><span
class="small-caps">s</span></span> </td></tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-10-2-"><td style="white-space:wrap; text-align:left;" id="TBL-10-2-1"
class="td11"><!--l. 596--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SUB_RESTR&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-2-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">character(len=*)</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-2-3"
class="td11"><!--l. 597--><p class="noindent" ><span
class="cmtt-10">&#8217;HALO&#8217;</span>
<!--l. 597--><p class="noindent" ><span
class="cmtt-10">&#8217;NONE&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-2-4"
class="td11"><!--l. 598--><p class="noindent" ><span
class="cmtt-10">&#8217;HALO&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-2-5"
class="td11"><!--l. 599--><p class="noindent" ><span
class="cmr-10">Type of restriction operator, for Additive</span>
<span
class="cmr-10">Schwarz only: </span><span
class="cmtt-10">HALO </span><span
class="cmr-10">for taking into account the</span>
<span
class="cmr-10">overlap, </span><span
class="cmtt-10">NONE </span><span
class="cmr-10">for neglecting it.</span>
<!--l. 602--><p class="noindent" ><span
class="cmr-10">Note that </span><span
class="cmtt-10">HALO </span><span
class="cmr-10">must be chosen for the classical</span>
<span
class="cmr-10">Addditive Schwarz smoother and its RAS</span>
<span
class="cmr-10">variant.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-10-3-"><td style="white-space:wrap; text-align:left;" id="TBL-10-3-1"
class="td11"><!--l. 605--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SUB_PROL&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-3-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">character(len=*)</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-3-3"
class="td11"><!--l. 606--><p class="noindent" ><span
class="cmtt-10">&#8217;SUM&#8217;</span>
<!--l. 606--><p class="noindent" ><span
class="cmtt-10">&#8217;NONE&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-3-4"
class="td11"><!--l. 607--><p class="noindent" ><span
class="cmtt-10">&#8217;NONE&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-3-5"
class="td11"><!--l. 608--><p class="noindent" ><span
class="cmr-10">Type of prolongation operator, for Additive</span>
<span
class="cmr-10">Schwarz only: </span><span
class="cmtt-10">SUM </span><span
class="cmr-10">for adding the contributions</span>
<span
class="cmr-10">from the overlap, </span><span
class="cmtt-10">NONE </span><span
class="cmr-10">for neglecting them.</span>
<!--l. 611--><p class="noindent" ><span
class="cmr-10">Note that </span><span
class="cmtt-10">SUM </span><span
class="cmr-10">must be chosen for the classical</span>
<span
class="cmr-10">Additive Schwarz smoother, and </span><span
class="cmtt-10">NONE </span><span
class="cmr-10">for its</span>
<span
class="cmr-10">RAS variant.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-10-4-"><td style="white-space:wrap; text-align:left;" id="TBL-10-4-1"
class="td11"><!--l. 614--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SUB_FILLIN&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-4-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-4-3"
class="td11"><!--l. 615--><p class="noindent" ><span
class="cmr-10">Any integer</span>
<!--l. 615--><p class="noindent" ><span
class="cmr-10">number</span><span
class="cmr-10">&#x00A0;</span><span
class="cmsy-10">&#x2265; </span><span
class="cmr-10">0</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-4-4"
class="td11"><!--l. 616--><p class="noindent" ><span
class="cmr-10">0</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-4-5"
class="td11"><!--l. 617--><p class="noindent" ><span
class="cmr-10">Fill-in level </span><span
class="cmmi-10">p </span><span
class="cmr-10">of the incomplete LU</span>
<span
class="cmr-10">factorizations.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-10-5-"><td style="white-space:wrap; text-align:left;" id="TBL-10-5-1"
class="td11"><!--l. 619--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;SUB_ILUTHRS&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-5-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">real(</span></span></span><span
class="cmti-10">kind</span><span
class="cmti-10">_parameter</span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">)</span></span></span></td><td style="white-space:wrap; text-align:left;" id="TBL-10-5-3"
class="td11"><!--l. 620--><p class="noindent" ><span
class="cmr-10">Any real</span>
<span
class="cmr-10">number</span><span
class="cmr-10">&#x00A0;</span><span
class="cmsy-10">&#x2265; </span><span
class="cmr-10">0</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-5-4"
class="td11"><!--l. 621--><p class="noindent" ><span
class="cmr-10">0</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-5-5"
class="td11"><!--l. 622--><p class="noindent" ><span
class="cmr-10">Drop tolerance </span><span
class="cmmi-10">t </span><span
class="cmr-10">in the ILU(</span><span
class="cmmi-10">p,t</span><span
class="cmr-10">) factorization.</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-10-6-"><td style="white-space:wrap; text-align:left;" id="TBL-10-6-1"
class="td11"><!--l. 623--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;MUMPS_LOC_GLOB&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-6-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">character(len=*)</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-6-3"
class="td11"><!--l. 624--><p class="noindent" ><span
class="cmtt-10">LOCAL</span><span
class="cmtt-10">_SOLVER&#8217;</span>
<!--l. 624--><p class="noindent" ><span
class="cmtt-10">GLOBAL</span><span
class="cmtt-10">_SOLVER&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-6-4"
class="td11"><!--l. 625--><p class="noindent" ><span
class="cmtt-10">GLOBAL</span><span
class="cmtt-10">_SOLVER&#8217;</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-6-5"
class="td11"><!--l. 626--><p class="noindent" ><span
class="cmr-10">Whether MUMPS should be used as a</span>
<span
class="cmr-10">distributed solver, or as a serial solver acting</span>
<span
class="cmr-10">only on the part of the matrix local to each</span>
<span
class="cmr-10">process.</span> </td>
</tr><tr
style="vertical-align:baseline;" id="TBL-10-7-"><td style="white-space:wrap; text-align:left;" id="TBL-10-7-1"
class="td11"><!--l. 630--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;MUMPS_IPAR_ENTRY&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-7-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">integer</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-7-3"
class="td11"><!--l. 631--><p class="noindent" ><span
class="cmr-10">Any integer</span>
<span
class="cmr-10">number</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-7-4"
class="td11"><!--l. 632--><p class="noindent" ><span
class="cmr-10">0</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-7-5"
class="td11"><!--l. 633--><p class="noindent" ><span
class="cmr-10">Set an entry in the MUMPS integer control</span>
<span
class="cmr-10">array, as chosen via the </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">idx</span></span></span> <span
class="cmr-10">optional argument.</span></td>
</tr><tr
style="vertical-align:baseline;" id="TBL-10-8-"><td style="white-space:wrap; text-align:left;" id="TBL-10-8-1"
class="td11"><!--l. 635--><p class="noindent" ><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">&#8217;MUMPS_RPAR_ENTRY&#8217;</span></span></span> </td><td style="white-space:nowrap; text-align:left;" id="TBL-10-8-2"
class="td11"><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">real</span></span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-8-3"
class="td11"><!--l. 636--><p class="noindent" ><span
class="cmr-10">Any real</span>
<span
class="cmr-10">number</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-8-4"
class="td11"><!--l. 637--><p class="noindent" ><span
class="cmr-10">0</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-10-8-5"
class="td11"><!--l. 638--><p class="noindent" ><span
class="cmr-10">Set an entry in the MUMPS real control array,</span>
<span
class="cmr-10">as chosen via the </span><span class="obeylines-h"><span class="verb"><span
class="cmtt-10">idx</span></span></span> <span
class="cmr-10">optional argument.</span> </td>
</tr><tr
class="hline"><td><hr></td><td><hr></td><td><hr></td><td><hr></td><td><hr></td></tr><tr
style="vertical-align:baseline;" id="TBL-10-9-"><td style="white-space:wrap; text-align:left;" id="TBL-10-9-1"
class="td11"> </td></tr></table></div></div>
<br /> <div class="caption"
><span class="id">Table&#x00A0;8: </span><span
class="content">Parameters defining the smoother or the details of the one-level preconditioner
(continued).</span></div><!--tex4ht:label?: x21-200158 -->
</div><hr class="endfloat" />
</div>
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