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Fixup the documentation.

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Salvatore Filippone
2018-05-14 14:32:48 +01:00
parent 8ee76a1a82
commit 4b43164668
138 changed files with 1396 additions and 1295 deletions
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docs/html/node20.html
+40 -38
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@@ -1,6 +1,6 @@
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<!--Converted with LaTeX2HTML 2017.2 (Released Jan 23, 2017) -->
<!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) -->
<HTML>
<HEAD>
<TITLE>Method set</TITLE>
@@ -9,7 +9,7 @@
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
<META NAME="Generator" CONTENT="LaTeX2HTML v2017.2">
<META NAME="Generator" CONTENT="LaTeX2HTML v2018">
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
<LINK REL="STYLESHEET" HREF="userhtml.css">
@@ -247,7 +247,7 @@ solver is changed to the default sequential solver.
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1388"></A>
<DIV ALIGN="CENTER"><A NAME="1390"></A>
<TABLE>
<CAPTION><STRONG>Table 2:</STRONG>
Parameters defining the multilevel cycle and the number of cycles to
@@ -285,7 +285,7 @@ Note that hybrid Multiplicative Schwarz is equivalent to V-cycle and
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>Any integer
<P>
number <SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img74.png"
ALT="$\ge 1$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68>1</TD>
@@ -300,7 +300,7 @@ number <SPAN CLASS="MATH"><IMG
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1393"></A>
<DIV ALIGN="CENTER"><A NAME="1396"></A>
<TABLE>
<CAPTION><STRONG>Table 3:</STRONG>
Parameters defining the aggregation algorithm.
@@ -319,17 +319,17 @@ Parameters defining the aggregation algorithm.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any number
<P>
<SPAN CLASS="MATH"><IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img75.png"
ALT="$&gt; 0$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82><!-- MATH
$\lfloor 40 \sqrt[3]{n} \rfloor$
-->
<SPAN CLASS="MATH"><IMG
WIDTH="63" HEIGHT="38" ALIGN="MIDDLE" BORDER="0"
WIDTH="63" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
SRC="img76.png"
ALT="$\lfloor 40 \sqrt[3]{n} \rfloor$"></SPAN>, where <SPAN CLASS="MATH"><IMG
WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
WIDTH="14" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img77.png"
ALT="$n$"></SPAN> is the dimension
of the matrix at the finest level</TD>
@@ -344,7 +344,7 @@ Parameters defining the aggregation algorithm.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any number
<P>
<SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img78.png"
ALT="$&gt; 1$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82>1.5</TD>
@@ -358,7 +358,7 @@ Parameters defining the aggregation algorithm.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any integer
<P>
number <SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img78.png"
ALT="$&gt; 1$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82>20</TD>
@@ -376,18 +376,22 @@ Currently, only the
<code>SYMDEC</code> option applies decoupled
aggregation to the sparsity pattern
of <SPAN CLASS="MATH"><IMG
WIDTH="63" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
WIDTH="62" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
SRC="img79.png"
ALT="$A+A^T$"></SPAN>.</TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=111><code>'AGGR_TYPE'</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><SPAN CLASS="textbf"><TT>'VMB'</TT></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82><SPAN CLASS="textbf"><TT>'VMB'</TT></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=196>Type of aggregation algorithm: currently, the scalar aggregation
algorithm by Vanek, Mandel and Brezina is implemented
[<A
HREF="node36.html#VANEK_MANDEL_BREZINA">25</A>].</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><SPAN CLASS="textbf"><TT>'SOC1'</TT></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82><SPAN CLASS="textbf"><TT>'SOC1'</TT></SPAN>,
<SPAN CLASS="textbf"><TT>'SOC2'</TT></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=196>Type of aggregation algorithm: currently,
we implement to measures of strength of
connection, the one by Vanek, Mandel
and Brezina&nbsp;[<A
HREF="node36.html#VANEK_MANDEL_BREZINA">26</A>],
and the one by Gratton et al&nbsp;[<A
HREF="node36.html#GrHeJi:16">16</A>].</TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=111><code>'AGGR_PROL'</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
@@ -415,7 +419,7 @@ of levels. </SPAN></TD>
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1397"></A>
<DIV ALIGN="CENTER"><A NAME="1400"></A>
<TABLE>
<CAPTION><STRONG>Table 4:</STRONG>
Parameters defining the aggregation algorithm (continued).
@@ -440,18 +444,17 @@ Parameters defining the aggregation algorithm (continued).
descending degrees of the nodes in the
matrix graph.</TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=108>
<code>'AGGR_THRESH'</code></TD>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=108><code>'AGGR_THRESH'</code></TD>
<TD ALIGN="LEFT"><code>real(</code><SPAN CLASS="textit">kind_parameter</SPAN><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=71>Any&nbsp;real
<P>
number&nbsp;<SPAN CLASS="MATH"><IMG
WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
WIDTH="56" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
SRC="img80.png"
ALT="$\in [0, 1]$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>0.01</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=187>The threshold <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
WIDTH="13" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img81.png"
ALT="$\theta$"></SPAN> in the aggregation algorithm,
see (<A HREF="node14.html#eq:strongly_coup">3</A>) in Section&nbsp;<A HREF="node14.html#sec:aggregation">4.2</A>.
@@ -468,7 +471,7 @@ number&nbsp;<SPAN CLASS="MATH"><IMG
</TR>
<TR><TD ALIGN="LEFT" COLSPAN=5><SPAN><B>Note.</B> Different thresholds at different levels, such as
those used in [<A
HREF="node36.html#VANEK_MANDEL_BREZINA">25</A>, Section&nbsp;5.1], can be easily set by
HREF="node36.html#VANEK_MANDEL_BREZINA">26</A>, Section&nbsp;5.1], can be easily set by
invoking the rou-</SPAN></TD>
</TR>
<TR><TD ALIGN="LEFT" COLSPAN=5><SPAN>tine <TT>set</TT> with
@@ -483,7 +486,7 @@ the parameter <TT>ilev</TT>.</SPAN></TD>
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1402"></A>
<DIV ALIGN="CENTER"><A NAME="1405"></A>
<TABLE>
<CAPTION><STRONG>Table 5:</STRONG>
Parameters defining the coarse-space correction at the coarsest
@@ -590,7 +593,7 @@ Note that <TT>UMF</TT> and <TT>SLU</TT> require the coarsest
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1404"></A>
<DIV ALIGN="CENTER"><A NAME="1407"></A>
<TABLE>
<CAPTION><STRONG>Table 6:</STRONG>
Parameters defining the coarse-space correction at the coarsest
@@ -609,7 +612,7 @@ level (continued).</CAPTION>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=57>Any integer
<P>
number <SPAN CLASS="MATH"><IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img75.png"
ALT="$&gt; 0$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=43>10</TD>
@@ -621,7 +624,7 @@ number <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=57>Any integer
<P>
number <SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img84.png"
ALT="$\ge 0$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=43>0</TD>
@@ -635,12 +638,12 @@ number <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=57>Any real
<P>
number <SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img84.png"
ALT="$\ge 0$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=43>0</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=213>Drop tolerance <SPAN CLASS="MATH"><IMG
WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
WIDTH="10" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img85.png"
ALT="$t$"></SPAN> in the ILU(<SPAN CLASS="MATH"><IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
@@ -656,7 +659,7 @@ number <SPAN CLASS="MATH"><IMG
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1406"></A>
<DIV ALIGN="CENTER"><A NAME="1409"></A>
<TABLE>
<CAPTION><STRONG>Table 7:</STRONG>
Parameters defining the smoother or the details of the one-level preconditioner.
@@ -748,7 +751,7 @@ Parameters defining the smoother or the details of the one-level preconditioner.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=54><SMALL CLASS="SMALL"> Any integer </SMALL>
<P>
<SMALL CLASS="SMALL">number&nbsp;<SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img84.png"
ALT="$\ge 0$"></SPAN>
</SMALL></TD>
@@ -767,7 +770,7 @@ Parameters defining the smoother or the details of the one-level preconditioner.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=54><SMALL CLASS="SMALL"> Any integer </SMALL>
<P>
<SMALL CLASS="SMALL">number&nbsp;<SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img84.png"
ALT="$\ge 0$"></SPAN>
</SMALL></TD>
@@ -783,7 +786,7 @@ Parameters defining the smoother or the details of the one-level preconditioner.
<P>
<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1408"></A>
<DIV ALIGN="CENTER"><A NAME="1411"></A>
<TABLE>
<CAPTION><STRONG>Table 8:</STRONG>
Parameters defining the smoother or the details of the one-level preconditioner
@@ -840,7 +843,7 @@ Parameters defining the smoother or the details of the one-level preconditioner
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=71><SMALL CLASS="SMALL"> Any integer </SMALL>
<P>
<SMALL CLASS="SMALL">number&nbsp;<SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img84.png"
ALT="$\ge 0$"></SPAN>
</SMALL></TD>
@@ -856,22 +859,21 @@ Parameters defining the smoother or the details of the one-level preconditioner
<TD ALIGN="LEFT"><SMALL CLASS="SMALL"> <code>real(</code><SPAN CLASS="textit">kind_parameter</SPAN><code>)</code>
</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=71><SMALL CLASS="SMALL"> Any real number&nbsp;<SPAN CLASS="MATH"><IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img84.png"
ALT="$\ge 0$"></SPAN>
</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=62><SMALL CLASS="SMALL"> 0
</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=201><SMALL CLASS="SMALL"> Drop tolerance <SPAN CLASS="MATH"><IMG
WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
WIDTH="10" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img85.png"
ALT="$t$"></SPAN> in the ILU(<SPAN CLASS="MATH"><IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img83.png"
ALT="$p,t$"></SPAN>) factorization. </SMALL></TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=85><SMALL CLASS="SMALL">
</SMALL></TD>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=85><SMALL CLASS="SMALL"> </SMALL></TD>
<TD></TD>
<TD></TD>
<TD></TD>