Further doc fixes.
This commit is contained in:
Salvatore Filippone
2008-07-24 06:05:46 +00:00
parent 4dda0494a7
commit 78805bf653
130 changed files with 10569 additions and 7036 deletions
+91 -86
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@@ -1,4 +1,4 @@
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@@ -25,8 +25,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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@@ -53,7 +52,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<H2><A NAME="SECTION00082000000000000000"></A><A NAME="sec:precset"></A>
@@ -73,15 +72,15 @@ precisely, the parameter identified by <code>what</code> is assigned the value
contained in <code>val</code>.
<P>
<BIG CLASS="LARGE"><B>Arguments</B></BIG>
<FONT SIZE="+1"><B>Arguments</B></FONT>
<P>
<TABLE CELLPADDING=3>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>p</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>type(mld_</code><SPAN CLASS="textit">x</SPAN><code>prec_type), intent(inout)</code>.</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>type(mld_</code><I>x</I><code>prec_type), intent(inout)</code>.</TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34>&nbsp;</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The preconditioner data structure. Note that <SPAN CLASS="textit">x</SPAN> must
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The preconditioner data structure. Note that <I>x</I> must
be chosen according to the real/complex, single/double precision
version of MLD2P4 under use.</TD>
</TR>
@@ -94,8 +93,8 @@ contained in <code>val</code>.
numbers, as reported in Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">5</A>.</TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>val </code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>integer</code> <SPAN CLASS="textit">or</SPAN> <code>character(len=*)</code> <SPAN CLASS="textit">or</SPAN>
<code>real(psb_spk_)</code> <SPAN CLASS="textit">or</SPAN> <code>real(psb_dpk_)</code>,
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>integer</code> <I>or</I> <code>character(len=*)</code> <I>or</I>
<code>real(psb_spk_)</code> <I>or</I> <code>real(psb_dpk_)</code>,
<code>intent(in)</code>.</TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34>&nbsp;</TD>
@@ -138,7 +137,7 @@ refer to Section&nbsp;<A HREF="node10.html#sec:background">4</A>.
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1245"></A>
<DIV ALIGN="CENTER"><A NAME="1246"></A>
<TABLE>
<CAPTION><STRONG>Table 2:</STRONG>
Parameters defining the type of multi-level preconditioner.
@@ -182,7 +181,7 @@ Parameters defining the type of multi-level preconditioner.
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1247"></A>
<DIV ALIGN="CENTER"><A NAME="1248"></A>
<TABLE>
<CAPTION><STRONG>Table 3:</STRONG>
Parameters defining the one-level preconditioner used as smoother.
@@ -198,10 +197,10 @@ Parameters defining the one-level preconditioner used as smoother.
</TR>
<TR><TD ALIGN="LEFT"><code>mld_sub_ovr_</code></TD>
<TD ALIGN="LEFT"><code>integer</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>any&nbsp;int.&nbsp;num.&nbsp;<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img88.png"
ALT="$\ge 0$"></SPAN></TD>
ALT="$\ge 0$"></TD>
<TD ALIGN="LEFT">1</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Number of overlap layers.</TD>
</TR>
@@ -217,7 +216,7 @@ Parameters defining the one-level preconditioner used as smoother.
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'SUM'</TT> <TT>'NONE'</TT></TD>
<TD ALIGN="LEFT"><TT>'NONE'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Type of prolongator operator:
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Type of prolongation operator:
<TT>'SUM'</TT> for adding the contributions from the overlap, <TT>'NONE'</TT>
for neglecting them.</TD>
</TR>
@@ -226,44 +225,44 @@ Parameters defining the one-level preconditioner used as smoother.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'ILU'</TT> <TT>'MILU'</TT> <TT>'ILUT'</TT>
<TT>'UMF'</TT> <TT>'SLU'</TT></TD>
<TD ALIGN="LEFT"><TT>'UMF'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Local solver: ILU(<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Local solver: ILU(<IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img34.png"
ALT="$p$"></SPAN>), MILU(<SPAN CLASS="MATH"><IMG
ALT="$p$">), MILU(<IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img34.png"
ALT="$p$"></SPAN>), ILU(<SPAN CLASS="MATH"><IMG
ALT="$p$">), ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p,t$"></SPAN>), LU from UMFPACK, LU from SuperLU
ALT="$p,t$">), LU from UMFPACK, LU from SuperLU
(plus triangular solve).</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_sub_fillin_</code></TD>
<TD ALIGN="LEFT"><code>integer</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img88.png"
ALT="$\ge 0$"></SPAN></TD>
ALT="$\ge 0$"></TD>
<TD ALIGN="LEFT">0</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Fill-in level <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Fill-in level <IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img34.png"
ALT="$p$"></SPAN> of the incomplete LU factorizations.</TD>
ALT="$p$"> of the incomplete LU factorizations.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_sub_iluthrs_</code></TD>
<TD ALIGN="LEFT"><code>real(</code><SPAN CLASS="textit">kind_parameter</SPAN><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;real&nbsp;num.&nbsp;<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;real&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img88.png"
ALT="$\ge 0$"></SPAN></TD>
ALT="$\ge 0$"></TD>
<TD ALIGN="LEFT">0</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Drop tolerance <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Drop tolerance <IMG
WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img89.png"
ALT="$t$"></SPAN> in the ILU(<SPAN CLASS="MATH"><IMG
ALT="$t$"> in the ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p,t$"></SPAN>) factorization.</TD>
ALT="$p,t$">) factorization.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_sub_ren_</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
@@ -282,7 +281,7 @@ Parameters defining the one-level preconditioner used as smoother.
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1249"></A>
<DIV ALIGN="CENTER"><A NAME="1250"></A>
<TABLE>
<CAPTION><STRONG>Table 4:</STRONG>
Parameters defining the aggregation algorithm.
@@ -309,59 +308,60 @@ Parameters defining the aggregation algorithm.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Type of aggregation: smoothed, raw (i.e. using the tentative prolongator).</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_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=65>Any&nbsp;real&nbsp;num. <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any&nbsp;real&nbsp;num. <IMG
WIDTH="56" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png"
ALT="$\in [0, 1]$"></SPAN></TD>
ALT="$\in [0, 1]$"></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74>0</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>The threshold <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Threshold <IMG
WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img91.png"
ALT="$\theta$"></SPAN> in the aggregation algorithm.</TD>
ALT="$\theta$"> in the aggregation algorithm.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_aggr_eig_</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65><TT>'A_NORMI'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><TT>'A_NORMI'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Estimate of the eigenvalue <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Estimate of the eigenvalue <IMG
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
SRC="img85.png"
ALT="$D^{-1}A$"></SPAN> with largest modulus,
to build the damping parameter <SPAN CLASS="MATH"><IMG
ALT="$D^{-1}A$"> with largest modulus,
to build the damping parameter <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img84.png"
ALT="$\omega$"></SPAN> in the smoothed aggregation.
ALT="$\omega$"> in the smoothed aggregation.
Currently, only the infinity norm of
the matrix is available.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_aggr_damp_</code></TD>
<TD ALIGN="LEFT"><code>real(</code><SPAN CLASS="textit">kind_parameter</SPAN><code>)</code></TD>
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any&nbsp;real&nbsp;num.</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=74><!-- MATH
$4/(3||D^{-1}A||_\infty)$
-->
<SPAN CLASS="MATH"><IMG
<IMG
WIDTH="124" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
SRC="img92.png"
ALT="$4/(3\vert\vert D^{-1}A\vert\vert _\infty)$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>The damping parameter <SPAN CLASS="MATH"><IMG
ALT="$4/(3\vert\vert D^{-1}A\vert\vert _\infty)$"></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Damping parameter <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img84.png"
ALT="$\omega$"></SPAN> in the smoothed aggregation algorithm.
If the user specifies a negative value, then <SPAN CLASS="MATH"><IMG
ALT="$\omega$"> in the smoothed aggregation algorithm.
If the user specifies a negative value, then <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img84.png"
ALT="$\omega$"></SPAN> is set to its default
value; otherwise, <SPAN CLASS="MATH"><IMG
ALT="$\omega$">
is set to its default value;
otherwise, <IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img84.png"
ALT="$\omega$"></SPAN> is set to the value provided by the
user. In the latter case no estimate of the eigenvalue <SPAN CLASS="MATH"><IMG
ALT="$\omega$"> is set to the value provided by the
user. In the latter case no estimate of the eigenvalue of
<IMG
WIDTH="50" HEIGHT="21" ALIGN="BOTTOM" BORDER="0"
SRC="img85.png"
ALT="$D^{-1}A$"></SPAN> with
largest modulus is computed.</TD>
ALT="$D^{-1}A$"> with largest modulus is computed.</TD>
</TR>
</TABLE>
</DIV>
@@ -372,7 +372,7 @@ Parameters defining the aggregation algorithm.
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1251"></A>
<DIV ALIGN="CENTER"><A NAME="1252"></A>
<TABLE>
<CAPTION><STRONG>Table 5:</STRONG>
Parameters defining the coarse-space correction at the coarsest
@@ -386,76 +386,82 @@ level.</CAPTION>
<TD ALIGN="LEFT"><SMALL>DEFAULT</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198><SMALL>COMMENTS</SMALL></TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_solve_</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'BJAC'</TT> <TT>'UMF'</TT> <TT>'SLU'</TT>
<TT>'SLUDIST'</TT></TD>
<TD ALIGN="LEFT"><TT>'BJAC'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Solver used at the coarsest level: block Jacobi, sequential LU from UMFPACK,
sequential LU from SuperLU, distributed LU from SuperLU_Dist.
With <TT>'SLUDIST'</TT> the coarsest matrix
must be distributed; with <TT>'UMF'</TT> or
<TT>'SLU'</TT> it must be replicated.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_mat_</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'DISTR'</TT> <TT>'REPL'</TT></TD>
<TD ALIGN="LEFT"><TT>'DISTR'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Coarsest matrix: distributed among the processors or replicated on each of them.</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Coarsest matrix: distributed among the processors or
replicated on each of them.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_solve_</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'BJAC'</TT> <TT>'UMF'</TT>
<TT>'SLU'</TT> <TT>'SLUDIST'</TT></TD>
<TD ALIGN="LEFT"><TT>'BJAC'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Solver used at the coarsest level: block Jacobi, sequential
LU from UMFPACK, sequential LU from SuperLU,
distributed LU from SuperLU_Dist.
<TT>'BJAC'</TT> and <TT>'SLUDIST'</TT> require the coarsest
matrix to be distributed, while <TT>'UMF'</TT> and
<TT>'SLU'</TT> require it to be replicated.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_subsolve_</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'ILU'</TT> <TT>'MILU'</TT> <TT>'ILUT'</TT>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'ILU'</TT> <TT>'MILU'</TT>
<TT>'ILUT'</TT>
<TT>'UMF'</TT> <TT>'SLU'</TT></TD>
<TD ALIGN="LEFT"><TT>'UMF'</TT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Solver for the diagonal blocks of the coarse matrix, in case the block Jacobi solver
is chosen as coarsest-level solver: ILU(<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Solver for the diagonal blocks of the coarse matrix,
in case the block Jacobi solver
is chosen as coarsest-level solver: ILU(<IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img34.png"
ALT="$p$"></SPAN>), MILU(<SPAN CLASS="MATH"><IMG
ALT="$p$">), MILU(<IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img34.png"
ALT="$p$"></SPAN>), ILU(<SPAN CLASS="MATH"><IMG
ALT="$p$">),
ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p,t$"></SPAN>), LU from UMFPACK,
ALT="$p,t$">), LU from UMFPACK,
LU from SuperLU, plus triangular solve.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_sweeps_</code></TD>
<TD ALIGN="LEFT"><code>integer</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img93.png"
ALT="$&gt; 0$"></SPAN></TD>
ALT="$&gt; 0$"></TD>
<TD ALIGN="LEFT">4</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Number of Block-Jacobi sweeps when 'BJAC' is used as coarsest-level solver.</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Number of Block-Jacobi sweeps when 'BJAC' is used as
coarsest-level solver.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_fillin_</code></TD>
<TD ALIGN="LEFT"><code>integer</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img88.png"
ALT="$\ge 0$"></SPAN></TD>
ALT="$\ge 0$"></TD>
<TD ALIGN="LEFT">0</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Fill-in level <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Fill-in level <IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img34.png"
ALT="$p$"></SPAN> of the incomplete LU factorizations.</TD>
ALT="$p$"> of the incomplete LU factorizations.</TD>
</TR>
<TR><TD ALIGN="LEFT"><code>mld_coarse_iluthrs_</code></TD>
<TD ALIGN="LEFT"><code>real(</code><SPAN CLASS="textit">kind_parameter</SPAN><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;real.&nbsp;num.&nbsp;<SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;real.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img88.png"
ALT="$\ge 0$"></SPAN></TD>
ALT="$\ge 0$"></TD>
<TD ALIGN="LEFT">0</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Drop tolerance <SPAN CLASS="MATH"><IMG
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=198>Drop tolerance <IMG
WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img89.png"
ALT="$t$"></SPAN> in the ILU(<SPAN CLASS="MATH"><IMG
ALT="$t$"> in the ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png"
ALT="$p,t$"></SPAN>) factorization.</TD>
ALT="$p,t$">) factorization.</TD>
</TR>
</TABLE>
</DIV>
@@ -467,8 +473,7 @@ level.</CAPTION>
<P>
<P>
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@@ -494,11 +499,11 @@ level.</CAPTION>
<B> Previous:</B> <A NAME="tex2html260"
HREF="node16.html">Subroutine mld_precinit</A>
&nbsp; <B> <A NAME="tex2html268"
HREF="node2.html">Contents</A></B> </DIV>
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<ADDRESS>
Salvatore Filippone
2008-07-23
2008-07-24
</ADDRESS>
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