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Doc fixes.
stopcriterion
Salvatore Filippone 9 years ago
parent 7291145200
commit bff527b4a7
31 changed files with 1762 additions and 1542 deletions
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@ -23,18 +23,18 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<BODY > <BODY >
<!--Navigation Panel--> <!--Navigation Panel-->
<A NAME="tex2html14" <A NAME="tex2html15"
HREF="node1.html"> HREF="node1.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_g.png"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up_g.png">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev_g.png"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev_g.png">
<A NAME="tex2html12" <A NAME="tex2html13"
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR> <BR>
<B> Next:</B> <A NAME="tex2html15" <B> Next:</B> <A NAME="tex2html16"
HREF="node1.html">Abstract</A> HREF="node1.html">Abstract</A>
&nbsp; <B> <A NAME="tex2html13" &nbsp; <B> <A NAME="tex2html14"
HREF="node2.html">Contents</A></B> HREF="node2.html">Contents</A></B>
<BR> <BR>
<BR> <BR>
@ -77,69 +77,69 @@ Mar. 31, 2016
<A NAME="CHILD_LINKS"></A> <A NAME="CHILD_LINKS"></A>
<UL> <UL>
<LI><A NAME="tex2html16"
HREF="node1.html">Abstract</A>
<LI><A NAME="tex2html17" <LI><A NAME="tex2html17"
HREF="node2.html">Contents</A> HREF="node1.html">Abstract</A>
<LI><A NAME="tex2html18" <LI><A NAME="tex2html18"
HREF="node3.html">General Overview</A> HREF="node2.html">Contents</A>
<LI><A NAME="tex2html19" <LI><A NAME="tex2html19"
HREF="node4.html">Code Distribution</A> HREF="node3.html">General Overview</A>
<LI><A NAME="tex2html20" <LI><A NAME="tex2html20"
HREF="node4.html">Code Distribution</A>
<LI><A NAME="tex2html21"
HREF="node5.html">Configuring and Building MLD2P4</A> HREF="node5.html">Configuring and Building MLD2P4</A>
<UL> <UL>
<LI><A NAME="tex2html21"
HREF="node6.html">Prerequisites</A>
<LI><A NAME="tex2html22" <LI><A NAME="tex2html22"
HREF="node7.html">Optional third party libraries</A> HREF="node6.html">Prerequisites</A>
<LI><A NAME="tex2html23" <LI><A NAME="tex2html23"
HREF="node8.html">Configuration options</A> HREF="node7.html">Optional third party libraries</A>
<LI><A NAME="tex2html24" <LI><A NAME="tex2html24"
HREF="node9.html">Bug reporting</A> HREF="node8.html">Configuration options</A>
<LI><A NAME="tex2html25" <LI><A NAME="tex2html25"
HREF="node9.html">Bug reporting</A>
<LI><A NAME="tex2html26"
HREF="node10.html">Example and test programs</A> HREF="node10.html">Example and test programs</A>
</UL> </UL>
<BR> <BR>
<LI><A NAME="tex2html26" <LI><A NAME="tex2html27"
HREF="node11.html">Multi-level Domain Decomposition Background</A> HREF="node11.html">Multi-level Domain Decomposition Background</A>
<UL> <UL>
<LI><A NAME="tex2html27"
HREF="node12.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html28" <LI><A NAME="tex2html28"
HREF="node12.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html29"
HREF="node13.html">Smoothed Aggregation</A> HREF="node13.html">Smoothed Aggregation</A>
</UL> </UL>
<BR> <BR>
<LI><A NAME="tex2html29" <LI><A NAME="tex2html30"
HREF="node14.html">Getting Started</A> HREF="node14.html">Getting Started</A>
<UL> <UL>
<LI><A NAME="tex2html30" <LI><A NAME="tex2html31"
HREF="node15.html">Examples</A> HREF="node15.html">Examples</A>
</UL> </UL>
<BR> <BR>
<LI><A NAME="tex2html31" <LI><A NAME="tex2html32"
HREF="node16.html">User Interface</A> HREF="node16.html">User Interface</A>
<UL> <UL>
<LI><A NAME="tex2html32"
HREF="node17.html">Subroutine mld_precinit</A>
<LI><A NAME="tex2html33" <LI><A NAME="tex2html33"
HREF="node18.html">Subroutine mld_precset</A> HREF="node17.html">Subroutine mld_precinit</A>
<LI><A NAME="tex2html34" <LI><A NAME="tex2html34"
HREF="node19.html">Subroutine mld_precbld</A> HREF="node18.html">Subroutine mld_precset</A>
<LI><A NAME="tex2html35" <LI><A NAME="tex2html35"
HREF="node20.html">Subroutine mld_precaply</A> HREF="node19.html">Subroutine mld_precbld</A>
<LI><A NAME="tex2html36" <LI><A NAME="tex2html36"
HREF="node21.html">Subroutine mld_precfree</A> HREF="node20.html">Subroutine mld_precaply</A>
<LI><A NAME="tex2html37" <LI><A NAME="tex2html37"
HREF="node21.html">Subroutine mld_precfree</A>
<LI><A NAME="tex2html38"
HREF="node22.html">Subroutine mld_precdescr</A> HREF="node22.html">Subroutine mld_precdescr</A>
</UL> </UL>
<BR> <BR>
<LI><A NAME="tex2html38"
HREF="node23.html">Error Handling</A>
<LI><A NAME="tex2html39" <LI><A NAME="tex2html39"
HREF="node24.html">License</A> HREF="node23.html">Error Handling</A>
<LI><A NAME="tex2html40" <LI><A NAME="tex2html40"
HREF="node25.html">Bibliography</A> HREF="node24.html">License</A>
<LI><A NAME="tex2html41" <LI><A NAME="tex2html41"
HREF="node25.html">Bibliography</A>
<LI><A NAME="tex2html42"
HREF="node26.html">About this document ...</A> HREF="node26.html">About this document ...</A>
</UL> </UL>
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@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<BODY > <BODY >
<!--Navigation Panel--> <!--Navigation Panel-->
<A NAME="tex2html52" <A NAME="tex2html53"
HREF="node2.html"> HREF="node2.html">
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<A NAME="tex2html42" <A NAME="tex2html43"
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<A NAME="tex2html50" <A NAME="tex2html51"
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
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<B> Up:</B> <A NAME="tex2html49" <B> Up:</B> <A NAME="tex2html50"
HREF="userhtml.html">userhtml</A> HREF="userhtml.html">userhtml</A>
<B> Previous:</B> <A NAME="tex2html43" <B> Previous:</B> <A NAME="tex2html44"
HREF="userhtml.html">userhtml</A> HREF="userhtml.html">userhtml</A>
&nbsp; <B> <A NAME="tex2html51" &nbsp; <B> <A NAME="tex2html52"
HREF="node2.html">Contents</A></B> HREF="node2.html">Contents</A></B>
<BR> <BR>
<BR> <BR>
@ -88,26 +88,26 @@ the user interface of MLD2P4.
<HR> <HR>
<!--Navigation Panel--> <!--Navigation Panel-->
<A NAME="tex2html52" <A NAME="tex2html53"
HREF="node2.html"> HREF="node2.html">
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<B> Up:</B> <A NAME="tex2html49" <B> Up:</B> <A NAME="tex2html50"
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<B> Previous:</B> <A NAME="tex2html43" <B> Previous:</B> <A NAME="tex2html44"
HREF="userhtml.html">userhtml</A> HREF="userhtml.html">userhtml</A>
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@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<A NAME="tex2html182" <A NAME="tex2html183"
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
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<BODY > <BODY >
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<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
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HREF="node2.html">Contents</A></B> HREF="node2.html">Contents</A></B>
<BR> <BR>
<BR> <BR>
@ -145,34 +145,34 @@ is referred to [<A
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
<UL> <UL>
<LI><A NAME="tex2html198"
HREF="node12.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html199" <LI><A NAME="tex2html199"
HREF="node12.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html200"
HREF="node13.html">Smoothed Aggregation</A> HREF="node13.html">Smoothed Aggregation</A>
</UL> </UL>
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<BODY > <BODY >
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@ -738,26 +738,26 @@ $w = y_1$;
<P> <P>
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@ -87,7 +87,7 @@ The following steps are required:
of the preconditioner. Examples of use of <code>mld_precset</code> are given in of the preconditioner. Examples of use of <code>mld_precset</code> are given in
Section&nbsp;<A HREF="node15.html#sec:examples">5.1</A>; a complete list of all the Section&nbsp;<A HREF="node15.html#sec:examples">5.1</A>; a complete list of all the
preconditioner parameters and their allowed and default values is provided in preconditioner parameters and their allowed and default values is provided in
Section&nbsp;<A HREF="node16.html#sec:userinterface">6</A>, Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">5</A>. Section&nbsp;<A HREF="node16.html#sec:userinterface">6</A>, Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>.
</LI> </LI>
<LI><I>Build the preconditioner for a given matrix.</I> This is performed by <LI><I>Build the preconditioner for a given matrix.</I> This is performed by
the routine <code>mld_precbld</code>. the routine <code>mld_precbld</code>.
@ -166,8 +166,9 @@ Preconditioner types, corresponding strings and default choices.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=221>Multi-level hybrid preconditioner (additive on the <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=221>Multi-level hybrid preconditioner (additive on the
same level and multiplicative through the levels), same level and multiplicative through the levels),
with pre- and post-smoothing. with pre- and post-smoothing.
Number of levels: 2. Target aggregation size: cubic
Smoother: RAS with overlap 1 and ILU(0) root of the size at the finest
level. Smoother: RAS with overlap 1 and ILU(0)
on the local blocks. on the local blocks.
Aggregation: decoupled smoothed aggregation with Aggregation: decoupled smoothed aggregation with
threshold <IMG threshold <IMG
@ -178,7 +179,7 @@ Preconditioner types, corresponding strings and default choices.
Coarsest-level solver: Coarsest-level solver:
4 sweeps of the block-Jacobi solver, 4 sweeps of the block-Jacobi solver,
with LU or ILU factorization of the blocks with LU or ILU factorization of the blocks
(UMFPACK for the double precision versions and (MUMPS, or UMFPACK for the double precision versions and
SuperLU for the single precision ones, if the packages SuperLU for the single precision ones, if the packages
have been installed; ILU(0), otherwise).</TD> have been installed; ILU(0), otherwise).</TD>
</TR> </TR>
@ -197,32 +198,32 @@ Preconditioner types, corresponding strings and default choices.
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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@ -183,7 +183,7 @@ which uses RAS, with overlap 1 and ILU(0) on the blocks,
as pre- and post-smoother, and applies five block-Jacobi sweeps, with as pre- and post-smoother, and applies five block-Jacobi sweeps, with
the UMFPACK LU factorization on the blocks, as distributed coarsest-level the UMFPACK LU factorization on the blocks, as distributed coarsest-level
solver. Again, <code>mld_precset</code> is used only to set solver. Again, <code>mld_precset</code> is used only to set
non-default values of the parameters (see Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">5</A>). non-default values of the parameters (see Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>).
In both cases, the construction and the application of the preconditioner In both cases, the construction and the application of the preconditioner
are carried out as for the default multi-level preconditioner. are carried out as for the default multi-level preconditioner.
The code fragments shown in in The code fragments shown in in
@ -327,26 +327,26 @@ Setup of a one-level Schwarz preconditioner.</CAPTION>
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@ -113,42 +113,42 @@ A description of each routine is given in the remainder of this section.
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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<LI><A NAME="tex2html257"
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<LI><A NAME="tex2html258" <LI><A NAME="tex2html258"
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<LI><A NAME="tex2html259" <LI><A NAME="tex2html259"
HREF="node19.html">Subroutine mld_precbld</A> HREF="node18.html">Subroutine mld_precset</A>
<LI><A NAME="tex2html260" <LI><A NAME="tex2html260"
HREF="node20.html">Subroutine mld_precaply</A> HREF="node19.html">Subroutine mld_precbld</A>
<LI><A NAME="tex2html261" <LI><A NAME="tex2html261"
HREF="node21.html">Subroutine mld_precfree</A> HREF="node20.html">Subroutine mld_precaply</A>
<LI><A NAME="tex2html262" <LI><A NAME="tex2html262"
HREF="node21.html">Subroutine mld_precfree</A>
<LI><A NAME="tex2html263"
HREF="node22.html">Subroutine mld_precdescr</A> HREF="node22.html">Subroutine mld_precdescr</A>
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@ -114,26 +114,26 @@ according to the preconditioner type chosen by the user.
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@ -112,7 +112,7 @@ modified, and thus has no direct knowledge about the new type.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The parameter to be set. It can be specified by <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The parameter to be set. It can be specified by
a predefined constant, or through its name; the string a predefined constant, or through its name; the string
is case-insensitive. See also is case-insensitive. See also
Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">5</A>.</TD> Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>.</TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>val </code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>val </code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>integer</code> <I>or</I> <code>character(len=*)</code> <I>or</I> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>integer</code> <I>or</I> <code>character(len=*)</code> <I>or</I>
@ -122,7 +122,7 @@ modified, and thus has no direct knowledge about the new type.
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34>&nbsp;</TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34>&nbsp;</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The value of the parameter to be set. The list of allowed <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The value of the parameter to be set. The list of allowed
values and the corresponding data types is given in values and the corresponding data types is given in
Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">5</A>. Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>.
When the value is of type <code>character(len=*)</code>, When the value is of type <code>character(len=*)</code>,
it is also treated as case insensitive.</TD> it is also treated as case insensitive.</TD>
</TR> </TR>
@ -174,7 +174,7 @@ can be logically divided into four groups, i.e. parameters defining
</LI> </LI>
</OL> </OL>
A list of the parameters that can be set, along with their allowed and A list of the parameters that can be set, along with their allowed and
default values, is given in Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">5</A>. default values, is given in Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>.
For a detailed description of the meaning of the parameters, please For a detailed description of the meaning of the parameters, please
refer to Section&nbsp;<A HREF="node11.html#sec:background">4</A>. refer to Section&nbsp;<A HREF="node11.html#sec:background">4</A>.
@ -209,7 +209,7 @@ according to their needs.
<P> <P>
<BR><P></P> <BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1312"></A> <DIV ALIGN="CENTER"><A NAME="1324"></A>
<TABLE> <TABLE>
<CAPTION><STRONG>Table 2:</STRONG> <CAPTION><STRONG>Table 2:</STRONG>
Parameters defining the type of multi-level preconditioner. Parameters defining the type of multi-level preconditioner.
@ -253,7 +253,7 @@ Parameters defining the type of multi-level preconditioner.
<P> <P>
<BR><P></P> <BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1314"></A> <DIV ALIGN="CENTER"><A NAME="1326"></A>
<TABLE> <TABLE>
<CAPTION><STRONG>Table 3:</STRONG> <CAPTION><STRONG>Table 3:</STRONG>
Parameters defining the one-level preconditioner used as smoother. Parameters defining the one-level preconditioner used as smoother.
@ -261,49 +261,66 @@ Parameters defining the one-level preconditioner used as smoother.
<TR><TD> <TR><TD>
<DIV ALIGN="CENTER"> <DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>what</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><SMALL>DATA TYPE</SMALL></TD> <code>what</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><code>val</code></TD> <TD ALIGN="LEFT"><FONT SIZE="-1"> <SMALL>DATA TYPE</SMALL> </FONT></TD>
<TD ALIGN="LEFT"><SMALL>DEFAULT</SMALL></TD> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> <code>val</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><SMALL>COMMENTS</SMALL></TD> <TD ALIGN="LEFT"><FONT SIZE="-1"> <SMALL>DEFAULT</SMALL> </FONT></TD>
</TR> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1">
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_ovr_</code> <BR><code>SUB_OVR</code></TD> <SMALL>COMMENTS</SMALL> </FONT></TD>
<TD ALIGN="LEFT"><code>integer</code></TD> </TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>any&nbsp;int.&nbsp;num.&nbsp;<IMG <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1"> <code>mld_sub_ovr_</code> <BR><code>SUB_OVR</code> </FONT></TD>
<TD ALIGN="LEFT"><FONT SIZE="-1"> <code>integer</code>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png" SRC="img90.png"
ALT="$\ge 0$"></TD> ALT="$\ge 0$">
<TD ALIGN="LEFT">1</TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Number of overlap layers.</TD> <TD ALIGN="LEFT"><FONT SIZE="-1"> 1
</TR> </FONT></TD>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_restr_</code> <BR><code>SUB_RESTR</code></TD> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Number of overlap layers. </FONT></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD> </TR>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'HALO'</TT> <TT>'NONE'</TT></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><TT>'HALO'</TT></TD> <code>mld_sub_restr_</code> <BR><code>SUB_RESTR</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Type of restriction operator: <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>character(len=*)</code>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> <TT>'HALO'</TT> <TT>'NONE'</TT>
</FONT></TD>
<TD ALIGN="LEFT"><FONT SIZE="-1"> <TT>'HALO'</TT>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Type of restriction operator:
<TT>'HALO'</TT> for taking into account the overlap, <TT>'NONE'</TT> <TT>'HALO'</TT> for taking into account the overlap, <TT>'NONE'</TT>
for neglecting it.</TD> for neglecting it. </FONT></TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_prol_</code> <BR><code>SUB_PROL</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><code>character(len=*)</code></TD> <code>mld_sub_prol_</code> <BR><code>SUB_PROL</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'SUM'</TT> <TT>'NONE'</TT></TD> <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>character(len=*)</code>
<TD ALIGN="LEFT"><TT>'NONE'</TT></TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Type of prolongation operator: <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> <TT>'SUM'</TT> <TT>'NONE'</TT>
</FONT></TD>
<TD ALIGN="LEFT"><FONT SIZE="-1"> <TT>'NONE'</TT>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Type of prolongation operator:
<TT>'SUM'</TT> for adding the contributions from the overlap, <TT>'NONE'</TT> <TT>'SUM'</TT> for adding the contributions from the overlap, <TT>'NONE'</TT>
for neglecting them.</TD> for neglecting them. </FONT></TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_solve_</code> <BR><code>SUB_SOLVE</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><code>character(len=*)</code></TD> <code>mld_sub_solve_</code> <BR><code>SUB_SOLVE</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'DIAG'</TT> <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>character(len=*)</code>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> <TT>'DIAG'</TT>
<TT>'GS'</TT> <TT>'BWGS'</TT> <TT>'GS'</TT> <TT>'BWGS'</TT>
<TT>'ILU'</TT> <TT>'ILU'</TT>
<TT>'MILU'</TT> <TT>'ILUT'</TT> <TT>'MILU'</TT> <TT>'ILUT'</TT>
<TT>'UMF'</TT> <TT>'UMF'</TT>
<TT>'SLU'</TT> <TT>'SLU'</TT>
<TT>'MUMPS'</TT></TD> <TT>'MUMPS'</TT>
<TD ALIGN="LEFT"><TT>'ILU'</TT></TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Predefined local solver: pointwise Jacobi <TD ALIGN="LEFT"><FONT SIZE="-1"> <TT>'ILU'</TT>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Predefined local solver: pointwise Jacobi
(diagonal scaling), (diagonal scaling),
(forward) Gauss-Seidel, Backward (forward) Gauss-Seidel, Backward
Gauss-Seidel, ILU(<IMG Gauss-Seidel, ILU(<IMG
@ -317,55 +334,70 @@ Parameters defining the one-level preconditioner used as smoother.
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img36.png" SRC="img36.png"
ALT="$p,t$">), LU from UMFPACK, LU from ALT="$p,t$">), LU from UMFPACK, LU from
SuperLU (plus triangular solve), LU from MUMPS.</TD> SuperLU (plus triangular solve), LU from MUMPS. </FONT></TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_fillin_</code> <BR><code>SUB_FILLIN</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><code>integer</code></TD> <code>mld_sub_fillin_</code> <BR><code>SUB_FILLIN</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>integer</code>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> Any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png" SRC="img90.png"
ALT="$\ge 0$"></TD> ALT="$\ge 0$">
<TD ALIGN="LEFT">0</TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Fill-in level <IMG <TD ALIGN="LEFT"><FONT SIZE="-1"> 0
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Fill-in level <IMG
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img35.png" SRC="img35.png"
ALT="$p$"> of the incomplete LU factorizations.</TD> ALT="$p$"> of the incomplete LU factorizations. </FONT></TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_iluthrs_</code> <BR><code>SUB_ILUTHRS</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><code>real(</code><I>kind_parameter</I><code>)</code></TD> <code>mld_sub_iluthrs_</code> <BR><code>SUB_ILUTHRS</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;real&nbsp;num.&nbsp;<IMG <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>real(</code><I>kind_parameter</I><code>)</code>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> Any&nbsp;real&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img90.png" SRC="img90.png"
ALT="$\ge 0$"></TD> ALT="$\ge 0$">
<TD ALIGN="LEFT">0</TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Drop tolerance <IMG <TD ALIGN="LEFT"><FONT SIZE="-1"> 0
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Drop tolerance <IMG
WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="11" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
SRC="img91.png" SRC="img91.png"
ALT="$t$"> in the ILU(<IMG ALT="$t$"> in the ILU(<IMG
WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="27" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img36.png" SRC="img36.png"
ALT="$p,t$">) factorization.</TD> ALT="$p,t$">) factorization. </FONT></TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_sub_ren_</code> <BR><code>SUB_REN</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><code>character(len=*)</code></TD> <code>mld_sub_ren_</code> <BR><code>SUB_REN</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><TT>'RENUM_NONE'</TT> <TT>'RENUM_GLOBAL'</TT> </TD> <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>character(len=*)</code>
<TD ALIGN="LEFT"><TT>'RENUM_NONE'</TT></TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Row and column reordering of the local submatrices: no reordering, <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> <TT>'RENUM_NONE'</TT> <TT>'RENUM_GLOBAL'</TT>
</FONT></TD>
<TD ALIGN="LEFT"><FONT SIZE="-1"> <TT>'RENUM_NONE'</TT>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Row and column reordering of the local submatrices: no reordering,
reordering according to the global numbering of the rows and columns of reordering according to the global numbering of the rows and columns of
the whole matrix.</TD> the whole matrix. </FONT></TD>
</TR> </TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><code>mld_solver_sweeps_</code> <BR><code>SOLVER_SWEEPS</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=99><FONT SIZE="-1">
<TD ALIGN="LEFT"><code>integer</code></TD> <code>mld_solver_sweeps_</code> <BR><code>SOLVER_SWEEPS</code> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91>Any&nbsp;int.&nbsp;num.&nbsp;<IMG <TD ALIGN="LEFT"><FONT SIZE="-1"> <code>integer</code>
</FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=91><FONT SIZE="-1"> Any&nbsp;int.&nbsp;num.&nbsp;<IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img92.png" SRC="img92.png"
ALT="$\ge 1$"></TD> ALT="$\ge 1$">
<TD ALIGN="LEFT">1</TD> </FONT></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142>Number of sweeps for iterative local solver <TD ALIGN="LEFT"><FONT SIZE="-1"> 1
(currently only Gauss-Seidel).</TD> </FONT></TD>
</TR> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><FONT SIZE="-1"> Number of sweeps for iterative local solver
</TABLE> (currently only Gauss-Seidel). </FONT></TD>
</DIV> </TR>
</TABLE></DIV>
</TD></TR> </TD></TR>
</TABLE> </TABLE>
</DIV><P></P> </DIV><P></P>
@ -373,7 +405,7 @@ Parameters defining the one-level preconditioner used as smoother.
<P> <P>
<BR><P></P> <BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1316"></A> <DIV ALIGN="CENTER"><A NAME="1328"></A>
<TABLE> <TABLE>
<CAPTION><STRONG>Table 4:</STRONG> <CAPTION><STRONG>Table 4:</STRONG>
Parameters defining the aggregation algorithm. Parameters defining the aggregation algorithm.
@ -449,6 +481,29 @@ Parameters defining the aggregation algorithm.
matrix graph. Since aggregation is matrix graph. Since aggregation is
heuristics, results will be different.</TD> heuristics, results will be different.</TD>
</TR> </TR>
</TABLE>
</DIV>
</TD></TR>
</TABLE>
</DIV><P></P>
<BR>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1330"></A>
<TABLE>
<CAPTION><STRONG>Table 5:</STRONG>
Parameters defining the aggregation algorithm.
</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>what</code></TD>
<TD ALIGN="LEFT"><SMALL>DATA TYPE</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><code>val</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><SMALL>DEFAULT</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=170><SMALL>COMMENTS</SMALL></TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>mld_aggr_kind_</code> <BR><code>AGGR_KIND</code></TD> <TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=142><code>mld_aggr_kind_</code> <BR><code>AGGR_KIND</code></TD>
<TD ALIGN="LEFT"><code>character(len=*)</code></TD> <TD ALIGN="LEFT"><code>character(len=*)</code></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'SMOOTHED'</TT> <TT>'NONSMOOTHED'</TT></TD> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=68><TT>'SMOOTHED'</TT> <TT>'NONSMOOTHED'</TT></TD>
@ -547,9 +602,9 @@ Parameters defining the aggregation algorithm.
<P> <P>
<BR><P></P> <BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1319"></A> <DIV ALIGN="CENTER"><A NAME="1333"></A>
<TABLE> <TABLE>
<CAPTION><STRONG>Table 5:</STRONG> <CAPTION><STRONG>Table 6:</STRONG>
Parameters defining the coarse-space correction at the coarsest Parameters defining the coarse-space correction at the coarsest
level.</CAPTION> level.</CAPTION>
<TR><TD> <TR><TD>
@ -662,26 +717,26 @@ level.</CAPTION>
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@ -53,63 +53,63 @@ Contents</A>
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HREF="node5.html">Configuring and Building MLD2P4</A> HREF="node5.html">Configuring and Building MLD2P4</A>
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<LI><A NAME="tex2html67"
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HREF="node7.html">Optional third party libraries</A> HREF="node6.html">Prerequisites</A>
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<UL> <UL>
<LI><A NAME="tex2html73"
HREF="node12.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html74" <LI><A NAME="tex2html74"
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<UL> <UL>
<LI><A NAME="tex2html78"
HREF="node17.html">Subroutine mld_precinit</A>
<LI><A NAME="tex2html79" <LI><A NAME="tex2html79"
HREF="node18.html">Subroutine mld_precset</A> HREF="node17.html">Subroutine mld_precinit</A>
<LI><A NAME="tex2html80" <LI><A NAME="tex2html80"
HREF="node19.html">Subroutine mld_precbld</A> HREF="node18.html">Subroutine mld_precset</A>
<LI><A NAME="tex2html81" <LI><A NAME="tex2html81"
HREF="node20.html">Subroutine mld_precaply</A> HREF="node19.html">Subroutine mld_precbld</A>
<LI><A NAME="tex2html82" <LI><A NAME="tex2html82"
HREF="node21.html">Subroutine mld_precfree</A> HREF="node20.html">Subroutine mld_precaply</A>
<LI><A NAME="tex2html83" <LI><A NAME="tex2html83"
HREF="node21.html">Subroutine mld_precfree</A>
<LI><A NAME="tex2html84"
HREF="node22.html">Subroutine mld_precdescr</A> HREF="node22.html">Subroutine mld_precdescr</A>
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<LI><A NAME="tex2html84"
HREF="node23.html">Error Handling</A>
<LI><A NAME="tex2html85" <LI><A NAME="tex2html85"
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@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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@ -184,26 +184,26 @@ and hence it is completely transparent to the user.
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@ -79,15 +79,15 @@ real and complex data, in both single and double precision.
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A> <A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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<LI><A NAME="tex2html123"
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<LI><A NAME="tex2html124" <LI><A NAME="tex2html124"
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<LI><A NAME="tex2html125" <LI><A NAME="tex2html125"
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HREF="node9.html">Bug reporting</A> HREF="node8.html">Configuration options</A>
<LI><A NAME="tex2html127" <LI><A NAME="tex2html127"
HREF="node9.html">Bug reporting</A>
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HREF="node10.html">Example and test programs</A> HREF="node10.html">Example and test programs</A>
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make install make install
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@ -23,18 +23,18 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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@ -77,69 +77,69 @@ Mar. 31, 2016
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<LI><A NAME="tex2html32"
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<LI><A NAME="tex2html33" <LI><A NAME="tex2html33"
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@ -86,8 +86,9 @@ Additive Schwarz & \verb|'AS'| & Restricted Additive Schwarz (RAS),
Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive on the Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive on the
same level and multiplicative through the levels), same level and multiplicative through the levels),
with pre- and post-smoothing. with pre- and post-smoothing.
Number of levels: 2. Target aggregation size: cubic
Smoother: RAS with overlap 1 and ILU(0) root of the size at the finest
level. Smoother: RAS with overlap 1 and ILU(0)
on the local blocks. on the local blocks.
Aggregation: decoupled smoothed aggregation with Aggregation: decoupled smoothed aggregation with
threshold $\theta = 0$. threshold $\theta = 0$.
@ -95,7 +96,7 @@ Multilevel &\verb|'ML'| & Multi-level hybrid preconditioner (additive
Coarsest-level solver: Coarsest-level solver:
4 sweeps of the block-Jacobi solver, 4 sweeps of the block-Jacobi solver,
with LU or ILU factorization of the blocks with LU or ILU factorization of the blocks
(UMFPACK for the double precision versions and (MUMPS, or UMFPACK for the double precision versions and
SuperLU for the single precision ones, if the packages SuperLU for the single precision ones, if the packages
have been installed; ILU(0), otherwise). \\ have been installed; ILU(0), otherwise). \\
\hline \hline

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@ -225,6 +225,7 @@ according to their needs.
\bsideways \bsideways
\begin{center} \begin{center}
\small
\begin{tabular}{|p{3.5cm}|l|p{3.2cm}|l|p{5cm}|} \begin{tabular}{|p{3.5cm}|l|p{3.2cm}|l|p{5cm}|}
\hline \hline
\verb|what| & \textsc{data type} & \verb|val| & \textsc{default} & \verb|what| & \textsc{data type} & \verb|val| & \textsc{default} &
@ -348,11 +349,25 @@ according to their needs.
descending degree of the node in the descending degree of the node in the
matrix graph. Since aggregation is matrix graph. Since aggregation is
heuristics, results will be different. \\ \hline heuristics, results will be different. \\ \hline
\hline
\end{tabular}
\end{center}
\caption{Parameters defining the aggregation algorithm.
\label{tab:p_aggregation}}
\esideways
\bsideways
\begin{center}
\begin{tabular}{|p{5cm}|l|p{2.4cm}|p{2.4cm}|p{6cm}|}
\hline
\verb|what| & \textsc{data type} & \verb|val| & \textsc{default} &
\textsc{comments} \\ \hline
\verb|mld_aggr_kind_| \break \verb|AGGR_KIND| & \verb|character(len=*)| \verb|mld_aggr_kind_| \break \verb|AGGR_KIND| & \verb|character(len=*)|
& \texttt{'SMOOTHED'} \hspace{2.5cm} \texttt{'NONSMOOTHED'} & \texttt{'SMOOTHED'} \hspace{2.5cm} \texttt{'NONSMOOTHED'}
& \texttt{'SMOOTHED'} & \texttt{'SMOOTHED'}
& Type of aggregation: smoothed, nonsmoothed & Type of aggregation: smoothed, nonsmoothed
(i.e.\ using the tentative prolongator). \\ \hline (i.e.\ using the tentative prolongator). \\
\hline
\verb|mld_aggr_thresh_| \break \verb|AGGR_THRESH| & \verb|real(|\emph{kind\_parameter}\verb|)| \verb|mld_aggr_thresh_| \break \verb|AGGR_THRESH| & \verb|real(|\emph{kind\_parameter}\verb|)|
& Any~real~num. $\in [0, 1]$ & Any~real~num. $\in [0, 1]$
& 0.05 & 0.05
@ -390,7 +405,7 @@ according to their needs.
\end{tabular} \end{tabular}
\end{center} \end{center}
\caption{Parameters defining the aggregation algorithm. \caption{Parameters defining the aggregation algorithm.
\label{tab:p_aggregation}} \label{tab:p_aggregation_1}}
\esideways \esideways
\bsideways \bsideways

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