New interface for MUMPS_IPAR_ENTRY and MUMPS_RPAR_ENTRY. Document same.

stopcriterion
Salvatore Filippone 6 years ago
parent 37f068539a
commit 42b51e74f0

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@ -67,7 +67,7 @@ Ax=b,
<A NAME="eq:system"></A> <A NAME="eq:system"></A>
<TABLE WIDTH="100%" ALIGN="CENTER"> <TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:system"></A><IMG <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:system"></A><IMG
WIDTH="57" HEIGHT="30" BORDER="0" WIDTH="58" HEIGHT="30" BORDER="0"
SRC="img2.png" SRC="img2.png"
ALT="\begin{displaymath} ALT="\begin{displaymath}
Ax=b, Ax=b,
@ -116,8 +116,7 @@ a hierarchy of index spaces and a corresponding hierarchy of matrices,
<IMG <IMG
WIDTH="398" HEIGHT="30" BORDER="0" WIDTH="398" HEIGHT="30" BORDER="0"
SRC="img7.png" SRC="img7.png"
ALT="\begin{displaymath}\Omega^1 \equiv \Omega \supset \Omega^2 \supset \ldots \supset \Omega^{nlev}, ALT="\begin{displaymath}\Omega^1 \equiv \Omega \supset \Omega^2 \supset \ldots \supset \Omega^{nlev}, \quad A^1 \equiv A, A^2, \ldots, A^{nlev}, \end{displaymath}">
\quad A^1 \equiv A, A^2, \ldots, A^{nlev}, \end{displaymath}">
</DIV> </DIV>
<BR CLEAR="ALL"> <BR CLEAR="ALL">
<P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"> <P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">
@ -133,7 +132,7 @@ A vector space <!-- MATH
$\mathbb{R}^{n_{k}}$ $\mathbb{R}^{n_{k}}$
--> -->
<SPAN CLASS="MATH"><IMG <SPAN CLASS="MATH"><IMG
WIDTH="34" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="33" HEIGHT="19" ALIGN="BOTTOM" BORDER="0"
SRC="img8.png" SRC="img8.png"
ALT="$\mathbb{R}^{n_{k}}$"></SPAN> is associated with <SPAN CLASS="MATH"><IMG ALT="$\mathbb{R}^{n_{k}}$"></SPAN> is associated with <SPAN CLASS="MATH"><IMG
WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
@ -147,11 +146,11 @@ where <SPAN CLASS="MATH"><IMG
SRC="img9.png" SRC="img9.png"
ALT="$\Omega^k$"></SPAN>. ALT="$\Omega^k$"></SPAN>.
For all <SPAN CLASS="MATH"><IMG For all <SPAN CLASS="MATH"><IMG
WIDTH="70" HEIGHT="34" ALIGN="MIDDLE" BORDER="0" WIDTH="71" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
SRC="img11.png" SRC="img11.png"
ALT="$k &lt; nlev$"></SPAN>, a restriction operator and a prolongation one are built, ALT="$k &lt; nlev$"></SPAN>, a restriction operator and a prolongation one are built,
which connect two levels <SPAN CLASS="MATH"><IMG which connect two levels <SPAN CLASS="MATH"><IMG
WIDTH="14" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="14" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img12.png" SRC="img12.png"
ALT="$k$"></SPAN> and <SPAN CLASS="MATH"><IMG ALT="$k$"></SPAN> and <SPAN CLASS="MATH"><IMG
WIDTH="44" HEIGHT="34" ALIGN="MIDDLE" BORDER="0" WIDTH="44" HEIGHT="34" ALIGN="MIDDLE" BORDER="0"
@ -168,7 +167,7 @@ P^k \in \mathbb{R}^{n_k \times n_{k+1}}, \quad
--> -->
<IMG <IMG
WIDTH="253" HEIGHT="30" BORDER="0" WIDTH="254" HEIGHT="30" BORDER="0"
SRC="img14.png" SRC="img14.png"
ALT="\begin{displaymath} ALT="\begin{displaymath}
P^k \in \mathbb{R}^{n_k \times n_{k+1}}, \quad P^k \in \mathbb{R}^{n_k \times n_{k+1}}, \quad
@ -192,7 +191,7 @@ A^{k+1}=R^kA^kP^k.
--> -->
<IMG <IMG
WIDTH="129" HEIGHT="27" BORDER="0" WIDTH="131" HEIGHT="28" BORDER="0"
SRC="img16.png" SRC="img16.png"
ALT="\begin{displaymath} ALT="\begin{displaymath}
A^{k+1}=R^kA^kP^k. A^{k+1}=R^kA^kP^k.
@ -208,19 +207,19 @@ A smoother with iteration matrix <SPAN CLASS="MATH"><IMG
WIDTH="32" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="32" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
SRC="img18.png" SRC="img18.png"
ALT="$M^k$"></SPAN> is set up at each level <SPAN CLASS="MATH"><IMG ALT="$M^k$"></SPAN> is set up at each level <SPAN CLASS="MATH"><IMG
WIDTH="70" HEIGHT="34" ALIGN="MIDDLE" BORDER="0" WIDTH="71" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
SRC="img11.png" SRC="img11.png"
ALT="$k &lt; nlev$"></SPAN>, and a solver ALT="$k &lt; nlev$"></SPAN>, and a solver
is set up at the coarsest level, so that they are ready for application is set up at the coarsest level, so that they are ready for application
(for example, setting up a solver based on the <SPAN CLASS="MATH"><IMG (for example, setting up a solver based on the <SPAN CLASS="MATH"><IMG
WIDTH="30" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="30" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img19.png" SRC="img19.png"
ALT="$LU$"></SPAN> factorization means computing ALT="$LU$"></SPAN> factorization means computing
and storing the <SPAN CLASS="MATH"><IMG and storing the <SPAN CLASS="MATH"><IMG
WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png" SRC="img20.png"
ALT="$L$"></SPAN> and <SPAN CLASS="MATH"><IMG ALT="$L$"></SPAN> and <SPAN CLASS="MATH"><IMG
WIDTH="18" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="18" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
SRC="img21.png" SRC="img21.png"
ALT="$U$"></SPAN> factors). The construction of the hierarchy of AMG components ALT="$U$"></SPAN> factors). The construction of the hierarchy of AMG components
described so far corresponds to the so-called build phase of the preconditioner. described so far corresponds to the so-called build phase of the preconditioner.
@ -257,15 +256,8 @@ end
<IMG <IMG
WIDTH="333" HEIGHT="336" ALIGN="BOTTOM" BORDER="0" WIDTH="333" HEIGHT="336" ALIGN="BOTTOM" BORDER="0"
SRC="img22.png" SRC="img22.png"
ALT="\framebox{ ALT="\framebox{ \begin{minipage}{.85\textwidth} \begin{tabbing} \quad \=\quad \=\quad...
\begin{minipage}{.85\textwidth} ...mm] \&gt;endif [1mm] \&gt;return $u^k$ [1mm] end \end{tabbing} \end{minipage} }">
\begin{tabbing}
\quad \=\quad \=\quad...
...[1mm]
\&gt;endif [1mm]
\&gt;return $u^k$ [1mm]
end
\end{tabbing}\end{minipage}}">
</DIV></TD></TR> </DIV></TD></TR>
</TABLE> </TABLE>

@ -149,7 +149,7 @@ strongly-coupled neighborood of <SPAN CLASS="MATH"><IMG
<A NAME="eq:strongly_coup"></A> <A NAME="eq:strongly_coup"></A>
<TABLE WIDTH="100%" ALIGN="CENTER"> <TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:strongly_coup"></A><IMG <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:strongly_coup"></A><IMG
WIDTH="387" HEIGHT="48" BORDER="0" WIDTH="387" HEIGHT="49" BORDER="0"
SRC="img31.png" SRC="img31.png"
ALT="\begin{displaymath} ALT="\begin{displaymath}
\Omega^k_j \subset \mathcal{N}_i^k(\theta) = \Omega^k_j \subset \mathcal{N}_i^k(\theta) =
@ -212,7 +212,7 @@ MLD2P4, since it has been shown to produce good results in practice
<A NAME="eq:tent_prol"></A> <A NAME="eq:tent_prol"></A>
<TABLE WIDTH="100%" ALIGN="CENTER"> <TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:tent_prol"></A><IMG <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:tent_prol"></A><IMG
WIDTH="286" HEIGHT="51" BORDER="0" WIDTH="287" HEIGHT="52" BORDER="0"
SRC="img34.png" SRC="img34.png"
ALT="\begin{displaymath} ALT="\begin{displaymath}
\bar{P}^k =(\bar{p}_{ij}^k), \quad \bar{p}_{ij}^k = \bar{P}^k =(\bar{p}_{ij}^k), \quad \bar{p}_{ij}^k =
@ -265,9 +265,7 @@ P^k = S^k \bar{P}^k,
<IMG <IMG
WIDTH="90" HEIGHT="30" BORDER="0" WIDTH="90" HEIGHT="30" BORDER="0"
SRC="img37.png" SRC="img37.png"
ALT="\begin{displaymath} ALT="\begin{displaymath} P^k = S^k \bar{P}^k, \end{displaymath}">
P^k = S^k \bar{P}^k,
\end{displaymath}">
</DIV> </DIV>
<BR CLEAR="ALL"> <BR CLEAR="ALL">
<P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"> <P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">
@ -277,7 +275,7 @@ method&nbsp;[<A
HREF="node36.html#BREZINA_VANEK">2</A>,<A HREF="node36.html#BREZINA_VANEK">2</A>,<A
HREF="node36.html#Stuben_01">24</A>]. HREF="node36.html#Stuben_01">24</A>].
A simple choice for <SPAN CLASS="MATH"><IMG A simple choice for <SPAN CLASS="MATH"><IMG
WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="24" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img38.png" SRC="img38.png"
ALT="$S^k$"></SPAN> is the damped Jacobi smoother: ALT="$S^k$"></SPAN> is the damped Jacobi smoother:
</BIG></BIG></BIG> </BIG></BIG></BIG>
@ -292,9 +290,7 @@ S^k = I - \omega^k (D^k)^{-1} A^k_F ,
<IMG <IMG
WIDTH="175" HEIGHT="31" BORDER="0" WIDTH="175" HEIGHT="31" BORDER="0"
SRC="img39.png" SRC="img39.png"
ALT="\begin{displaymath} ALT="\begin{displaymath} S^k = I - \omega^k (D^k)^{-1} A^k_F , \end{displaymath}">
S^k = I - \omega^k (D^k)^{-1} A^k_F ,
\end{displaymath}">
</DIV> </DIV>
<BR CLEAR="ALL"> <BR CLEAR="ALL">
<P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"> <P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">
@ -344,7 +340,7 @@ a_{ij}^k &amp; \m...
</TABLE> </TABLE>
<BR CLEAR="ALL"></DIV><P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"> <BR CLEAR="ALL"></DIV><P></P><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE">
and <SPAN CLASS="MATH"><IMG and <SPAN CLASS="MATH"><IMG
WIDTH="24" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="24" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img44.png" SRC="img44.png"
ALT="$\omega^k$"></SPAN> is an approximation of <SPAN CLASS="MATH"><IMG ALT="$\omega^k$"></SPAN> is an approximation of <SPAN CLASS="MATH"><IMG
WIDTH="61" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" WIDTH="61" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"

@ -93,13 +93,13 @@ operator <!-- MATH
SRC="img53.png" SRC="img53.png"
ALT="$R_i^k \in \mathbb{R}^{n_{k,i} \times n_k}$"></SPAN> ALT="$R_i^k \in \mathbb{R}^{n_{k,i} \times n_k}$"></SPAN>
that maps a vector <SPAN CLASS="MATH"><IMG that maps a vector <SPAN CLASS="MATH"><IMG
WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="22" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img54.png" SRC="img54.png"
ALT="$x^k$"></SPAN> to the vector <SPAN CLASS="MATH"><IMG ALT="$x^k$"></SPAN> to the vector <SPAN CLASS="MATH"><IMG
WIDTH="22" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" WIDTH="22" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
SRC="img55.png" SRC="img55.png"
ALT="$x_i^k$"></SPAN> made of the components of <SPAN CLASS="MATH"><IMG ALT="$x_i^k$"></SPAN> made of the components of <SPAN CLASS="MATH"><IMG
WIDTH="23" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="22" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img54.png" SRC="img54.png"
ALT="$x^k$"></SPAN> ALT="$x^k$"></SPAN>
with indices in <SPAN CLASS="MATH"><IMG with indices in <SPAN CLASS="MATH"><IMG
@ -141,7 +141,7 @@ The classical AS preconditioner <SPAN CLASS="MATH"><IMG
--> -->
<IMG <IMG
WIDTH="218" HEIGHT="59" BORDER="0" WIDTH="219" HEIGHT="59" BORDER="0"
SRC="img59.png" SRC="img59.png"
ALT="\begin{displaymath} ALT="\begin{displaymath}
( M^k_{AS} )^{-1} = \sum_{i=1}^{m_k} P_i^k (A_i^k)^{-1} R_i^{k}, ( M^k_{AS} )^{-1} = \sum_{i=1}^{m_k} P_i^k (A_i^k)^{-1} R_i^{k},
@ -205,7 +205,7 @@ multilevel application phase, requires
</BIG></BIG></BIG> </BIG></BIG></BIG>
<UL> <UL>
<LI>the restriction of <SPAN CLASS="MATH"><IMG <LI>the restriction of <SPAN CLASS="MATH"><IMG
WIDTH="25" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="25" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img67.png" SRC="img67.png"
ALT="$w^k$"></SPAN> to the subspaces <!-- MATH ALT="$w^k$"></SPAN> to the subspaces <!-- MATH
$\mathbb{R}^{n_{k,i}}$ $\mathbb{R}^{n_{k,i}}$

@ -343,7 +343,7 @@ Parameters defining the aggregation algorithm.
$\lfloor 40 \sqrt[3]{n} \rfloor$ $\lfloor 40 \sqrt[3]{n} \rfloor$
--> -->
<SPAN CLASS="MATH"><IMG <SPAN CLASS="MATH"><IMG
WIDTH="64" HEIGHT="38" ALIGN="MIDDLE" BORDER="0" WIDTH="63" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
SRC="img76.png" SRC="img76.png"
ALT="$\lfloor 40 \sqrt[3]{n} \rfloor$"></SPAN>, where <SPAN CLASS="MATH"><IMG ALT="$\lfloor 40 \sqrt[3]{n} \rfloor$"></SPAN>, where <SPAN CLASS="MATH"><IMG
WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
@ -361,7 +361,7 @@ Parameters defining the aggregation algorithm.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any number <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any number
<P> <P>
<SPAN CLASS="MATH"><IMG <SPAN CLASS="MATH"><IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img78.png" SRC="img78.png"
ALT="$&gt; 1$"></SPAN></TD> ALT="$&gt; 1$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82>1.5</TD> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82>1.5</TD>
@ -375,7 +375,7 @@ Parameters defining the aggregation algorithm.
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any integer <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>Any integer
<P> <P>
number <SPAN CLASS="MATH"><IMG number <SPAN CLASS="MATH"><IMG
WIDTH="32" HEIGHT="31" ALIGN="MIDDLE" BORDER="0" WIDTH="31" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
SRC="img78.png" SRC="img78.png"
ALT="$&gt; 1$"></SPAN></TD> ALT="$&gt; 1$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82>20</TD> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=82>20</TD>
@ -393,7 +393,7 @@ Currently, only the
<code>SYMDEC</code> option applies decoupled <code>SYMDEC</code> option applies decoupled
aggregation to the sparsity pattern aggregation to the sparsity pattern
of <SPAN CLASS="MATH"><IMG of <SPAN CLASS="MATH"><IMG
WIDTH="62" HEIGHT="40" ALIGN="MIDDLE" BORDER="0" WIDTH="62" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
SRC="img79.png" SRC="img79.png"
ALT="$A+A^T$"></SPAN>.</TD> ALT="$A+A^T$"></SPAN>.</TD>
</TR> </TR>
@ -471,7 +471,7 @@ number&nbsp;<SPAN CLASS="MATH"><IMG
ALT="$\in [0, 1]$"></SPAN></TD> ALT="$\in [0, 1]$"></SPAN></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>0.01</TD> <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=65>0.01</TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=187>The threshold <SPAN CLASS="MATH"><IMG <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=187>The threshold <SPAN CLASS="MATH"><IMG
WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="13" HEIGHT="20" ALIGN="BOTTOM" BORDER="0"
SRC="img81.png" SRC="img81.png"
ALT="$\theta$"></SPAN> in the aggregation algorithm, 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>. see (<A HREF="node14.html#eq:strongly_coup">3</A>) in Section&nbsp;<A HREF="node14.html#sec:aggregation">4.2</A>.
@ -897,7 +897,17 @@ Parameters defining the smoother or the details of the one-level preconditioner
</SMALL></TD> </SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=62><SMALL CLASS="SMALL"> 0 <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=62><SMALL CLASS="SMALL"> 0
</SMALL></TD> </SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=201><SMALL CLASS="SMALL"> Set an entry in the MUMPS control array, as <TD ALIGN="LEFT" VALIGN="TOP" WIDTH=201><SMALL CLASS="SMALL"> Set an entry in the MUMPS integer control array, as
chosen via the <code>idx</code> optional argument. </SMALL></TD>
</TR>
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=85><SMALL CLASS="SMALL"> <code>'MUMPS_RPAR_ENTRY'</code> </SMALL></TD>
<TD ALIGN="LEFT"><SMALL CLASS="SMALL"> <code>real</code>
</SMALL></TD>
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=71><SMALL CLASS="SMALL"> Any real number
</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"> Set an entry in the MUMPS real control array, as
chosen via the <code>idx</code> optional argument. </SMALL></TD> chosen via the <code>idx</code> optional argument. </SMALL></TD>
</TR> </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>

@ -62,9 +62,9 @@ This method computes <!-- MATH
$y = op(B^{-1})\, x$ $y = op(B^{-1})\, x$
--> -->
<SPAN CLASS="MATH"><IMG <SPAN CLASS="MATH"><IMG
WIDTH="113" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" WIDTH="112" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
SRC="img86.png" SRC="img86.png"
ALT="$y = op(B^{-1}) x$"></SPAN>, where <SPAN CLASS="MATH"><IMG ALT="$y = op(B^{-1})\, x$"></SPAN>, where <SPAN CLASS="MATH"><IMG
WIDTH="19" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" WIDTH="19" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
SRC="img24.png" SRC="img24.png"
ALT="$B$"></SPAN> is a previously built ALT="$B$"></SPAN> is a previously built

@ -72,7 +72,7 @@ Ax=b,
<A NAME="system1"></A> <A NAME="system1"></A>
<TABLE WIDTH="100%" ALIGN="CENTER"> <TABLE WIDTH="100%" ALIGN="CENTER">
<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="system1"></A><IMG <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="system1"></A><IMG
WIDTH="57" HEIGHT="30" BORDER="0" WIDTH="58" HEIGHT="30" BORDER="0"
SRC="img2.png" SRC="img2.png"
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Ax=b, Ax=b,

@ -60,7 +60,7 @@ Mathematics Department, Macquarie University, Sydney.
The command line arguments were: <BR> The command line arguments were: <BR>
<STRONG>latex2html</STRONG> <TT>-local_icons -noaddress -dir ../../html userhtml.tex</TT> <STRONG>latex2html</STRONG> <TT>-local_icons -noaddress -dir ../../html userhtml.tex</TT>
<P> <P>
The translation was initiated on 2018-10-05<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG> The translation was initiated on 2018-10-21<BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG>
<BR><HR> <BR><HR>
</BODY> </BODY>

@ -80,7 +80,7 @@ constant
--> -->
<IMG <IMG
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SRC="img4.png" SRC="img4.png"
ALT="\begin{displaymath}\verb\vert mld_version_string_\vert\end{displaymath}"> ALT="\begin{displaymath}\verb\vert mld_version_string_\vert\end{displaymath}">
</DIV> </DIV>

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Q Q
BT BT
/F45 9.9626 Tf 306.872 659.815 Td [('SUB_ILUTHRS')]TJ /F45 9.9626 Tf 306.872 671.77 Td [('SUB_ILUTHRS')]TJ
ET ET
q q
1 0 0 1 397.889 644.273 cm 1 0 0 1 397.889 656.228 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F45 9.9626 Tf 403.866 659.815 Td [(real\050)]TJ/F18 9.9626 Tf 26.152 0 Td [(kind)]TJ /F45 9.9626 Tf 403.866 671.77 Td [(real\050)]TJ/F18 9.9626 Tf 26.152 0 Td [(kind)]TJ
ET ET
q q
1 0 0 1 448.96 660.014 cm 1 0 0 1 448.96 671.97 cm
[]0 d 0 J 0.398 w 0 0 m 3.055 0 l S []0 d 0 J 0.398 w 0 0 m 3.055 0 l S
Q Q
BT BT
/F18 9.9626 Tf 452.015 659.815 Td [(p)51(ar)51(ameter)]TJ/F45 9.9626 Tf 44.354 0 Td [(\051)]TJ /F18 9.9626 Tf 452.015 671.77 Td [(p)51(ar)51(ameter)]TJ/F45 9.9626 Tf 44.354 0 Td [(\051)]TJ
ET ET
q q
1 0 0 1 507.577 644.273 cm 1 0 0 1 507.577 656.228 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F15 9.9626 Tf 513.555 659.815 Td [(An)28(y)-722(real)-722(n)28(um-)]TJ 0 -11.955 Td [(b)-28(er)]TJ/F25 9.9626 Tf 17.462 0 Td [(\025)]TJ/F15 9.9626 Tf 10.516 0 Td [(0)]TJ /F15 9.9626 Tf 513.555 671.77 Td [(An)28(y)-722(real)-722(n)28(um-)]TJ 0 -11.955 Td [(b)-28(er)]TJ/F25 9.9626 Tf 17.462 0 Td [(\025)]TJ/F15 9.9626 Tf 10.516 0 Td [(0)]TJ
ET ET
q q
1 0 0 1 590.399 644.273 cm 1 0 0 1 590.399 656.228 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F15 9.9626 Tf 596.376 659.815 Td [(0)]TJ /F15 9.9626 Tf 596.376 671.77 Td [(0)]TJ
ET ET
q q
1 0 0 1 664.716 644.273 cm 1 0 0 1 664.716 656.228 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F15 9.9626 Tf 670.693 659.815 Td [(Drop)-314(tolerance)]TJ/F22 9.9626 Tf 67.612 0 Td [(t)]TJ/F15 9.9626 Tf 6.726 0 Td [(in)-314(the)-314(ILU\050)]TJ/F22 9.9626 Tf 49.568 0 Td [(p;)-167(t)]TJ/F15 9.9626 Tf 13.038 0 Td [(\051)-314(factorization.)]TJ /F15 9.9626 Tf 670.693 671.77 Td [(Drop)-314(tolerance)]TJ/F22 9.9626 Tf 67.612 0 Td [(t)]TJ/F15 9.9626 Tf 6.726 0 Td [(in)-314(the)-314(ILU\050)]TJ/F22 9.9626 Tf 49.568 0 Td [(p;)-167(t)]TJ/F15 9.9626 Tf 13.038 0 Td [(\051)-314(factorization.)]TJ
ET ET
q q
1 0 0 1 877.931 644.273 cm 1 0 0 1 877.931 656.228 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
q q
1 0 0 1 300.894 620.363 cm 1 0 0 1 300.894 632.318 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F45 9.9626 Tf 306.872 635.905 Td [('MUMPS_IPAR_ENTRY')]TJ /F45 9.9626 Tf 306.872 647.86 Td [('MUMPS_IPAR_ENTRY')]TJ
ET ET
q q
1 0 0 1 397.889 620.363 cm 1 0 0 1 397.889 632.318 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F45 9.9626 Tf 403.866 635.905 Td [(integer)]TJ /F45 9.9626 Tf 403.866 647.86 Td [(integer)]TJ
ET ET
q q
1 0 0 1 507.577 620.363 cm 1 0 0 1 507.577 632.318 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F15 9.9626 Tf 513.555 635.905 Td [(An)28(y)-2333(in)28(teger)]TJ 0 -11.955 Td [(n)28(um)28(b)-28(er)]TJ /F15 9.9626 Tf 513.555 647.86 Td [(An)28(y)-2333(in)28(teger)]TJ 0 -11.955 Td [(n)28(um)28(b)-28(er)]TJ
ET ET
q q
1 0 0 1 590.399 620.363 cm 1 0 0 1 590.399 632.318 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F15 9.9626 Tf 596.376 635.905 Td [(0)]TJ /F15 9.9626 Tf 596.376 647.86 Td [(0)]TJ
ET ET
q q
1 0 0 1 664.716 620.363 cm 1 0 0 1 664.716 632.318 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
BT BT
/F15 9.9626 Tf 670.693 635.905 Td [(Set)-378(an)-377(en)28(try)-378(in)-378(the)-377(MUMPS)-378(con)28(trol)-377(arra)27(y)84(,)-389(as)]TJ 0 -11.955 Td [(c)28(hosen)-334(via)-333(the)]TJ/F45 9.9626 Tf 65.366 0 Td [(idx)]TJ/F15 9.9626 Tf 19.012 0 Td [(optional)-333(argumen)28(t.)]TJ /F15 9.9626 Tf 670.693 647.86 Td [(Set)-490(an)-490(en)28(try)-490(in)-490(the)-490(MUMPS)-489(in)28(tege)-1(r)-489(con)27(trol)]TJ 0 -11.955 Td [(arra)28(y)83(,)-261(as)-243(c)28(hosen)-243(via)-243(the)]TJ/F45 9.9626 Tf 101.278 0 Td [(idx)]TJ/F15 9.9626 Tf 18.111 0 Td [(optional)-243(argumen)28(t.)]TJ
ET ET
q q
1 0 0 1 877.931 620.363 cm 1 0 0 1 877.931 632.318 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S []0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q Q
q q
1 0 0 1 300.894 620.164 cm 1 0 0 1 300.894 608.408 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q
BT
/F45 9.9626 Tf 306.872 623.95 Td [('MUMPS_RPAR_ENTRY')]TJ
ET
q
1 0 0 1 397.889 608.408 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q
BT
/F45 9.9626 Tf 403.866 623.95 Td [(real)]TJ
ET
q
1 0 0 1 507.577 608.408 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q
BT
/F15 9.9626 Tf 513.555 623.95 Td [(An)28(y)-722(real)-722(n)28(um-)]TJ 0 -11.956 Td [(b)-28(er)]TJ
ET
q
1 0 0 1 590.399 608.408 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q
BT
/F15 9.9626 Tf 596.376 623.95 Td [(0)]TJ
ET
q
1 0 0 1 664.716 608.408 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q
BT
/F15 9.9626 Tf 670.693 623.95 Td [(Set)-289(an)-289(en)28(try)-289(in)-289(the)-289(MUMPS)-289(real)-289(con)27(trol)-289(arra)28(y)83(,)]TJ 0 -11.956 Td [(as)-333(c)27(hosen)-333(via)-333(the)]TJ/F45 9.9626 Tf 77.598 0 Td [(idx)]TJ/F15 9.9626 Tf 19.012 0 Td [(optional)-333(argumen)28(t.)]TJ
ET
q
1 0 0 1 877.931 608.408 cm
[]0 d 0 J 0.398 w 0 0 m 0 23.91 l S
Q
q
1 0 0 1 300.894 608.209 cm
[]0 d 0 J 0.398 w 0 0 m 577.037 0 l S []0 d 0 J 0.398 w 0 0 m 577.037 0 l S
Q Q
0 g 0 G 0 g 0 G
BT BT
/F15 10.9091 Tf 348.852 588.869 Td [(T)83(able)-333(8:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(smo)-27(other)-334(or)-333(the)-333(details)-334(of)-333(the)-333(one-lev)28(e)-1(l)-333(preconditioner)-333(\050con)28(tin)28(ued\051.)]TJ /F15 10.9091 Tf 348.852 576.913 Td [(T)83(able)-333(8:)-444(P)27(arameters)-333(de\014ning)-333(the)-334(smo)-27(other)-334(or)-333(the)-333(details)-334(of)-333(the)-333(one-lev)28(e)-1(l)-333(preconditioner)-333(\050con)28(tin)28(ued\051.)]TJ
0 g 0 G 0 g 0 G
0 g 0 G 0 g 0 G
ET ET
@ -6612,20 +6651,20 @@ endobj
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@ -621,7 +621,12 @@ level (continued).\label{tab:p_coarse_1}}
\verb|'MUMPS_IPAR_ENTRY'| & \verb|integer| \verb|'MUMPS_IPAR_ENTRY'| & \verb|integer|
& Any integer number & Any integer number
& 0 & 0
& Set an entry in the MUMPS control array, as & Set an entry in the MUMPS integer control array, as
chosen via the \verb|idx| optional argument. \\ %\hline
\verb|'MUMPS_RPAR_ENTRY'| & \verb|real|
& Any real number
& 0
& Set an entry in the MUMPS real control array, as
chosen via the \verb|idx| optional argument. \\ %\hline chosen via the \verb|idx| optional argument. \\ %\hline
%\verb|mld_sub_ren_| \par \verb|SUB_REN| & \verb|character(len=*)| %\verb|mld_sub_ren_| \par \verb|SUB_REN| & \verb|character(len=*)|
% & \texttt{'RENUM\_NONE'} \texttt{'RENUM\_GLOBAL'} %, \texttt{'RENUM_GPS'} % & \texttt{'RENUM\_NONE'} \texttt{'RENUM\_GLOBAL'} %, \texttt{'RENUM_GPS'}

@ -192,8 +192,11 @@ contains
deallocate(sv%id, sv%icntl, sv%rcntl) deallocate(sv%id, sv%icntl, sv%rcntl)
if (allocated(sv%local_ictxt)) then if (allocated(sv%local_ictxt)) then
call psb_exit(sv%local_ictxt,close=.false.) call psb_exit(sv%local_ictxt,close=.false.)
deallocate(sv%local_ictxt) deallocate(sv%local_ictxt,stat=info)
end if end if
if (allocated(sv%icntl)) deallocate(sv%icntl,stat=info)
if (allocated(sv%rcntl)) deallocate(sv%rcntl,stat=info)
sv%built=.false. sv%built=.false.
end if end if
call psb_erractionrestore(err_act) call psb_erractionrestore(err_act)
@ -266,7 +269,7 @@ contains
end subroutine c_mumps_solver_descr end subroutine c_mumps_solver_descr
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! WARNING: OTHERS PARAMETERS OF MUMPS COULD BE ADDED. !! !! WARNING: OTHER PARAMETERS OF MUMPS COULD BE ADDED. !!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@ -294,6 +297,7 @@ contains
sv%ipar(2)=val sv%ipar(2)=val
case('MUMPS_IPAR_ENTRY') case('MUMPS_IPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%icntl(idx)%item = val sv%icntl(idx)%item = val
end if end if
#endif #endif
@ -333,6 +337,7 @@ contains
#if defined(HAVE_MUMPS_) #if defined(HAVE_MUMPS_)
case('MUMPS_RPAR_ENTRY') case('MUMPS_RPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%rcntl(idx)%item = val sv%rcntl(idx)%item = val
end if end if
#endif #endif

@ -192,8 +192,11 @@ contains
deallocate(sv%id, sv%icntl, sv%rcntl) deallocate(sv%id, sv%icntl, sv%rcntl)
if (allocated(sv%local_ictxt)) then if (allocated(sv%local_ictxt)) then
call psb_exit(sv%local_ictxt,close=.false.) call psb_exit(sv%local_ictxt,close=.false.)
deallocate(sv%local_ictxt) deallocate(sv%local_ictxt,stat=info)
end if end if
if (allocated(sv%icntl)) deallocate(sv%icntl,stat=info)
if (allocated(sv%rcntl)) deallocate(sv%rcntl,stat=info)
sv%built=.false. sv%built=.false.
end if end if
call psb_erractionrestore(err_act) call psb_erractionrestore(err_act)
@ -266,7 +269,7 @@ contains
end subroutine d_mumps_solver_descr end subroutine d_mumps_solver_descr
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! WARNING: OTHERS PARAMETERS OF MUMPS COULD BE ADDED. !! !! WARNING: OTHER PARAMETERS OF MUMPS COULD BE ADDED. !!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@ -294,6 +297,7 @@ contains
sv%ipar(2)=val sv%ipar(2)=val
case('MUMPS_IPAR_ENTRY') case('MUMPS_IPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%icntl(idx)%item = val sv%icntl(idx)%item = val
end if end if
#endif #endif
@ -333,6 +337,7 @@ contains
#if defined(HAVE_MUMPS_) #if defined(HAVE_MUMPS_)
case('MUMPS_RPAR_ENTRY') case('MUMPS_RPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%rcntl(idx)%item = val sv%rcntl(idx)%item = val
end if end if
#endif #endif

@ -192,8 +192,11 @@ contains
deallocate(sv%id, sv%icntl, sv%rcntl) deallocate(sv%id, sv%icntl, sv%rcntl)
if (allocated(sv%local_ictxt)) then if (allocated(sv%local_ictxt)) then
call psb_exit(sv%local_ictxt,close=.false.) call psb_exit(sv%local_ictxt,close=.false.)
deallocate(sv%local_ictxt) deallocate(sv%local_ictxt,stat=info)
end if end if
if (allocated(sv%icntl)) deallocate(sv%icntl,stat=info)
if (allocated(sv%rcntl)) deallocate(sv%rcntl,stat=info)
sv%built=.false. sv%built=.false.
end if end if
call psb_erractionrestore(err_act) call psb_erractionrestore(err_act)
@ -266,7 +269,7 @@ contains
end subroutine s_mumps_solver_descr end subroutine s_mumps_solver_descr
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! WARNING: OTHERS PARAMETERS OF MUMPS COULD BE ADDED. !! !! WARNING: OTHER PARAMETERS OF MUMPS COULD BE ADDED. !!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@ -294,6 +297,7 @@ contains
sv%ipar(2)=val sv%ipar(2)=val
case('MUMPS_IPAR_ENTRY') case('MUMPS_IPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%icntl(idx)%item = val sv%icntl(idx)%item = val
end if end if
#endif #endif
@ -333,6 +337,7 @@ contains
#if defined(HAVE_MUMPS_) #if defined(HAVE_MUMPS_)
case('MUMPS_RPAR_ENTRY') case('MUMPS_RPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%rcntl(idx)%item = val sv%rcntl(idx)%item = val
end if end if
#endif #endif

@ -192,8 +192,11 @@ contains
deallocate(sv%id, sv%icntl, sv%rcntl) deallocate(sv%id, sv%icntl, sv%rcntl)
if (allocated(sv%local_ictxt)) then if (allocated(sv%local_ictxt)) then
call psb_exit(sv%local_ictxt,close=.false.) call psb_exit(sv%local_ictxt,close=.false.)
deallocate(sv%local_ictxt) deallocate(sv%local_ictxt,stat=info)
end if end if
if (allocated(sv%icntl)) deallocate(sv%icntl,stat=info)
if (allocated(sv%rcntl)) deallocate(sv%rcntl,stat=info)
sv%built=.false. sv%built=.false.
end if end if
call psb_erractionrestore(err_act) call psb_erractionrestore(err_act)
@ -266,7 +269,7 @@ contains
end subroutine z_mumps_solver_descr end subroutine z_mumps_solver_descr
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!! WARNING: OTHERS PARAMETERS OF MUMPS COULD BE ADDED. !! !! WARNING: OTHER PARAMETERS OF MUMPS COULD BE ADDED. !!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
@ -294,6 +297,7 @@ contains
sv%ipar(2)=val sv%ipar(2)=val
case('MUMPS_IPAR_ENTRY') case('MUMPS_IPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%icntl(idx)%item = val sv%icntl(idx)%item = val
end if end if
#endif #endif
@ -333,6 +337,7 @@ contains
#if defined(HAVE_MUMPS_) #if defined(HAVE_MUMPS_)
case('MUMPS_RPAR_ENTRY') case('MUMPS_RPAR_ENTRY')
if(present(idx)) then if(present(idx)) then
! Note: this will allocate %item
sv%rcntl(idx)%item = val sv%rcntl(idx)%item = val
end if end if
#endif #endif

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