|
|
|
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
|
|
|
|
|
|
|
|
|
|
<!--Converted with LaTeX2HTML 2012 (1.2)
|
|
|
|
|
original version by: Nikos Drakos, CBLU, University of Leeds
|
|
|
|
|
* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
|
|
|
|
|
* with significant contributions from:
|
|
|
|
|
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
|
|
|
|
|
<HTML>
|
|
|
|
|
<HEAD>
|
|
|
|
|
<TITLE>Subroutine mld_precaply</TITLE>
|
|
|
|
|
<META NAME="description" CONTENT="Subroutine mld_precaply">
|
|
|
|
|
<META NAME="keywords" CONTENT="userhtml">
|
|
|
|
|
<META NAME="resource-type" CONTENT="document">
|
|
|
|
|
<META NAME="distribution" CONTENT="global">
|
|
|
|
|
|
|
|
|
|
<META NAME="Generator" CONTENT="LaTeX2HTML v2012">
|
|
|
|
|
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
|
|
|
|
|
|
|
|
|
|
<LINK REL="STYLESHEET" HREF="userhtml.css">
|
|
|
|
|
|
|
|
|
|
<LINK REL="next" HREF="node23.html">
|
|
|
|
|
<LINK REL="previous" HREF="node21.html">
|
|
|
|
|
<LINK REL="up" HREF="node16.html">
|
|
|
|
|
<LINK REL="next" HREF="node23.html">
|
|
|
|
|
</HEAD>
|
|
|
|
|
|
|
|
|
|
<BODY >
|
|
|
|
|
<!--Navigation Panel-->
|
|
|
|
|
<A NAME="tex2html340"
|
|
|
|
|
HREF="node23.html">
|
|
|
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
|
|
|
<A NAME="tex2html336"
|
|
|
|
|
HREF="node16.html">
|
|
|
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
|
|
|
<A NAME="tex2html330"
|
|
|
|
|
HREF="node21.html">
|
|
|
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
|
|
|
<A NAME="tex2html338"
|
|
|
|
|
HREF="node2.html">
|
|
|
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
|
|
|
<BR>
|
|
|
|
|
<B> Next:</B> <A NAME="tex2html341"
|
|
|
|
|
HREF="node23.html">Subroutine mld_precfree</A>
|
|
|
|
|
<B> Up:</B> <A NAME="tex2html337"
|
|
|
|
|
HREF="node16.html">User Interface</A>
|
|
|
|
|
<B> Previous:</B> <A NAME="tex2html331"
|
|
|
|
|
HREF="node21.html">Subroutine mld_smoothers_bld</A>
|
|
|
|
|
<B> <A NAME="tex2html339"
|
|
|
|
|
HREF="node2.html">Contents</A></B>
|
|
|
|
|
<BR>
|
|
|
|
|
<BR>
|
|
|
|
|
<!--End of Navigation Panel-->
|
|
|
|
|
|
|
|
|
|
<H2><A NAME="SECTION00086000000000000000"></A><A NAME="sec:precaply"></A>
|
|
|
|
|
<BR>
|
|
|
|
|
Subroutine mld_precaply
|
|
|
|
|
</H2>
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
<DIV ALIGN="CENTER">
|
|
|
|
|
<code>mld_precaply(p,x,y,desc_a,info)</code>
|
|
|
|
|
<BR><code>mld_precaply(p,x,y,desc_a,info,trans,work)</code>
|
|
|
|
|
<BR>
|
|
|
|
|
</DIV>
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
This routine computes <!-- MATH
|
|
|
|
|
$y = op(M^{-1})\, x$
|
|
|
|
|
-->
|
|
|
|
|
<IMG
|
|
|
|
|
WIDTH="118" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img101.png"
|
|
|
|
|
ALT="$y = op(M^{-1}) x$">, where <IMG
|
|
|
|
|
WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
|
SRC="img60.png"
|
|
|
|
|
ALT="$M$"> is a previously built
|
|
|
|
|
preconditioner, stored into <code>p</code>, and <IMG
|
|
|
|
|
WIDTH="21" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img102.png"
|
|
|
|
|
ALT="$op$">
|
|
|
|
|
denotes the preconditioner itself or its transpose, according to
|
|
|
|
|
the value of <code>trans</code>.
|
|
|
|
|
Note that, when MLD2P4 is used with a Krylov solver from PSBLAS,
|
|
|
|
|
<code>mld_precaply</code> is called within the PSBLAS routine <code>psb_krylov</code>
|
|
|
|
|
and hence it is completely transparent to the user.
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
<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><I>x</I><code>prec_type), intent(inout)</code>.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The preconditioner data structure, containing the local part of <IMG
|
|
|
|
|
WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
|
SRC="img60.png"
|
|
|
|
|
ALT="$M$">.
|
|
|
|
|
Note that <I>x</I> must be chosen according
|
|
|
|
|
to the real/complex, single/double precision version of MLD2P4 under use.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>x</code></TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><I>type</I><code>(</code><I>kind_parameter</I><code>), dimension(:), intent(in)</code>.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The local part of the vector <IMG
|
|
|
|
|
WIDTH="15" HEIGHT="18" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
|
SRC="img103.png"
|
|
|
|
|
ALT="$x$">. Note that <I>type</I> and
|
|
|
|
|
<I>kind_parameter</I> must be chosen according
|
|
|
|
|
to the real/complex, single/double precision version of MLD2P4 under use.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>y</code></TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><I>type</I><code>(</code><I>kind_parameter</I><code>), dimension(:), intent(out)</code>.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The local part of the vector <IMG
|
|
|
|
|
WIDTH="13" HEIGHT="31" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img104.png"
|
|
|
|
|
ALT="$y$">. Note that <I>type</I> and
|
|
|
|
|
<I>kind_parameter</I> must be chosen according
|
|
|
|
|
to the real/complex, single/double precision version of MLD2P4 under use.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>desc_a</code></TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>type(psb_desc_type), intent(in)</code>.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>The communication descriptor associated to the matrix to be
|
|
|
|
|
preconditioned.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>info</code></TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>integer, intent(out)</code>.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>Error code. If no error, 0 is returned. See Section <A HREF="node25.html#sec:errors">7</A> for details.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>trans</code></TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><code>character(len=1), optional, intent(in).</code></TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>If <code>trans</code> = <code>'N','n'</code> then <!-- MATH
|
|
|
|
|
$op(M^{-1}) = M^{-1}$
|
|
|
|
|
-->
|
|
|
|
|
<IMG
|
|
|
|
|
WIDTH="132" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img105.png"
|
|
|
|
|
ALT="$op(M^{-1}) = M^{-1}$">;
|
|
|
|
|
if <code>trans</code> = <code>'T','t'</code> then <!-- MATH
|
|
|
|
|
$op(M^{-1}) = M^{-T}$
|
|
|
|
|
-->
|
|
|
|
|
<IMG
|
|
|
|
|
WIDTH="135" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img106.png"
|
|
|
|
|
ALT="$op(M^{-1}) = M^{-T}$">
|
|
|
|
|
(transpose of <IMG
|
|
|
|
|
WIDTH="48" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img107.png"
|
|
|
|
|
ALT="$M^{-1})$">; if <code>trans</code> = <code>'C','c'</code> then <!-- MATH
|
|
|
|
|
$op(M^{-1}) = M^{-C}$
|
|
|
|
|
-->
|
|
|
|
|
<IMG
|
|
|
|
|
WIDTH="136" HEIGHT="40" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img108.png"
|
|
|
|
|
ALT="$op(M^{-1}) = M^{-C}$">
|
|
|
|
|
(conjugate transpose of <IMG
|
|
|
|
|
WIDTH="48" HEIGHT="39" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
|
SRC="img107.png"
|
|
|
|
|
ALT="$M^{-1})$">.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34><code>work</code></TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340><I>type</I><code>(</code><I>kind_parameter</I><code>), dimension(:), optional, target</code>.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
<TR><TD ALIGN="LEFT" VALIGN="TOP" WIDTH=34> </TD>
|
|
|
|
|
<TD ALIGN="LEFT" VALIGN="TOP" WIDTH=340>Workspace. Its size should be at
|
|
|
|
|
least <code>4 * psb_cd_get_local_</code> <code>cols(desc_a)</code> (see the PSBLAS User's Guide).
|
|
|
|
|
Note that <I>type</I> and <I>kind_parameter</I> must be chosen according
|
|
|
|
|
to the real/complex, single/double precision version of MLD2P4 under use.</TD>
|
|
|
|
|
</TR>
|
|
|
|
|
</TABLE>
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
<HR>
|
|
|
|
|
<!--Navigation Panel-->
|
|
|
|
|
<A NAME="tex2html340"
|
|
|
|
|
HREF="node23.html">
|
|
|
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
|
|
|
<A NAME="tex2html336"
|
|
|
|
|
HREF="node16.html">
|
|
|
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
|
|
|
<A NAME="tex2html330"
|
|
|
|
|
HREF="node21.html">
|
|
|
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
|
|
|
<A NAME="tex2html338"
|
|
|
|
|
HREF="node2.html">
|
|
|
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
|
|
|
<BR>
|
|
|
|
|
<B> Next:</B> <A NAME="tex2html341"
|
|
|
|
|
HREF="node23.html">Subroutine mld_precfree</A>
|
|
|
|
|
<B> Up:</B> <A NAME="tex2html337"
|
|
|
|
|
HREF="node16.html">User Interface</A>
|
|
|
|
|
<B> Previous:</B> <A NAME="tex2html331"
|
|
|
|
|
HREF="node21.html">Subroutine mld_smoothers_bld</A>
|
|
|
|
|
<B> <A NAME="tex2html339"
|
|
|
|
|
HREF="node2.html">Contents</A></B>
|
|
|
|
|
<!--End of Navigation Panel-->
|
|
|
|
|
|
|
|
|
|
</BODY>
|
|
|
|
|
</HTML>
|
