mirror of
https://github.com/sfilippone/psblas3.git
synced 2026-10-07 15:14:57 +00:00
Document DESC%CNV method and MOLD arguments to CDASB and PREC%BUILD
This commit is contained in:
Salvatore Filippone
+95
-96
@@ -1,121 +1,118 @@
|
||||
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
|
||||
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//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 -->
|
||||
<!--Converted with LaTeX2HTML 2017.2 (Released Jan 23, 2017) -->
|
||||
<HTML>
|
||||
<HEAD>
|
||||
<TITLE>psb_norm1 -- 1-Norm of Sparse Matrix</TITLE>
|
||||
<META NAME="description" CONTENT="psb_norm1 -- 1-Norm of Sparse Matrix">
|
||||
<TITLE>psb_genrm2s -- Generalized 2-Norm of Vector</TITLE>
|
||||
<META NAME="description" CONTENT="psb_genrm2s -- Generalized 2-Norm of Vector">
|
||||
<META NAME="keywords" CONTENT="userhtml">
|
||||
<META NAME="resource-type" CONTENT="document">
|
||||
<META NAME="distribution" CONTENT="global">
|
||||
|
||||
<META NAME="Generator" CONTENT="LaTeX2HTML v2012">
|
||||
<META NAME="Generator" CONTENT="LaTeX2HTML v2017.2">
|
||||
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
|
||||
|
||||
<LINK REL="STYLESHEET" HREF="userhtml.css">
|
||||
|
||||
<LINK REL="next" HREF="node62.html">
|
||||
<LINK REL="previous" HREF="node60.html">
|
||||
<LINK REL="up" HREF="node51.html">
|
||||
<LINK REL="up" HREF="node52.html">
|
||||
<LINK REL="next" HREF="node62.html">
|
||||
</HEAD>
|
||||
|
||||
<BODY >
|
||||
<!--Navigation Panel-->
|
||||
<A NAME="tex2html1003"
|
||||
|
||||
<DIV CLASS="navigation"><!--Navigation Panel-->
|
||||
<A NAME="tex2html1006"
|
||||
HREF="node62.html">
|
||||
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
||||
<A NAME="tex2html999"
|
||||
HREF="node51.html">
|
||||
<A NAME="tex2html1002"
|
||||
HREF="node52.html">
|
||||
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
||||
<A NAME="tex2html993"
|
||||
<A NAME="tex2html996"
|
||||
HREF="node60.html">
|
||||
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
||||
<A NAME="tex2html1001"
|
||||
<A NAME="tex2html1004"
|
||||
HREF="node1.html">
|
||||
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
||||
<BR>
|
||||
<B> Next:</B> <A NAME="tex2html1004"
|
||||
HREF="node62.html">psb_normi Infinity</A>
|
||||
<B> Up:</B> <A NAME="tex2html1000"
|
||||
HREF="node51.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html994"
|
||||
HREF="node60.html">psb_genrm2s Generalized</A>
|
||||
<B> <A NAME="tex2html1002"
|
||||
<B> Next:</B> <A NAME="tex2html1007"
|
||||
HREF="node62.html">psb_norm1 1-Norm</A>
|
||||
<B> Up:</B> <A NAME="tex2html1003"
|
||||
HREF="node52.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html997"
|
||||
HREF="node60.html">psb_norm2 2-Norm</A>
|
||||
<B> <A NAME="tex2html1005"
|
||||
HREF="node1.html">Contents</A></B>
|
||||
<BR>
|
||||
<BR>
|
||||
<BR></DIV>
|
||||
<!--End of Navigation Panel-->
|
||||
|
||||
<H2><A NAME="SECTION000510000000000000000">
|
||||
psb_norm1 -- 1-Norm of Sparse Matrix</A>
|
||||
<H2><A NAME="SECTION00059000000000000000">
|
||||
psb_genrm2s -- Generalized 2-Norm of Vector</A>
|
||||
</H2>
|
||||
|
||||
<P>
|
||||
This function computes the 1-norm of a matrix <IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$">:
|
||||
<BR>
|
||||
<P>
|
||||
This subroutine computes a series of 2-norms on the columns of
|
||||
a dense matrix <SPAN CLASS="MATH"><IMG
|
||||
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"></SPAN>:
|
||||
<BR><P></P>
|
||||
<DIV ALIGN="CENTER">
|
||||
<DIV ALIGN="CENTER" CLASS="mathdisplay">
|
||||
<!-- MATH
|
||||
\begin{displaymath}
|
||||
nrm1 \leftarrow \|A\|_1
|
||||
res(i) \leftarrow \|x(:,i)\|_2
|
||||
\end{displaymath}
|
||||
-->
|
||||
|
||||
<IMG
|
||||
WIDTH="98" HEIGHT="28" BORDER="0"
|
||||
SRC="img42.png"
|
||||
ALT="\begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}">
|
||||
WIDTH="126" HEIGHT="28" BORDER="0"
|
||||
SRC="img41.png"
|
||||
ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
|
||||
</DIV>
|
||||
<BR CLEAR="ALL">
|
||||
<P></P>
|
||||
where:
|
||||
<DL>
|
||||
<DT><STRONG><IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$"></STRONG></DT>
|
||||
<DD>represents the global matrix <IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$">
|
||||
</DD>
|
||||
</DL>
|
||||
|
||||
<P>
|
||||
<PRE>
|
||||
call psb_genrm2s(res, x, desc_a, info)
|
||||
</PRE>
|
||||
|
||||
<P>
|
||||
<BR><P></P>
|
||||
<DIV ALIGN="CENTER"><A NAME="1957"></A>
|
||||
<DIV ALIGN="CENTER"><A NAME="1985"></A>
|
||||
<TABLE>
|
||||
<CAPTION><STRONG>Table 10:</STRONG>
|
||||
<CAPTION><STRONG>Table 9:</STRONG>
|
||||
Data types</CAPTION>
|
||||
<TR><TD>
|
||||
<DIV ALIGN="CENTER">
|
||||
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
|
||||
<TR><TD ALIGN="LEFT"><IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$"></TD>
|
||||
<TD ALIGN="LEFT"><B>Function</B></TD>
|
||||
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
|
||||
WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img28.png"
|
||||
ALT="$res$"></SPAN></TD>
|
||||
<TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
|
||||
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"></SPAN></TD>
|
||||
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
|
||||
</TR>
|
||||
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
|
||||
<TD ALIGN="LEFT">psb_spnrm1</TD>
|
||||
<TD ALIGN="LEFT">Short Precision Real</TD>
|
||||
<TD ALIGN="LEFT">psb_genrm2s</TD>
|
||||
</TR>
|
||||
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
|
||||
<TD ALIGN="LEFT">psb_spnrm1</TD>
|
||||
<TD ALIGN="LEFT">Long Precision Real</TD>
|
||||
<TD ALIGN="LEFT">psb_genrm2s</TD>
|
||||
</TR>
|
||||
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
|
||||
<TD ALIGN="LEFT">psb_spnrm1</TD>
|
||||
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
|
||||
<TD ALIGN="LEFT">Short Precision Complex</TD>
|
||||
<TD ALIGN="LEFT">psb_genrm2s</TD>
|
||||
</TR>
|
||||
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
|
||||
<TD ALIGN="LEFT">psb_spnrm1</TD>
|
||||
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
|
||||
<TD ALIGN="LEFT">Long Precision Complex</TD>
|
||||
<TD ALIGN="LEFT">psb_genrm2s</TD>
|
||||
</TR>
|
||||
</TABLE>
|
||||
</DIV>
|
||||
@@ -124,12 +121,6 @@ Data types</CAPTION>
|
||||
</DIV><P></P>
|
||||
<BR>
|
||||
|
||||
<P>
|
||||
<PRE>
|
||||
psb_spnrm1(A, desc_a, info)
|
||||
psb_norm1(A, desc_a, info)
|
||||
</PRE>
|
||||
|
||||
<P>
|
||||
<DL>
|
||||
<DT><STRONG>Type:</STRONG></DT>
|
||||
@@ -138,20 +129,23 @@ psb_norm1(A, desc_a, info)
|
||||
<DT><STRONG><B>On Entry</B></STRONG></DT>
|
||||
<DD>
|
||||
</DD>
|
||||
<DT><STRONG>a</STRONG></DT>
|
||||
<DD>the local portion of the global sparse matrix
|
||||
<IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$">.
|
||||
<DT><STRONG>x</STRONG></DT>
|
||||
<DD>the local portion of global dense matrix
|
||||
<SPAN CLASS="MATH"><IMG
|
||||
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"></SPAN>.
|
||||
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>required</B>
|
||||
Type: <B>required</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
|
||||
Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
|
||||
containing numbers of type specified in
|
||||
Table <A HREF="#tab:f90nrm2s">9</A>.
|
||||
</DD>
|
||||
<DT><STRONG>desc_a</STRONG></DT>
|
||||
<DD>contains data structures for communications.
|
||||
@@ -163,19 +157,23 @@ Type: <B>required</B>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
|
||||
|
||||
<P>
|
||||
</DD>
|
||||
<DT><STRONG><B>On Return</B></STRONG></DT>
|
||||
<DD>
|
||||
</DD>
|
||||
<DT><STRONG>Function value</STRONG></DT>
|
||||
<DD>is the 1-norm of sparse submatrix <IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$">.
|
||||
<DT><STRONG>res</STRONG></DT>
|
||||
<DD>contains the 1-norm of (the columns of) <SPAN CLASS="MATH"><IMG
|
||||
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"></SPAN>.
|
||||
<BR>
|
||||
Scope: <B>global</B>
|
||||
<BR>
|
||||
Specified as: a long precision real number.
|
||||
Intent: <B>out</B>.
|
||||
<BR>
|
||||
Specified as: a long precision real number.
|
||||
</DD>
|
||||
<DT><STRONG>info</STRONG></DT>
|
||||
<DD>Error code.
|
||||
@@ -191,29 +189,30 @@ An integer value; 0 means no error has been detected.
|
||||
</DL>
|
||||
|
||||
<P>
|
||||
<HR>
|
||||
|
||||
<DIV CLASS="navigation"><HR>
|
||||
<!--Navigation Panel-->
|
||||
<A NAME="tex2html1003"
|
||||
<A NAME="tex2html1006"
|
||||
HREF="node62.html">
|
||||
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
||||
<A NAME="tex2html999"
|
||||
HREF="node51.html">
|
||||
<A NAME="tex2html1002"
|
||||
HREF="node52.html">
|
||||
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
||||
<A NAME="tex2html993"
|
||||
<A NAME="tex2html996"
|
||||
HREF="node60.html">
|
||||
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
||||
<A NAME="tex2html1001"
|
||||
<A NAME="tex2html1004"
|
||||
HREF="node1.html">
|
||||
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
||||
<BR>
|
||||
<B> Next:</B> <A NAME="tex2html1004"
|
||||
HREF="node62.html">psb_normi Infinity</A>
|
||||
<B> Up:</B> <A NAME="tex2html1000"
|
||||
HREF="node51.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html994"
|
||||
HREF="node60.html">psb_genrm2s Generalized</A>
|
||||
<B> <A NAME="tex2html1002"
|
||||
HREF="node1.html">Contents</A></B>
|
||||
<B> Next:</B> <A NAME="tex2html1007"
|
||||
HREF="node62.html">psb_norm1 1-Norm</A>
|
||||
<B> Up:</B> <A NAME="tex2html1003"
|
||||
HREF="node52.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html997"
|
||||
HREF="node60.html">psb_norm2 2-Norm</A>
|
||||
<B> <A NAME="tex2html1005"
|
||||
HREF="node1.html">Contents</A></B> </DIV>
|
||||
<!--End of Navigation Panel-->
|
||||
|
||||
</BODY>
|
||||
|
||||
Reference in New Issue
Block a user