fdurastante/psblas3
1
0
Fork 0
mirror of https://github.com/sfilippone/psblas3.git synced 2026-10-06 22:55:08 +00:00
Code Issues Packages Projects Releases Wiki Activity

psblas3:

Browse Source 
Updated docs.
This commit is contained in:
Salvatore Filippone
2017-02-12 18:19:15 +00:00
parent 9ab0539881
commit 001aa819fa
147 changed files with 22648 additions and 22177 deletions
Download Patch File Download Diff File Expand all files Collapse all files
docs/html/node60.html
+82 -82
View File
@@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds
Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
<HTML>
<HEAD>
<TITLE>psb_normi -- Infinity Norm of Sparse Matrix</TITLE>
<META NAME="description" CONTENT="psb_normi -- Infinity 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">
@@ -20,102 +20,102 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<LINK REL="next" HREF="node61.html">
<LINK REL="previous" HREF="node59.html">
<LINK REL="up" HREF="node49.html">
<LINK REL="up" HREF="node51.html">
<LINK REL="next" HREF="node61.html">
</HEAD>
<BODY >
<!--Navigation Panel-->
<A NAME="tex2html983"
<A NAME="tex2html989"
HREF="node61.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html979"
HREF="node49.html">
<A NAME="tex2html985"
HREF="node51.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html973"
<A NAME="tex2html979"
HREF="node59.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html981"
<A NAME="tex2html987"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html984"
HREF="node61.html">psb_spmm Sparse</A>
<B> Up:</B> <A NAME="tex2html980"
HREF="node49.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html974"
HREF="node59.html">psb_norm1 1-Norm</A>
&nbsp; <B> <A NAME="tex2html982"
<B> Next:</B> <A NAME="tex2html990"
HREF="node61.html">psb_norm1 1-Norm</A>
<B> Up:</B> <A NAME="tex2html986"
HREF="node51.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html980"
HREF="node59.html">psb_norm2 2-Norm</A>
&nbsp; <B> <A NAME="tex2html988"
HREF="node1.html">Contents</A></B>
<BR>
<BR>
<!--End of Navigation Panel-->
<H2><A NAME="SECTION000511000000000000000">
psb_normi -- Infinity Norm of Sparse Matrix</A>
<H2><A NAME="SECTION00059000000000000000">
psb_genrm2s -- Generalized 2-Norm of Vector</A>
</H2>
<P>
This function computes the infinity-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 <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
nrmi \leftarrow \|A\|_\infty
res(i) \leftarrow \|x(:,i)\|_2
\end{displaymath}
-->
<IMG
WIDTH="102" HEIGHT="28" BORDER="0"
SRC="img43.png"
ALT="\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \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="1871"></A>
<DIV ALIGN="CENTER"><A NAME="1951"></A>
<TABLE>
<CAPTION><STRONG>Table 11:</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>
WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img28.png"
ALT="$res$"></TD>
<TD ALIGN="LEFT"><IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"></TD>
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_spnrmi</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_spnrmi</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_spnrmi</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_spnrmi</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 +124,6 @@ Data types</CAPTION>
</DIV><P></P>
<BR>
<P>
<PRE>
psb_spnrmi(A, desc_a, info)
psb_normi(A, desc_a, info)
</PRE>
<P>
<DL>
<DT><STRONG>Type:</STRONG></DT>
@@ -138,20 +132,22 @@ psb_normi(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
<DT><STRONG>x</STRONG></DT>
<DD>the local portion of global dense matrix
<IMG
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img1.png"
ALT="$A$">.
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<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&nbsp;<A HREF="#tab:f90nrm2s">9</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -163,19 +159,23 @@ 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 infinity-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) <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<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.
@@ -193,26 +193,26 @@ An integer value; 0 means no error has been detected.
<P>
<HR>
<!--Navigation Panel-->
<A NAME="tex2html983"
<A NAME="tex2html989"
HREF="node61.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html979"
HREF="node49.html">
<A NAME="tex2html985"
HREF="node51.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html973"
<A NAME="tex2html979"
HREF="node59.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html981"
<A NAME="tex2html987"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html984"
HREF="node61.html">psb_spmm Sparse</A>
<B> Up:</B> <A NAME="tex2html980"
HREF="node49.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html974"
HREF="node59.html">psb_norm1 1-Norm</A>
&nbsp; <B> <A NAME="tex2html982"
<B> Next:</B> <A NAME="tex2html990"
HREF="node61.html">psb_norm1 1-Norm</A>
<B> Up:</B> <A NAME="tex2html986"
HREF="node51.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html980"
HREF="node59.html">psb_norm2 2-Norm</A>
&nbsp; <B> <A NAME="tex2html988"
HREF="node1.html">Contents</A></B>
<!--End of Navigation Panel-->