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/node58.html
+87 -42
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_genrm2s -- Generalized 2-Norm of Vector</TITLE>
<META NAME="description" CONTENT="psb_genrm2s -- Generalized 2-Norm of Vector">
<TITLE>psb_geasums -- Generalized 1-Norm of Vector</TITLE>
<META NAME="description" CONTENT="psb_geasums -- Generalized 1-Norm of Vector">
<META NAME="keywords" CONTENT="userhtml">
<META NAME="resource-type" CONTENT="document">
<META NAME="distribution" CONTENT="global">
@@ -20,43 +20,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<LINK REL="next" HREF="node59.html">
<LINK REL="previous" HREF="node57.html">
<LINK REL="up" HREF="node49.html">
<LINK REL="up" HREF="node51.html">
<LINK REL="next" HREF="node59.html">
</HEAD>
<BODY >
<!--Navigation Panel-->
<A NAME="tex2html959"
<A NAME="tex2html965"
HREF="node59.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html955"
HREF="node49.html">
<A NAME="tex2html961"
HREF="node51.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html949"
<A NAME="tex2html955"
HREF="node57.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html957"
<A NAME="tex2html963"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html960"
HREF="node59.html">psb_norm1 1-Norm</A>
<B> Up:</B> <A NAME="tex2html956"
HREF="node49.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html950"
HREF="node57.html">psb_norm2 2-Norm</A>
&nbsp; <B> <A NAME="tex2html958"
<B> Next:</B> <A NAME="tex2html966"
HREF="node59.html">psb_norm2 2-Norm</A>
<B> Up:</B> <A NAME="tex2html962"
HREF="node51.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html956"
HREF="node57.html">psb_norm1 1-Norm</A>
&nbsp; <B> <A NAME="tex2html964"
HREF="node1.html">Contents</A></B>
<BR>
<BR>
<!--End of Navigation Panel-->
<H2><A NAME="SECTION00059000000000000000">
psb_genrm2s -- Generalized 2-Norm of Vector</A>
<H2><A NAME="SECTION00057000000000000000">
psb_geasums -- Generalized 1-Norm of Vector</A>
</H2>
<P>
This subroutine computes a series of 2-norms on the columns of
This subroutine computes a series of 1-norms on the columns of
a dense matrix <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
@@ -65,28 +65,72 @@ a dense matrix <IMG
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
res(i) \leftarrow \|x(:,i)\|_2
res(i) \leftarrow \max_k |x(k,i)|
\end{displaymath}
-->
<IMG
WIDTH="126" HEIGHT="28" BORDER="0"
SRC="img41.png"
ALT="\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}">
WIDTH="148" HEIGHT="36" BORDER="0"
SRC="img32.png"
ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
This function computes the 1-norm of a vector <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$">.
<BR>
If <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> is a real vector
it computes 1-norm as:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
res(i) \leftarrow \|x_i\|
\end{displaymath}
-->
<IMG
WIDTH="94" HEIGHT="28" BORDER="0"
SRC="img36.png"
ALT="\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
else if <IMG
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
SRC="img20.png"
ALT="$x$"> is a complex vector then it computes 1-norm as:
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
\begin{displaymath}
res(i) \leftarrow \|re(x)\|_1 + \|im(x)\|_1
\end{displaymath}
-->
<IMG
WIDTH="207" HEIGHT="28" BORDER="0"
SRC="img37.png"
ALT="\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}">
</DIV>
<BR CLEAR="ALL">
<P></P>
<P>
<PRE>
call psb_genrm2s(res, x, desc_a, info)
call psb_geasums(res, x, desc_a, info)
</PRE>
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="1869"></A>
<DIV ALIGN="CENTER"><A NAME="1949"></A>
<TABLE>
<CAPTION><STRONG>Table 9:</STRONG>
<CAPTION><STRONG>Table 7:</STRONG>
Data types</CAPTION>
<TR><TD>
<DIV ALIGN="CENTER">
@@ -103,19 +147,19 @@ Data types</CAPTION>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
<TD ALIGN="LEFT">psb_geasums</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
<TD ALIGN="LEFT">psb_geasums</TD>
</TR>
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
<TD ALIGN="LEFT">Short Precision Complex</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
<TD ALIGN="LEFT">psb_geasums</TD>
</TR>
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
<TD ALIGN="LEFT">Long Precision Complex</TD>
<TD ALIGN="LEFT">psb_genrm2s</TD>
<TD ALIGN="LEFT">psb_geasums</TD>
</TR>
</TABLE>
</DIV>
@@ -147,7 +191,7 @@ Intent: <B>in</B>.
<BR>
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>.
Table&nbsp;<A HREF="#tab:f90asums">7</A>.
</DD>
<DT><STRONG>desc_a</STRONG></DT>
<DD>contains data structures for communications.
@@ -175,6 +219,7 @@ Scope: <B>global</B>
<BR>
Intent: <B>out</B>.
<BR>
Short as: a long precision real number.
Specified as: a long precision real number.
</DD>
<DT><STRONG>info</STRONG></DT>
@@ -193,26 +238,26 @@ An integer value; 0 means no error has been detected.
<P>
<HR>
<!--Navigation Panel-->
<A NAME="tex2html959"
<A NAME="tex2html965"
HREF="node59.html">
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
<A NAME="tex2html955"
HREF="node49.html">
<A NAME="tex2html961"
HREF="node51.html">
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
<A NAME="tex2html949"
<A NAME="tex2html955"
HREF="node57.html">
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
<A NAME="tex2html957"
<A NAME="tex2html963"
HREF="node1.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html960"
HREF="node59.html">psb_norm1 1-Norm</A>
<B> Up:</B> <A NAME="tex2html956"
HREF="node49.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html950"
HREF="node57.html">psb_norm2 2-Norm</A>
&nbsp; <B> <A NAME="tex2html958"
<B> Next:</B> <A NAME="tex2html966"
HREF="node59.html">psb_norm2 2-Norm</A>
<B> Up:</B> <A NAME="tex2html962"
HREF="node51.html">Computational routines</A>
<B> Previous:</B> <A NAME="tex2html956"
HREF="node57.html">psb_norm1 1-Norm</A>
&nbsp; <B> <A NAME="tex2html964"
HREF="node1.html">Contents</A></B>
<!--End of Navigation Panel-->