|
|
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
|
|
|
|
|
|
|
|
<!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) -->
|
|
|
|
<HTML>
|
|
|
|
<HEAD>
|
|
|
|
<TITLE>psb_geaxpby -- General Dense Matrix Sum</TITLE>
|
|
|
|
<META NAME="description" CONTENT="psb_geaxpby -- General Dense Matrix Sum">
|
|
|
|
<META NAME="keywords" CONTENT="userhtml">
|
|
|
|
<META NAME="resource-type" CONTENT="document">
|
|
|
|
<META NAME="distribution" CONTENT="global">
|
|
|
|
|
|
|
|
<META NAME="Generator" CONTENT="LaTeX2HTML v2018">
|
|
|
|
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
|
|
|
|
|
|
|
|
<LINK REL="STYLESHEET" HREF="userhtml.css">
|
|
|
|
|
|
|
|
<LINK REL="next" HREF="node54.html">
|
|
|
|
<LINK REL="previous" HREF="node52.html">
|
|
|
|
<LINK REL="up" HREF="node52.html">
|
|
|
|
<LINK REL="next" HREF="node54.html">
|
|
|
|
</HEAD>
|
|
|
|
|
|
|
|
<BODY >
|
|
|
|
|
|
|
|
<DIV CLASS="navigation"><!--Navigation Panel-->
|
|
|
|
<A NAME="tex2html911"
|
|
|
|
HREF="node54.html">
|
|
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
|
|
<A NAME="tex2html907"
|
|
|
|
HREF="node52.html">
|
|
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
|
|
<A NAME="tex2html901"
|
|
|
|
HREF="node52.html">
|
|
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
|
|
<A NAME="tex2html909"
|
|
|
|
HREF="node1.html">
|
|
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
|
|
<BR>
|
|
|
|
<B> Next:</B> <A NAME="tex2html912"
|
|
|
|
HREF="node54.html">psb_gedot Dot</A>
|
|
|
|
<B> Up:</B> <A NAME="tex2html908"
|
|
|
|
HREF="node52.html">Computational routines</A>
|
|
|
|
<B> Previous:</B> <A NAME="tex2html902"
|
|
|
|
HREF="node52.html">Computational routines</A>
|
|
|
|
<B> <A NAME="tex2html910"
|
|
|
|
HREF="node1.html">Contents</A></B>
|
|
|
|
<BR>
|
|
|
|
<BR></DIV>
|
|
|
|
<!--End of Navigation Panel-->
|
|
|
|
|
|
|
|
<H2><A NAME="SECTION00051000000000000000">
|
|
|
|
psb_geaxpby -- General Dense Matrix Sum</A>
|
|
|
|
</H2>
|
|
|
|
|
|
|
|
<P>
|
|
|
|
This subroutine is an interface to the computational kernel for
|
|
|
|
dense matrix sum:
|
|
|
|
<BR><P></P>
|
|
|
|
<DIV ALIGN="CENTER" CLASS="mathdisplay">
|
|
|
|
<!-- MATH
|
|
|
|
\begin{displaymath}
|
|
|
|
y \leftarrow \alpha\> x+ \beta y
|
|
|
|
\end{displaymath}
|
|
|
|
-->
|
|
|
|
|
|
|
|
<IMG
|
|
|
|
WIDTH="93" HEIGHT="27" BORDER="0"
|
|
|
|
SRC="img19.png"
|
|
|
|
ALT="\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath}">
|
|
|
|
</DIV>
|
|
|
|
<BR CLEAR="ALL">
|
|
|
|
<P></P>
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<PRE>
|
|
|
|
call psb_geaxpby(alpha, x, beta, y, desc_a, info)
|
|
|
|
</PRE>
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<BR><P></P>
|
|
|
|
<DIV ALIGN="CENTER"><A NAME="2023"></A>
|
|
|
|
<TABLE>
|
|
|
|
<CAPTION><STRONG>Table 1:</STRONG>
|
|
|
|
Data types</CAPTION>
|
|
|
|
<TR><TD>
|
|
|
|
<DIV ALIGN="CENTER">
|
|
|
|
<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
|
|
|
|
<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img20.png"
|
|
|
|
ALT="$x$"></SPAN>, <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img21.png"
|
|
|
|
ALT="$y$"></SPAN>, <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img22.png"
|
|
|
|
ALT="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img23.png"
|
|
|
|
ALT="$\beta$"></SPAN></TD>
|
|
|
|
<TD ALIGN="LEFT"><B>Subroutine</B></TD>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT">Short Precision Real</TD>
|
|
|
|
<TD ALIGN="LEFT">psb_geaxpby</TD>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT">Long Precision Real</TD>
|
|
|
|
<TD ALIGN="LEFT">psb_geaxpby</TD>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
|
|
|
|
<TD ALIGN="LEFT">psb_geaxpby</TD>
|
|
|
|
</TR>
|
|
|
|
<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
|
|
|
|
<TD ALIGN="LEFT">psb_geaxpby</TD>
|
|
|
|
</TR>
|
|
|
|
</TABLE>
|
|
|
|
</DIV>
|
|
|
|
</TD></TR>
|
|
|
|
</TABLE>
|
|
|
|
</DIV><P></P>
|
|
|
|
<BR>
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<DL>
|
|
|
|
<DT><STRONG>Type:</STRONG></DT>
|
|
|
|
<DD>Synchronous.
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG><B>On Entry</B></STRONG></DT>
|
|
|
|
<DD>
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG>alpha</STRONG></DT>
|
|
|
|
<DD>the scalar <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img22.png"
|
|
|
|
ALT="$\alpha$"></SPAN>.
|
|
|
|
<BR>
|
|
|
|
Scope: <B>global</B>
|
|
|
|
<BR>
|
|
|
|
Type: <B>required</B>
|
|
|
|
<BR>
|
|
|
|
Intent: <B>in</B>.
|
|
|
|
<BR>
|
|
|
|
Specified as: a number of the data
|
|
|
|
type indicated in Table <A HREF="#tab:f90axpby">1</A>.
|
|
|
|
</DD>
|
|
|
|
<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>
|
|
|
|
<BR>
|
|
|
|
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 <A HREF="#tab:f90axpby">1</A>. The rank of <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img20.png"
|
|
|
|
ALT="$x$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img21.png"
|
|
|
|
ALT="$y$"></SPAN>.
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG>beta</STRONG></DT>
|
|
|
|
<DD>the scalar <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img23.png"
|
|
|
|
ALT="$\beta$"></SPAN>.
|
|
|
|
<BR>
|
|
|
|
Scope: <B>global</B>
|
|
|
|
<BR>
|
|
|
|
Type: <B>required</B>
|
|
|
|
<BR>
|
|
|
|
Intent: <B>in</B>.
|
|
|
|
<BR>
|
|
|
|
Specified as: a number of the data type indicated in Table <A HREF="#tab:f90axpby">1</A>.
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG>y</STRONG></DT>
|
|
|
|
<DD>the local portion of the global dense matrix
|
|
|
|
<SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img21.png"
|
|
|
|
ALT="$y$"></SPAN>.
|
|
|
|
<BR>
|
|
|
|
Scope: <B>local</B>
|
|
|
|
<BR>
|
|
|
|
Type: <B>required</B>
|
|
|
|
<BR>
|
|
|
|
Intent: <B>inout</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 the type
|
|
|
|
indicated in Table <A HREF="#tab:f90axpby">1</A>. The rank of <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img21.png"
|
|
|
|
ALT="$y$"></SPAN> must be the same of <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
|
|
|
SRC="img20.png"
|
|
|
|
ALT="$x$"></SPAN>.
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG>desc_a</STRONG></DT>
|
|
|
|
<DD>contains data structures for communications.
|
|
|
|
<BR>
|
|
|
|
Scope: <B>local</B>
|
|
|
|
<BR>
|
|
|
|
Type: <B>required</B>
|
|
|
|
<BR>
|
|
|
|
Intent: <B>in</B>.
|
|
|
|
<BR>
|
|
|
|
Specified as: an object of type descdata<TT>psb_desc_type</TT>.
|
|
|
|
|
|
|
|
<P>
|
|
|
|
</DD>
|
|
|
|
</DL>
|
|
|
|
|
|
|
|
<P>
|
|
|
|
<DL>
|
|
|
|
<DT><STRONG><B>On Return</B></STRONG></DT>
|
|
|
|
<DD>
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG>y</STRONG></DT>
|
|
|
|
<DD>the local portion of result submatrix <SPAN CLASS="MATH"><IMG
|
|
|
|
WIDTH="12" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
|
|
|
|
SRC="img21.png"
|
|
|
|
ALT="$y$"></SPAN>.
|
|
|
|
<BR>
|
|
|
|
Scope: <B>local</B>
|
|
|
|
<BR>
|
|
|
|
Type: <B>required</B>
|
|
|
|
<BR>
|
|
|
|
Intent: <B>inout</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 the type
|
|
|
|
indicated in Table <A HREF="#tab:f90axpby">1</A>.
|
|
|
|
</DD>
|
|
|
|
<DT><STRONG>info</STRONG></DT>
|
|
|
|
<DD>Error code.
|
|
|
|
<BR>
|
|
|
|
Scope: <B>local</B>
|
|
|
|
<BR>
|
|
|
|
Type: <B>required</B>
|
|
|
|
<BR>
|
|
|
|
Intent: <B>out</B>.
|
|
|
|
<BR>
|
|
|
|
An integer value; 0 means no error has been detected.
|
|
|
|
</DD>
|
|
|
|
</DL>
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
|
|
|
<DIV CLASS="navigation"><HR>
|
|
|
|
<!--Navigation Panel-->
|
|
|
|
<A NAME="tex2html911"
|
|
|
|
HREF="node54.html">
|
|
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
|
|
<A NAME="tex2html907"
|
|
|
|
HREF="node52.html">
|
|
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
|
|
<A NAME="tex2html901"
|
|
|
|
HREF="node52.html">
|
|
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
|
|
<A NAME="tex2html909"
|
|
|
|
HREF="node1.html">
|
|
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
|
|
<BR>
|
|
|
|
<B> Next:</B> <A NAME="tex2html912"
|
|
|
|
HREF="node54.html">psb_gedot Dot</A>
|
|
|
|
<B> Up:</B> <A NAME="tex2html908"
|
|
|
|
HREF="node52.html">Computational routines</A>
|
|
|
|
<B> Previous:</B> <A NAME="tex2html902"
|
|
|
|
HREF="node52.html">Computational routines</A>
|
|
|
|
<B> <A NAME="tex2html910"
|
|
|
|
HREF="node1.html">Contents</A></B> </DIV>
|
|
|
|
<!--End of Navigation Panel-->
|
|
|
|
|
|
|
|
</BODY>
|
|
|
|
</HTML>
|