<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) --> <HTML> <HEAD> <TITLE>psb_gedots -- Generalized Dot Product</TITLE> <META NAME="description" CONTENT="psb_gedots -- Generalized Dot Product"> <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="node56.html"> <LINK REL="previous" HREF="node54.html"> <LINK REL="up" HREF="node52.html"> <LINK REL="next" HREF="node56.html"> </HEAD> <BODY > <DIV CLASS="navigation"><!--Navigation Panel--> <A NAME="tex2html935" HREF="node56.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <A NAME="tex2html931" HREF="node52.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A> <A NAME="tex2html925" HREF="node54.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A> <A NAME="tex2html933" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html936" HREF="node56.html">psb_normi Infinity-Norm</A> <B> Up:</B> <A NAME="tex2html932" HREF="node52.html">Computational routines</A> <B> Previous:</B> <A NAME="tex2html926" HREF="node54.html">psb_gedot Dot</A> <B> <A NAME="tex2html934" HREF="node1.html">Contents</A></B> <BR> <BR></DIV> <!--End of Navigation Panel--> <H2><A NAME="SECTION00053000000000000000"> psb_gedots -- Generalized Dot Product</A> </H2> <P> This subroutine computes a series of dot products among the columns of two dense matrices <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN> and <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></SPAN>: <BR><P></P> <DIV ALIGN="CENTER" CLASS="mathdisplay"> <!-- MATH \begin{displaymath} res(i) \leftarrow x(:,i)^T y(:,i) \end{displaymath} --> <IMG WIDTH="150" HEIGHT="28" BORDER="0" SRC="img28.png" ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}"> </DIV> <BR CLEAR="ALL"> <P></P> If the matrices are complex, then the usual convention applies, i.e. the conjugate transpose of <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN> is used. If <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN> and <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></SPAN> are of rank one, then <SPAN CLASS="MATH"><IMG WIDTH="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img29.png" ALT="$res$"></SPAN> is a scalar, else it is a rank one array. <P> <PRE> call psb_gedots(res, x, y, desc_a, info) </PRE> <BR><P></P> <DIV ALIGN="CENTER"><A NAME="2011"></A> <TABLE> <CAPTION><STRONG>Table 3:</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="26" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img29.png" ALT="$res$"></SPAN>, <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN>, <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></SPAN></TD> <TD ALIGN="LEFT"><B>Subroutine</B></TD> </TR> <TR><TD ALIGN="LEFT">Short Precision Real</TD> <TD ALIGN="LEFT">psb_gedots</TD> </TR> <TR><TD ALIGN="LEFT">Long Precision Real</TD> <TD ALIGN="LEFT">psb_gedots</TD> </TR> <TR><TD ALIGN="LEFT">Short Precision Complex</TD> <TD ALIGN="LEFT">psb_gedots</TD> </TR> <TR><TD ALIGN="LEFT">Long Precision Complex</TD> <TD ALIGN="LEFT">psb_gedots</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>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:f90mdot">3</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="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></SPAN>. </DD> <DT><STRONG>y</STRONG></DT> <DD>the local portion of global dense matrix <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></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:f90mdot">3</A>. The rank of <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" 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>. </DD> <DT><STRONG><B>On Return</B></STRONG></DT> <DD> </DD> <DT><STRONG>res</STRONG></DT> <DD>is the dot product of vectors <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></SPAN> and <SPAN CLASS="MATH"><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></SPAN>. <BR> Scope: <B>global</B> <BR> Intent: <B>out</B>. <BR> Specified as: a number or a rank-one array of the data type indicated in Table <A HREF="#tab:f90dot">2</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="tex2html935" HREF="node56.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <A NAME="tex2html931" HREF="node52.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A> <A NAME="tex2html925" HREF="node54.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A> <A NAME="tex2html933" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html936" HREF="node56.html">psb_normi Infinity-Norm</A> <B> Up:</B> <A NAME="tex2html932" HREF="node52.html">Computational routines</A> <B> Previous:</B> <A NAME="tex2html926" HREF="node54.html">psb_gedot Dot</A> <B> <A NAME="tex2html934" HREF="node1.html">Contents</A></B> </DIV> <!--End of Navigation Panel--> </BODY> </HTML>