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Matrix Product: <P> <BR> <DIV ALIGN="RIGHT"> <!-- MATH \begin{equation} y \leftarrow \alpha A x + \beta y \end{equation} --> <TABLE WIDTH="100%" ALIGN="CENTER"> <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG WIDTH="102" HEIGHT="27" BORDER="0" SRC="img44.png" ALT="\begin{displaymath} y \leftarrow \alpha A x + \beta y \end{displaymath}"></TD> <TD WIDTH=10 ALIGN="RIGHT"> (1)</TD></TR> </TABLE> <BR CLEAR="ALL"></DIV><P></P> <BR> <DIV ALIGN="RIGHT"> <!-- MATH \begin{equation} y \leftarrow \alpha A^T x + \beta y \end{equation} --> <TABLE WIDTH="100%" ALIGN="CENTER"> <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG WIDTH="111" HEIGHT="27" BORDER="0" SRC="img45.png" ALT="\begin{displaymath} y \leftarrow \alpha A^T x + \beta y \end{displaymath}"></TD> <TD WIDTH=10 ALIGN="RIGHT"> (2)</TD></TR> </TABLE> <BR CLEAR="ALL"></DIV><P></P> <BR> <DIV ALIGN="RIGHT"> <!-- MATH \begin{equation} y \leftarrow \alpha A^H x + \beta y \end{equation} --> <TABLE WIDTH="100%" ALIGN="CENTER"> <TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG WIDTH="114" HEIGHT="27" BORDER="0" SRC="img46.png" ALT="\begin{displaymath} y \leftarrow \alpha A^H x + \beta y \end{displaymath}"></TD> <TD WIDTH=10 ALIGN="RIGHT"> (3)</TD></TR> </TABLE> <BR CLEAR="ALL"></DIV><P></P> <P> where: <DL> <DT><STRONG><IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"></STRONG></DT> <DD>is the global dense matrix <IMG WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img47.png" ALT="$x_{:, :}$"> </DD> <DT><STRONG><IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"></STRONG></DT> <DD>is the global dense matrix <IMG WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img48.png" ALT="$y_{:, :}$"> </DD> <DT><STRONG><IMG WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img1.png" ALT="$A$"></STRONG></DT> <DD>is the global sparse matrix <IMG WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img1.png" ALT="$A$"> </DD> </DL> <P> <BR><P></P> <DIV ALIGN="CENTER"><A NAME="1872"></A> <TABLE> <CAPTION><STRONG>Table 12:</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="$A$">, <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">, <IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$">, <IMG WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img22.png" ALT="$\alpha$">, <IMG WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img23.png" ALT="$\beta$"></TD> <TD ALIGN="LEFT"><B>Subroutine</B></TD> </TR> <TR><TD ALIGN="LEFT">Short Precision Real</TD> <TD ALIGN="LEFT">psb_spmm</TD> </TR> <TR><TD ALIGN="LEFT">Long Precision Real</TD> <TD ALIGN="LEFT">psb_spmm</TD> </TR> <TR><TD ALIGN="LEFT">Short Precision Complex</TD> <TD ALIGN="LEFT">psb_spmm</TD> </TR> <TR><TD ALIGN="LEFT">Long Precision Complex</TD> <TD ALIGN="LEFT">psb_spmm</TD> </TR> </TABLE> </DIV> </TD></TR> </TABLE> </DIV><P></P> <BR> <P> <PRE> call psb_spmm(alpha, a, x, beta, y, desc_a, info) call psb_spmm(alpha, a, x, beta, y,desc_a, info, & & trans, work) </PRE> <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 <IMG WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img22.png" ALT="$\alpha$">. <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:f90spmm">12</A>. </DD> <DT><STRONG>a</STRONG></DT> <DD>the local portion of the sparse matrix <IMG WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img1.png" ALT="$A$">. <BR> Scope: <B>local</B> <BR> Type: <B>required</B> <BR> Intent: <B>in</B>. <BR> Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>. </DD> <DT><STRONG>x</STRONG></DT> <DD>the local portion of global dense matrix <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">. <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:f90spmm">12</A>. The rank of <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"> must be the same of <IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$">. </DD> <DT><STRONG>beta</STRONG></DT> <DD>the scalar <IMG WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img23.png" ALT="$\beta$">. <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:f90spmm">12</A>. </DD> <DT><STRONG>y</STRONG></DT> <DD>the local portion of global dense matrix <IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$">. <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 type specified in Table <A HREF="#tab:f90spmm">12</A>. The rank of <IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"> must be the same of <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$">. </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>trans</STRONG></DT> <DD>indicates what kind of operation to perform. <DL> <DT><STRONG>trans = N</STRONG></DT> <DD>the operation is specified by equation <A HREF="#eq:f90spmm_no_tra">1</A> </DD> <DT><STRONG>trans = T</STRONG></DT> <DD>the operation is specified by equation <A HREF="#eq:f90spmm_tra">2</A> </DD> <DT><STRONG>trans = C</STRONG></DT> <DD>the operation is specified by equation <A HREF="#eq:f90spmm_con">3</A> </DD> </DL> Scope: <B>global</B> <BR> Type: <B>optional</B> <BR> Intent: <B>in</B>. <BR> Default: <IMG WIDTH="79" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" SRC="img49.png" ALT="$trans = N$"> <BR> Specified as: a character variable. <P> </DD> <DT><STRONG>work</STRONG></DT> <DD>work array. <BR> Scope: <B>local</B> <BR> Type: <B>optional</B> <BR> Intent: <B>inout</B>. <BR> Specified as: a rank one array of the same type of <IMG WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img20.png" ALT="$x$"> and <IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$"> with the TARGET attribute. <P> </DD> <DT><STRONG><B>On Return</B></STRONG></DT> <DD> </DD> <DT><STRONG>y</STRONG></DT> <DD>the local portion of result matrix <IMG WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img21.png" ALT="$y$">. <BR> Scope: <B>local</B> <BR> Type: <B>required</B> <BR> Intent: <B>inout</B>. <BR> Specified as: an array of rank one or two containing numbers of type specified in Table <A HREF="#tab:f90spmm">12</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> <HR> <!--Navigation Panel--> <A NAME="tex2html995" HREF="node62.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <A NAME="tex2html991" HREF="node49.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A> <A NAME="tex2html985" HREF="node60.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A> <A NAME="tex2html993" HREF="node1.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html996" HREF="node62.html">psb_spsm Triangular</A> <B> Up:</B> <A NAME="tex2html992" HREF="node49.html">Computational routines</A> <B> Previous:</B> <A NAME="tex2html986" HREF="node60.html">psb_normi Infinity</A> <B> <A NAME="tex2html994" HREF="node1.html">Contents</A></B> <!--End of Navigation Panel--> </BODY> </HTML>