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Document DESC%CNV method and MOLD arguments to CDASB and PREC%BUILD
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Salvatore Filippone
+67
-296
@@ -1,193 +1,118 @@
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<!--Converted with LaTeX2HTML 2012 (1.2)
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original version by: Nikos Drakos, CBLU, University of Leeds
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* revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan
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* with significant contributions from:
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Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
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<HTML>
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<HEAD>
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<TITLE>psb_spmm -- Sparse Matrix by Dense Matrix Product</TITLE>
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<META NAME="description" CONTENT="psb_spmm -- Sparse Matrix by Dense Matrix Product">
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<TITLE>psb_normi -- Infinity Norm of Sparse Matrix</TITLE>
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HREF="node64.html">psb_spsm Triangular</A>
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HREF="node51.html">Computational routines</A>
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HREF="node62.html">psb_normi Infinity</A>
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HREF="node64.html">psb_spmm Sparse</A>
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HREF="node52.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html1021"
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HREF="node62.html">psb_norm1 1-Norm</A>
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<B> <A NAME="tex2html1029"
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HREF="node1.html">Contents</A></B>
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<BR>
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<BR>
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<BR></DIV>
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<!--End of Navigation Panel-->
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<H2><A NAME="SECTION000512000000000000000">
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psb_spmm -- Sparse Matrix by Dense Matrix
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Product</A>
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<H2><A NAME="SECTION000511000000000000000">
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psb_normi -- Infinity Norm of Sparse Matrix</A>
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</H2>
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<P>
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This subroutine computes the Sparse Matrix by Dense Matrix Product:
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This function computes the infinity-norm of a matrix <SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$"></SPAN>:
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<BR>
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<P>
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<BR>
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<DIV ALIGN="RIGHT">
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<BR><P></P>
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<DIV ALIGN="CENTER" CLASS="mathdisplay">
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha A x + \beta y
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\end{equation}
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\begin{displaymath}
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nrmi \leftarrow \|A\|_\infty
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\end{displaymath}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_no_tra"></A><IMG
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WIDTH="102" HEIGHT="27" BORDER="0"
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SRC="img44.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha A x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(1)</TD></TR>
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</TABLE>
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<BR CLEAR="ALL"></DIV><P></P>
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<BR>
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<DIV ALIGN="RIGHT">
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha A^T x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_tra"></A><IMG
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WIDTH="111" HEIGHT="27" BORDER="0"
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SRC="img45.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha A^T x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(2)</TD></TR>
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</TABLE>
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<BR CLEAR="ALL"></DIV><P></P>
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<BR>
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<DIV ALIGN="RIGHT">
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<!-- MATH
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\begin{equation}
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y \leftarrow \alpha A^H x + \beta y
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\end{equation}
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-->
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<TABLE WIDTH="100%" ALIGN="CENTER">
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<TR VALIGN="MIDDLE"><TD ALIGN="CENTER" NOWRAP><A NAME="eq:f90spmm_con"></A><IMG
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WIDTH="114" HEIGHT="27" BORDER="0"
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SRC="img46.png"
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ALT="\begin{displaymath}
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y \leftarrow \alpha A^H x + \beta y
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\end{displaymath}"></TD>
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<TD WIDTH=10 ALIGN="RIGHT">
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(3)</TD></TR>
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</TABLE>
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<BR CLEAR="ALL"></DIV><P></P>
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<P>
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<IMG
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WIDTH="102" HEIGHT="28" BORDER="0"
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SRC="img43.png"
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ALT="\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}">
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</DIV>
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<BR CLEAR="ALL">
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<P></P>
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where:
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<DL>
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<DT><STRONG><IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"></STRONG></DT>
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<DD>is the global dense matrix <IMG
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WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img47.png"
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ALT="$x_{:, :}$">
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</DD>
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<DT><STRONG><IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$"></STRONG></DT>
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<DD>is the global dense matrix <IMG
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WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img48.png"
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ALT="$y_{:, :}$">
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</DD>
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<DT><STRONG><IMG
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<DT><STRONG><SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$"></STRONG></DT>
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<DD>is the global sparse matrix <IMG
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ALT="$A$"></SPAN></STRONG></DT>
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<DD>represents the global matrix <SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">
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ALT="$A$"></SPAN>
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</DD>
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</DL>
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<P>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="1959"></A>
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<DIV ALIGN="CENTER"><A NAME="1987"></A>
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<TABLE>
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<CAPTION><STRONG>Table 12:</STRONG>
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<CAPTION><STRONG>Table 11:</STRONG>
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Data types</CAPTION>
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<TR><TD>
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<DIV ALIGN="CENTER">
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<TABLE CELLPADDING=3 BORDER="1" ALIGN="CENTER">
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<TR><TD ALIGN="LEFT"><IMG
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<TR><TD ALIGN="LEFT"><SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">, <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$">, <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">, <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img22.png"
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ALT="$\alpha$">, <IMG
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WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img23.png"
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ALT="$\beta$"></TD>
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<TD ALIGN="LEFT"><B>Subroutine</B></TD>
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ALT="$A$"></SPAN></TD>
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<TD ALIGN="LEFT"><B>Function</B></TD>
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</TR>
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<TR><TD ALIGN="LEFT">Short Precision Real</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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<TD ALIGN="LEFT">psb_spnrmi</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Long Precision Real</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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<TD ALIGN="LEFT">psb_spnrmi</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Short Precision Complex</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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<TD ALIGN="LEFT">psb_spnrmi</TD>
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</TR>
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<TR><TD ALIGN="LEFT">Long Precision Complex</TD>
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<TD ALIGN="LEFT">psb_spmm</TD>
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<TD ALIGN="LEFT">psb_spnrmi</TD>
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</TR>
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</TABLE>
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</DIV>
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@@ -198,10 +123,9 @@ Data types</CAPTION>
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<P>
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<PRE>
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call psb_spmm(alpha, a, x, beta, y, desc_a, info)
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call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
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& trans, work)
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</PRE>
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psb_spnrmi(A, desc_a, info)
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psb_normi(A, desc_a, info)
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</PRE>
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<P>
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<DL>
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@@ -211,27 +135,12 @@ call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
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<DT><STRONG><B>On Entry</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>alpha</STRONG></DT>
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<DD>the scalar <IMG
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WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img22.png"
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ALT="$\alpha$">.
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<BR>
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Scope: <B>global</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a number of the data type indicated in
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Table <A HREF="#tab:f90spmm">12</A>.
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</DD>
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<DT><STRONG>a</STRONG></DT>
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<DD>the local portion of the sparse matrix
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<IMG
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<DD>the local portion of the global sparse matrix
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<SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img1.png"
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ALT="$A$">.
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ALT="$A$"></SPAN>.
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<BR>
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Scope: <B>local</B>
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<BR>
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@@ -241,66 +150,6 @@ Intent: <B>in</B>.
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<BR>
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Specified as: an object of type spdata<TT>psb_Tspmat_type</TT>.
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</DD>
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<DT><STRONG>x</STRONG></DT>
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<DD>the local portion of global dense matrix
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<IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$">.
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<BR>
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Scope: <B>local</B>
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<BR>
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Type: <B>required</B>
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<BR>
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Intent: <B>in</B>.
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<BR>
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Specified as: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
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containing numbers of type specified in
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Table <A HREF="#tab:f90spmm">12</A>. The rank of <IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img20.png"
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ALT="$x$"> must be the same of <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img21.png"
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ALT="$y$">.
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</DD>
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<DT><STRONG>beta</STRONG></DT>
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<DD>the scalar <IMG
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WIDTH="14" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
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SRC="img23.png"
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ALT="$\beta$">.
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<BR>
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Scope: <B>global</B>
|
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<BR>
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Type: <B>required</B>
|
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<BR>
|
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Intent: <B>in</B>.
|
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<BR>
|
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Specified as: a number of the data type indicated in Table <A HREF="#tab:f90spmm">12</A>.
|
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</DD>
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<DT><STRONG>y</STRONG></DT>
|
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<DD>the local portion of global dense matrix
|
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<IMG
|
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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>
|
||||
@@ -312,73 +161,18 @@ 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="$y$">.
|
||||
<DT><STRONG>Function value</STRONG></DT>
|
||||
<DD>is the infinity-norm of sparse submatrix <SPAN CLASS="MATH"><IMG
|
||||
WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img1.png"
|
||||
ALT="$A$"></SPAN>.
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
Scope: <B>global</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>.
|
||||
Specified as: a long precision real number.
|
||||
</DD>
|
||||
<DT><STRONG>info</STRONG></DT>
|
||||
<DD>Error code.
|
||||
@@ -394,30 +188,7 @@ An integer value; 0 means no error has been detected.
|
||||
</DL>
|
||||
|
||||
<P>
|
||||
<HR>
|
||||
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|
||||
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|
||||
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||||
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|
||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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|
||||
<BR>
|
||||
<B> Next:</B> <A NAME="tex2html1028"
|
||||
HREF="node64.html">psb_spsm Triangular</A>
|
||||
<B> Up:</B> <A NAME="tex2html1024"
|
||||
HREF="node51.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html1018"
|
||||
HREF="node62.html">psb_normi Infinity</A>
|
||||
<B> <A NAME="tex2html1026"
|
||||
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|
||||
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|
||||
<BR><HR>
|
||||
|
||||
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|
||||
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|
||||
|
||||
Reference in New Issue
Block a user