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Document DESC%CNV method and MOLD arguments to CDASB and PREC%BUILD
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Salvatore Filippone
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@@ -1,79 +1,469 @@
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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>Communication routines</TITLE>
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<META NAME="description" CONTENT="Communication routines">
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<TITLE>psb_spsm -- Triangular System Solve</TITLE>
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<BR>
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<B> Next:</B> <A NAME="tex2html1050"
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HREF="node66.html">psb_halo Halo</A>
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HREF="userhtml.html">userhtml</A>
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<B> Previous:</B> <A NAME="tex2html1040"
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HREF="node64.html">psb_spsm Triangular</A>
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<B> <A NAME="tex2html1048"
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<B> Next:</B> <A NAME="tex2html1053"
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HREF="node66.html">Communication routines</A>
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HREF="node52.html">Computational routines</A>
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<B> Previous:</B> <A NAME="tex2html1045"
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HREF="node64.html">psb_spmm Sparse</A>
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<B> <A NAME="tex2html1051"
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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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<H1><A NAME="SECTION00060000000000000000">
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Communication routines</A>
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</H1>The routines in this chapter implement various global communication operators
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on vectors associated with a discretization mesh. For auxiliary communication
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routines not tied to a discretization space see <A HREF="node70.html#sec:toolsrout">6</A>.
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<H2><A NAME="SECTION000513000000000000000">
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psb_spsm -- Triangular System Solve</A>
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</H2>
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<P>
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<BR><HR>
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<!--Table of Child-Links-->
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<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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This subroutine computes the Triangular System Solve:
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<UL>
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<LI><A NAME="tex2html1051"
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HREF="node66.html">psb_halo -- Halo Data Communication</A>
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<LI><A NAME="tex2html1052"
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HREF="node67.html">psb_ovrl -- Overlap Update</A>
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<LI><A NAME="tex2html1053"
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HREF="node68.html">psb_gather -- Gather Global Dense Matrix</A>
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<LI><A NAME="tex2html1054"
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HREF="node69.html">psb_scatter -- Scatter Global Dense Matrix</A>
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</UL>
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<!--End of Table of Child-Links-->
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<BR><HR>
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<P>
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<P></P>
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<DIV ALIGN="CENTER" CLASS="mathdisplay">
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<!-- MATH
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\begin{eqnarray*}
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y &\leftarrow& \alpha T^{-1} x + \beta y\\
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y &\leftarrow& \alpha D T^{-1} x + \beta y\\
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y &\leftarrow& \alpha T^{-1} D x + \beta y\\
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y &\leftarrow& \alpha T^{-T} x + \beta y\\
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y &\leftarrow& \alpha D T^{-T} x + \beta y\\
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y &\leftarrow& \alpha T^{-T} D x + \beta y\\
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y &\leftarrow& \alpha T^{-H} x + \beta y\\
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y &\leftarrow& \alpha D T^{-H} x + \beta y\\
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y &\leftarrow& \alpha T^{-H} D x + \beta y\\
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\end{eqnarray*}
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-->
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<IMG
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WIDTH="160" HEIGHT="239" BORDER="0"
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SRC="img50.png"
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ALT="\begin{eqnarray*}
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y &\leftarrow& \alpha T^{-1} x + \beta y\\
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y &\leftarrow& \al...
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...-H} x + \beta y\\
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y &\leftarrow& \alpha T^{-H} D x + \beta y\\
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\end{eqnarray*}"></DIV>
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<BR CLEAR="ALL"><P></P>
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<BR CLEAR="ALL"><P></P>
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<P>
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where:
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<DL>
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<DT><STRONG><SPAN CLASS="MATH"><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="$x$"></SPAN></STRONG></DT>
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<DD>is the global dense matrix <SPAN CLASS="MATH"><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="$x_{:, :}$"></SPAN>
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</DD>
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<DT><STRONG><SPAN CLASS="MATH"><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="$y$"></SPAN></STRONG></DT>
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<DD>is the global dense matrix <SPAN CLASS="MATH"><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="$y_{:, :}$"></SPAN>
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</DD>
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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="img51.png"
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ALT="$T$"></SPAN></STRONG></DT>
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<DD>is the global sparse block triangular submatrix <SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img51.png"
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ALT="$T$"></SPAN>
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</DD>
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<DT><STRONG><SPAN CLASS="MATH"><IMG
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WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img52.png"
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ALT="$D$"></SPAN></STRONG></DT>
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<DD>is the scaling diagonal matrix.
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</DD>
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</DL>
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<P>
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<PRE>
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call psb_spsm(alpha, t, x, beta, y, desc_a, info)
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call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
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& trans, unit, choice, diag, work)
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</PRE>
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<P>
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<BR><P></P>
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<DIV ALIGN="CENTER"><A NAME="1989"></A>
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<TABLE>
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<CAPTION><STRONG>Table 13:</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"><SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
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SRC="img51.png"
|
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ALT="$T$"></SPAN>, <SPAN CLASS="MATH"><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="$x$"></SPAN>, <SPAN CLASS="MATH"><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="$y$"></SPAN>, <SPAN CLASS="MATH"><IMG
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WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
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SRC="img52.png"
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ALT="$D$"></SPAN>, <SPAN CLASS="MATH"><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="$\alpha$"></SPAN>, <SPAN CLASS="MATH"><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="$\beta$"></SPAN></TD>
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<TD ALIGN="LEFT"><B>Subroutine</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_spsm</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_spsm</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_spsm</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_spsm</TD>
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</TR>
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</TABLE>
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</DIV>
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</TD></TR>
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</TABLE>
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</DIV><P></P>
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<BR>
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<P>
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<DL>
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<DT><STRONG>Type:</STRONG></DT>
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<DD>Synchronous.
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</DD>
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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 <SPAN CLASS="MATH"><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="$\alpha$"></SPAN>.
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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:f90spsm">13</A>.
|
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</DD>
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<DT><STRONG>t</STRONG></DT>
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<DD>the global portion of the sparse matrix
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<SPAN CLASS="MATH"><IMG
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WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img51.png"
|
||||
ALT="$T$"></SPAN>.
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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: an object type specified in
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§ <A HREF="node9.html#sec:datastruct">3</A>.
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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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<SPAN CLASS="MATH"><IMG
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WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
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SRC="img20.png"
|
||||
ALT="$x$"></SPAN>.
|
||||
|
||||
<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
|
||||
Table <A HREF="#tab:f90spsm">13</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
|
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
|
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SRC="img21.png"
|
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ALT="$y$"></SPAN>.
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</DD>
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<DT><STRONG>beta</STRONG></DT>
|
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<DD>the scalar <SPAN CLASS="MATH"><IMG
|
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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:f90spsm">13</A>.
|
||||
</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>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:f90spsm">13</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>trans</STRONG></DT>
|
||||
<DD>specify with <EM>unitd</EM> the operation to perform.
|
||||
<DL>
|
||||
<DT><STRONG>trans = 'N'</STRONG></DT>
|
||||
<DD>the operation is with no transposed matrix
|
||||
</DD>
|
||||
<DT><STRONG>trans = 'T'</STRONG></DT>
|
||||
<DD>the operation is with transposed matrix.
|
||||
</DD>
|
||||
<DT><STRONG>trans = 'C'</STRONG></DT>
|
||||
<DD>the operation is with conjugate transposed matrix.
|
||||
</DD>
|
||||
</DL>
|
||||
Scope: <B>global</B>
|
||||
<BR>
|
||||
Type: <B>optional</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Default: <SPAN CLASS="MATH"><IMG
|
||||
WIDTH="79" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img49.png"
|
||||
ALT="$trans = N$"></SPAN>
|
||||
<BR>
|
||||
Specified as: a character variable.
|
||||
</DD>
|
||||
<DT><STRONG>unitd</STRONG></DT>
|
||||
<DD>specify with <EM>trans</EM> the operation to perform.
|
||||
<DL>
|
||||
<DT><STRONG>unitd = 'U'</STRONG></DT>
|
||||
<DD>the operation is with no scaling
|
||||
</DD>
|
||||
<DT><STRONG>unitd = 'L'</STRONG></DT>
|
||||
<DD>the operation is with left scaling
|
||||
</DD>
|
||||
<DT><STRONG>unitd = 'R'</STRONG></DT>
|
||||
<DD>the operation is with right scaling.
|
||||
</DD>
|
||||
</DL>
|
||||
Scope: <B>global</B>
|
||||
<BR>
|
||||
Type: <B>optional</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Default: <SPAN CLASS="MATH"><IMG
|
||||
WIDTH="76" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img53.png"
|
||||
ALT="$unitd = U$"></SPAN>
|
||||
<BR>
|
||||
Specified as: a character variable.
|
||||
</DD>
|
||||
<DT><STRONG>choice</STRONG></DT>
|
||||
<DD>specifies the update of overlap elements to be performed
|
||||
on exit:
|
||||
<DL>
|
||||
<DT></DT>
|
||||
<DD><code>psb_none_</code>
|
||||
</DD>
|
||||
<DT></DT>
|
||||
<DD><code>psb_sum_</code>
|
||||
</DD>
|
||||
<DT></DT>
|
||||
<DD><code>psb_avg_</code>
|
||||
</DD>
|
||||
<DT></DT>
|
||||
<DD><code>psb_square_root_</code>
|
||||
</DD>
|
||||
</DL>
|
||||
Scope: <B>global</B>
|
||||
<BR>
|
||||
Type: <B>optional</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Default: <code>psb_avg_</code>
|
||||
<BR>
|
||||
Specified as: an integer variable.
|
||||
</DD>
|
||||
<DT><STRONG>diag</STRONG></DT>
|
||||
<DD>the diagonal scaling matrix.
|
||||
<BR>
|
||||
Scope: <B>local</B>
|
||||
<BR>
|
||||
Type: <B>optional</B>
|
||||
<BR>
|
||||
Intent: <B>in</B>.
|
||||
<BR>
|
||||
Default: <!-- MATH
|
||||
$diag(1) = 1 (no scaling)$
|
||||
-->
|
||||
<SPAN CLASS="MATH"><IMG
|
||||
WIDTH="164" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
|
||||
SRC="img54.png"
|
||||
ALT="$diag(1) = 1 (no scaling)$"></SPAN>
|
||||
<BR>
|
||||
Specified as: a rank one array containing numbers of the type
|
||||
indicated in Table <A HREF="#tab:f90spsm">13</A>.
|
||||
</DD>
|
||||
<DT><STRONG>work</STRONG></DT>
|
||||
<DD>a 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 <SPAN CLASS="MATH"><IMG
|
||||
WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
|
||||
SRC="img20.png"
|
||||
ALT="$x$"></SPAN> 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 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>inout</B>.
|
||||
<BR>
|
||||
Specified as: an array of rank one or two
|
||||
containing numbers of type specified in
|
||||
Table <A HREF="#tab:f90spsm">13</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="tex2html1052"
|
||||
HREF="node66.html">
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||||
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
||||
<A NAME="tex2html1048"
|
||||
HREF="node52.html">
|
||||
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
||||
<A NAME="tex2html1044"
|
||||
HREF="node64.html">
|
||||
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
||||
<A NAME="tex2html1050"
|
||||
HREF="node1.html">
|
||||
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
||||
<BR>
|
||||
<B> Next:</B> <A NAME="tex2html1053"
|
||||
HREF="node66.html">Communication routines</A>
|
||||
<B> Up:</B> <A NAME="tex2html1049"
|
||||
HREF="node52.html">Computational routines</A>
|
||||
<B> Previous:</B> <A NAME="tex2html1045"
|
||||
HREF="node64.html">psb_spmm Sparse</A>
|
||||
<B> <A NAME="tex2html1051"
|
||||
HREF="node1.html">Contents</A></B> </DIV>
|
||||
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|
||||
|
||||
</BODY>
|
||||
</HTML>
|
||||
|
||||
Reference in New Issue
Block a user