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Added entrywise inversion and documentation for vec-vec operation
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<HTML>
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<TITLE>psb_gather -- Gather Global Dense Matrix</TITLE>
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<META NAME="description" CONTENT="psb_gather -- Gather Global Dense Matrix">
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<TITLE>Communication routines</TITLE>
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<B> Previous:</B> <A NAME="tex2html1101"
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HREF="node68.html">psb_geinv Entrywise</A>
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<B> <A NAME="tex2html1109"
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HREF="node1.html">Contents</A></B>
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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="SECTION00063000000000000000">
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psb_gather -- Gather Global Dense Matrix</A>
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</H2>
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<H1><A NAME="SECTION00060000000000000000">
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Communication routines</A>
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</H1>
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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="node74.html#sec:toolsrout">6</A>.
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<P>
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These subroutines collect the portions of global dense matrix
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distributed over all process into one single array stored on one
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process.
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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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<P>
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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{displaymath}
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glob\_x \leftarrow collect(loc\_x_i)
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\end{displaymath}
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-->
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<IMG
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WIDTH="163" HEIGHT="28" BORDER="0"
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SRC="img73.png"
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ALT="\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \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><SPAN CLASS="MATH"><IMG
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WIDTH="46" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img74.png"
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ALT="$glob\_x$"></SPAN></STRONG></DT>
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<DD>is the global submatrix <!-- MATH
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$glob\_x_{1:m,1:n}$
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-->
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<SPAN CLASS="MATH"><IMG
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WIDTH="91" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img75.png"
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ALT="$glob\_x_{1:m,1:n}$"></SPAN>
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</DD>
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<DT><STRONG><SPAN CLASS="MATH"><IMG
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WIDTH="43" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img76.png"
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ALT="$loc\_x_i$"></SPAN></STRONG></DT>
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<DD>is the local portion of global dense matrix on
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process <SPAN CLASS="MATH"><IMG
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WIDTH="9" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
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SRC="img4.png"
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ALT="$i$"></SPAN>.
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</DD>
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<DT><STRONG><SPAN CLASS="MATH"><IMG
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WIDTH="49" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
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SRC="img77.png"
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ALT="$collect$"></SPAN></STRONG></DT>
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<DD>is the collect function.
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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="3474"></A>
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<TABLE>
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<CAPTION><STRONG>Table 16:</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="33" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img78.png"
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ALT="$x_i, y$"></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">Integer</TD>
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<TD ALIGN="LEFT">psb_gather</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_gather</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_gather</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_gather</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_gather</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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<BR>
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<IMG
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WIDTH="471" HEIGHT="35" ALIGN="BOTTOM" BORDER="0"
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SRC="img79.png"
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ALT="\begin{lstlisting}
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call psb_gather(glob_x, loc_x, desc_a, info, root)
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call psb_gather(glob_x, loc_x, desc_a, info, root)
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\end{lstlisting}">
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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>loc_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="46" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img74.png"
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ALT="$glob\_x$"></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: a rank one or two array or an object of type vdata<TT>psb_T_vect_type</TT>
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indicated in Table <A HREF="#tab:gather">16</A>.
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</DD>
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<DT><STRONG>desc_a</STRONG></DT>
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<DD>contains data structures for communications.
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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 structured data of type descdata<TT>psb_desc_type</TT>.
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</DD>
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<DT><STRONG>root</STRONG></DT>
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<DD>The process that holds the global copy. If <SPAN CLASS="MATH"><IMG
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WIDTH="74" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img80.png"
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ALT="$root=-1$"></SPAN> all
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the processes will have a copy of the global vector.
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<BR>
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Scope: <B>global</B>
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<BR>
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Type: <B>optional</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 integer variable <!-- MATH
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$-1\le root\le np-1$
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-->
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<SPAN CLASS="MATH"><IMG
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WIDTH="141" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img81.png"
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ALT="$-1\le root\le np-1$"></SPAN>, default <SPAN CLASS="MATH"><IMG
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WIDTH="24" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img82.png"
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ALT="$-1$"></SPAN>.
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</DD>
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<DT><STRONG><B>On Return</B></STRONG></DT>
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<DD>
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</DD>
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<DT><STRONG>glob_x</STRONG></DT>
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<DD>The array where the local parts must be gathered.
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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>out</B>.
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<BR>
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Specified as: a rank one or two array with the <code>ALLOCATABLE</code> attribute.
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</DD>
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<DT><STRONG>info</STRONG></DT>
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<DD>Error code.
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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>out</B>.
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<BR>
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An integer value; 0 means no error has been detected.
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</DD>
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</DL>
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<P>
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HREF="node70.html">psb_scatter Scatter</A>
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<B> Up:</B> <A NAME="tex2html1102"
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HREF="node66.html">Communication routines</A>
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<B> Previous:</B> <A NAME="tex2html1096"
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HREF="node68.html">psb_ovrl Overlap</A>
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<B> <A NAME="tex2html1104"
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HREF="node1.html">Contents</A></B> </DIV>
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<!--End of Navigation Panel-->
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<UL CLASS="ChildLinks">
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<LI><A NAME="tex2html1112"
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HREF="node70.html">psb_halo -- Halo Data Communication</A>
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<LI><A NAME="tex2html1113"
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HREF="node71.html">psb_ovrl -- Overlap Update</A>
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<LI><A NAME="tex2html1114"
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HREF="node72.html">psb_gather -- Gather Global Dense Matrix</A>
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<LI><A NAME="tex2html1115"
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HREF="node73.html">psb_scatter -- Scatter Global Dense Matrix</A>
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