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Added entrywise inversion and documentation for vec-vec operation
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<TITLE>psb_spins -- Insert a set of coefficients into a sparse matrix</TITLE>
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<META NAME="description" CONTENT="psb_spins -- Insert a set of coefficients into a sparse matrix">
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<TITLE>psb_cdfree -- Frees a communication descriptor</TITLE>
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HREF="node80.html">psb_spasb Sparse</A>
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HREF="node78.html">psb_cdcpy Copies</A>
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<B> <A NAME="tex2html1258"
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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="SECTION00078000000000000000">
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psb_spins -- Insert a set of coefficients into a sparse
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matrix</A>
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<H2><A NAME="SECTION00075000000000000000">
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psb_cdfree -- Frees a communication descriptor</A>
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</H2>
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<P>
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<PRE>
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call psb_spins(nz, ia, ja, val, a, desc_a, info [,local])
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call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local])
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call psb_cdfree(desc_a, info)
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</PRE>
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<P>
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<DL>
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<DT><STRONG>Type:</STRONG></DT>
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<DD>Asynchronous.
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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>nz</STRONG></DT>
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<DD>the number of coefficients to be inserted.
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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 integer scalar.
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</DD>
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<DT><STRONG>nr</STRONG></DT>
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<DD>the number of rows to be inserted.
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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 integer scalar.
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</DD>
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<DT><STRONG>irw</STRONG></DT>
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<DD>the first row to be inserted.
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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 integer scalar.
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</DD>
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<DT><STRONG>ia</STRONG></DT>
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<DD>the row indices of the coefficients to be inserted.
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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 integer array of size <SPAN CLASS="MATH"><IMG
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WIDTH="22" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img105.png"
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ALT="$nz$"></SPAN>.
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</DD>
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<DT><STRONG>irp</STRONG></DT>
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<DD>the row pointers of the coefficients to be inserted.
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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 integer array of size <SPAN CLASS="MATH"></SPAN>.
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</DD>
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<DT><STRONG>ja</STRONG></DT>
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<DD>the column indices of the coefficients to be inserted.
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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 integer array of size <SPAN CLASS="MATH"><IMG
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WIDTH="22" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img105.png"
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ALT="$nz$"></SPAN>.
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</DD>
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<DT><STRONG>val</STRONG></DT>
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<DD>the coefficients to be inserted.
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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 array of size <SPAN CLASS="MATH"><IMG
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WIDTH="22" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img105.png"
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ALT="$nz$"></SPAN>. Must be of the same type and kind
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of the coefficients of the sparse matrix <SPAN CLASS="MATH"><IMG
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WIDTH="12" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img109.png"
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ALT="$a$"></SPAN>.
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</DD>
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<DT><STRONG>desc_a</STRONG></DT>
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<DD>The communication descriptor.
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<DD>the communication descriptor to be freed.
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<BR>
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Scope: <B>local</B>.
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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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Type:<B>required</B>.
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<BR>
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Intent: <B>inout</B>.
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<BR>
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Specified as: a variable of type descdata<TT>psb_desc_type</TT>.
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<BR></DD>
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<DT><STRONG>local</STRONG></DT>
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<DD>Whether the entries in the indices vectors <code>ia</code>,
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<code>ja</code> are already in local numbering.
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<BR>
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Scope:<B>local</B>.
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<BR>
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Type:<B>optional</B>.
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<BR>
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Specified as: a logical value; default: <code>.false.</code>.
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<P>
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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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</DL>
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@@ -187,28 +83,6 @@ Specified as: a logical value; default: <code>.false.</code>.
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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>a</STRONG></DT>
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<DD>the matrix into which coefficients will be inserted.
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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>inout</B>.
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<BR>
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Specified as: a structured data of type spdata<TT>psb_Tspmat_type</TT>.
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</DD>
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<DT><STRONG>desc_a</STRONG></DT>
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<DD>The communication descriptor.
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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>inout</B>.
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<BR>
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Specified as: a variable of type descdata<TT>psb_desc_type</TT>.
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<BR></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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@@ -223,98 +97,7 @@ An integer value; 0 means no error has been detected.
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</DL>
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<P>
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<BIG CLASS="LARGE"><B>Notes</B></BIG>
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<OL>
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<LI>On entry to this routine the descriptor may be in either the
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build or assembled state.
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</LI>
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<LI>On entry to this routine the sparse matrix may be in either the
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build or update state.
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</LI>
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<LI>If the descriptor is in the build state, then the sparse matrix
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must also be in the build state; the action of the routine is to
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(implicitly) call <code>psb_cdins</code> to add entries to the sparsity
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pattern; each sparse matrix entry implicitly defines a graph edge,
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that is passed to the descriptor routine for the appropriate
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processing;
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</LI>
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<LI>The input data can be passed in either COO or CSR formats;
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</LI>
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<LI>In COO format the coefficients to be inserted are represented by
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the ordered triples <!-- MATH
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$ia(i),ja(i),val(i)$
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-->
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<SPAN CLASS="MATH"><IMG
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WIDTH="124" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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SRC="img110.png"
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ALT="$ia(i),ja(i),val(i)$"></SPAN>, for <SPAN CLASS="MATH"><IMG
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WIDTH="91" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
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SRC="img111.png"
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ALT="$i=1,\dots,nz$"></SPAN>;
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these triples should belong to the current process, i.e. <SPAN CLASS="MATH"><IMG
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WIDTH="36" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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SRC="img103.png"
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ALT="$ia(i)$"></SPAN>
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should be one of the local indices, but are otherwise arbitrary;
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</LI>
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<LI>In CSR format the coefficients to be inserted for each input row <SPAN CLASS="MATH"></SPAN>
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are represented by the ordered triples <!-- MATH
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$(i+irw-1),ja(j),val(j)$
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-->
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<SPAN CLASS="MATH"></SPAN>, for
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<!-- MATH
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$j=irp(i),\dots,irp(i+1)-1$
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-->
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<SPAN CLASS="MATH"></SPAN>;
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these triples should belong to the current process, i.e. <SPAN CLASS="MATH"></SPAN>
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should be one of the local indices, but are otherwise arbitrary;
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</LI>
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<LI>There is no requirement that a given row must be passed in its
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entirety to a single call to this routine: the buildup of a row
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may be split into as many calls as desired (even in the CSR format);
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</LI>
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<LI>Coefficients from different rows may also be mixed up freely
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in a single call, according to the application needs;
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</LI>
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<LI>Any coefficients from matrix rows not owned by the calling
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process are silently ignored;
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</LI>
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<LI>If the descriptor is in the assembled state, then any entries in
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the sparse matrix that would generate additional communication
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requirements are ignored;
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</LI>
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<LI>If the matrix is in the update state, any entries in positions
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that were not present in the original matrix are ignored.
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</LI>
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</OL>
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<P>
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