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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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<TITLE>Sparse Matrix class</TITLE>
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<B> Next:</B> <A NAME="tex2html494"
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HREF="node23.html">Sparse Matrix Methods</A>
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<B> Up:</B> <A NAME="tex2html490"
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HREF="node9.html">Data Structures and Classes</A>
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<B> Previous:</B> <A NAME="tex2html484"
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HREF="node21.html">Named Constants</A>
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<B> <A NAME="tex2html492"
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HREF="node1.html">Contents</A></B>
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<BR>
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<!--End of Navigation Panel-->
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<H2><A NAME="SECTION00042000000000000000"></A>
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<A NAME="sec:spmat"></A>
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<BR>
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Sparse Matrix class
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</H2>
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The spdata<TT>psb_Tspmat_type</TT> class
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contains all information about the local portion of the sparse matrix and
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its storage mode. Its design is
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based on the STATE design pattern [<A
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HREF="node128.html#DesignPatterns">13</A>] as detailed
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in [<A
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HREF="node128.html#Sparse03">11</A>]; the type declaration is shown in
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figure <A HREF="#fig:spmattype">4</A> where <code>T</code> is a placeholder for the
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data type and precision variants
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<DL>
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<DT><STRONG>S</STRONG></DT>
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<DD>Single precision real;
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</DD>
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<DT><STRONG>D</STRONG></DT>
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<DD>Double precision real;
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</DD>
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<DT><STRONG>C</STRONG></DT>
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<DD>Single precision complex;
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</DD>
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<DT><STRONG>Z</STRONG></DT>
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<DD>Double precision complex.
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</DD>
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</DL>
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The actual data is contained in the polymorphic component <code>a%a</code>
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of type spbasedata<TT>psb_T_base_sparse_mat</TT>; its
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specific layout can be chosen dynamically among the predefined types,
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or an entirely new storage layout can be implemented and passed to the
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library at runtime via the <code>psb_spasb</code> routine.
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<DIV ALIGN="CENTER"><A NAME="fig:spmattype"></A><A NAME="875"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 4:</STRONG>
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The PSBLAS defined data type that
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contains a sparse matrix.</CAPTION>
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<TR><TD><DIV ALIGN="CENTER">
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</DIV><TABLE WIDTH="85%">
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<TR><TD>
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<PRE>
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type :: psb_Tspmat_type
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class(psb_T_base_sparse_mat), allocatable :: a
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end type psb_Tspmat_type
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</PRE></TD></TR>
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</TABLE>
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<DIV ALIGN="CENTER">
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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The following very common formats are precompiled in PSBLAS and thus
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are always available:
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<DL>
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<DT><STRONG>psb_T_coo_sparse_mat</STRONG></DT>
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<DD>Coordinate storage;
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</DD>
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<DT><STRONG>psb_T_csr_sparse_mat</STRONG></DT>
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<DD>Compressed storage by rows;
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</DD>
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<DT><STRONG>psb_T_csc_sparse_mat</STRONG></DT>
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<DD>Compressed storage by columns;
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</DD>
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</DL>
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The inner sparse matrix has an associated state, which can take the
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following values:
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<DL>
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<DT><STRONG>Build:</STRONG></DT>
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<DD>State entered after the first allocation, and before the
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first assembly; in this state it is possible to add nonzero entries.
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</DD>
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<DT><STRONG>Assembled:</STRONG></DT>
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<DD>State entered after the assembly; computations using
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the sparse matrix, such as matrix-vector products, are only possible
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in this state;
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</DD>
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<DT><STRONG>Update:</STRONG></DT>
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<DD>State entered after a reinitalization; this is used to
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handle applications in which the same sparsity pattern is used
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multiple times with different coefficients. In this state it is only
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possible to enter coefficients for already existing nonzero entries.
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</DD>
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</DL>
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The only storage variant supporting the build state is COO; all other
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variants are obtained by conversion to/from it.
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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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<UL>
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<LI><A NAME="tex2html495"
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HREF="node23.html">Sparse Matrix Methods</A>
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<LI><A NAME="tex2html496"
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HREF="node24.html">get_nrows -- Get number of rows in a sparse matrix</A>
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<LI><A NAME="tex2html497"
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HREF="node25.html">get_ncols -- Get number of columns in a sparse
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matrix</A>
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<LI><A NAME="tex2html498"
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HREF="node26.html">get_nnzeros -- Get number of nonzero elements
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in a sparse matrix</A>
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<LI><A NAME="tex2html499"
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HREF="node27.html">get_size -- Get maximum number of nonzero elements
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in a sparse matrix</A>
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<LI><A NAME="tex2html500"
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HREF="node28.html">sizeof -- Get memory occupation in bytes
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of a sparse matrix</A>
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<LI><A NAME="tex2html501"
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HREF="node29.html">get_fmt -- Short description of the dynamic type</A>
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<LI><A NAME="tex2html502"
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HREF="node30.html">is_bld, is_upd, is_asb -- Status check</A>
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<LI><A NAME="tex2html503"
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HREF="node31.html">is_lower, is_upper, is_triangle, is_unit --
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Format check</A>
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<LI><A NAME="tex2html504"
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HREF="node32.html">cscnv -- Convert to a different storage format</A>
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<LI><A NAME="tex2html505"
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HREF="node33.html">csclip -- Reduce to a submatrix</A>
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<LI><A NAME="tex2html506"
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HREF="node34.html">get_diag -- Get main diagonal</A>
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<LI><A NAME="tex2html507"
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HREF="node35.html">clip_diag -- Cut out main diagonal</A>
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<LI><A NAME="tex2html508"
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HREF="node36.html">tril -- Return the lower triangle</A>
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<LI><A NAME="tex2html509"
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HREF="node37.html">triu -- Return the upper triangle</A>
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<LI><A NAME="tex2html510"
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HREF="node38.html">psb_set_mat_default -- Set default storage format</A>
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<LI><A NAME="tex2html511"
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HREF="node39.html">clone -- Clone current object</A>
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<LI><A NAME="tex2html512"
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HREF="node40.html">Named Constants</A>
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</UL>
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<B> Next:</B> <A NAME="tex2html494"
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<B> Up:</B> <A NAME="tex2html490"
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HREF="node9.html">Data Structures and Classes</A>
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