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Fixed dates in docs.
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@@ -53,10 +53,9 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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<H2><A NAME="SECTION00071000000000000000"></A><A NAME="sec:examples"></A>
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<BR>
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Examples
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</H2>
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</H2><FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<P>
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The code reported in Figure <A HREF="#fig:ex1">2</A> shows how to set and apply the default
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">The code reported in Figure <A HREF="#fig:ex1">2</A> shows how to set and apply the default
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multi-level preconditioner available in the real double precision version
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of MLD2P4 (see Table <A HREF="#tab:precinit">1</A>). This preconditioner is chosen
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by simply specifying <code>'ML'</code> as the second argument of <code>P%init</code>
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@@ -65,9 +64,9 @@ solver provided by PSBLAS (the matrix of the system to be solved is
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assumed to be positive definite). As previously observed, the modules
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<code>psb_base_mod</code>, <code>mld_prec_mod</code> and <code>psb_krylov_mod</code>
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must be used by the example program.
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</FONT></FONT></FONT>
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<P>
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The part of the code concerning the
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">The part of the code concerning the
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reading and assembling of the sparse matrix and the right-hand side vector, performed
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through the PSBLAS routines for sparse matrix and vector management, is not reported
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here for brevity; the statements concerning the deallocation of the PSBLAS
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@@ -79,17 +78,17 @@ input data is available in <code>examples/fileread/runs</code>.
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For details on the use of the PSBLAS routines, see the PSBLAS User's
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Guide [<A
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HREF="node27.html#PSBLASGUIDE">13</A>].
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</FONT></FONT></FONT>
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<P>
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The setup and application of the default multi-level preconditioner
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">The setup and application of the default multi-level preconditioner
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for the real single precision and the complex, single and double
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precision, versions are obtained with straightforward modifications of the previous
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example (see Section <A HREF="node15.html#sec:userinterface">6</A> for details). If these versions are installed,
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the corresponding codes are available in <code>examples/fileread/</code>.
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</FONT></FONT></FONT>
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig:ex1"></A><A NAME="519"></A>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<DIV ALIGN="CENTER"><A NAME="fig:ex1"></A><A NAME="535"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 2:</STRONG>
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setup and application of the default multi-level preconditioner (example 1).
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@@ -158,9 +157,9 @@ setup and application of the default multi-level preconditioner (example 1).
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<P>
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Different versions of the multi-level preconditioner can be obtained by changing
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">Different versions of the multi-level preconditioner can be obtained by changing
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the default values of the preconditioner parameters. The code reported in
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Figure <A HREF="#fig:ex2">3</A> shows how to set a V-cycle preconditioner
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which applies 1 block-Jacobi sweep as pre- and post-smoother,
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@@ -179,23 +178,23 @@ matrix is distributed, since MUMPS can be used on both
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replicated and distributed matrices, and by default
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it is used on replicated ones. The code fragments shown in Figures <A HREF="#fig:ex2">3</A> and <A HREF="#fig:ex3">4</A> are
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included in the example program file <code>mld_dexample_ml.f90</code> too.
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</FONT></FONT></FONT>
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<P>
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Finally, Figure <A HREF="#fig:ex4">5</A> shows the setup of a one-level
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">Finally, Figure <A HREF="#fig:ex4">5</A> shows the setup of a one-level
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additive Schwarz preconditioner, i.e., RAS with overlap 2.
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Note also that a Krylov method different from CG must be used to solve
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the preconditioned system, since the preconditione in nonsymmetric.
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The corresponding example program is available in the file
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<code>mld_dexample_1lev.f90</code>.
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</FONT></FONT></FONT>
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<P>
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For all the previous preconditioners, example programs where the sparse matrix and
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1">For all the previous preconditioners, example programs where the sparse matrix and
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the right-hand side are generated by discretizing a PDE with Dirichlet
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boundary conditions are also available in the directory <code>examples/pdegen</code>.
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</FONT></FONT></FONT>
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig:ex2"></A><A NAME="521"></A>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<DIV ALIGN="CENTER"><A NAME="fig:ex2"></A><A NAME="537"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 3:</STRONG>
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setup of a multi-level preconditioner</CAPTION>
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@@ -225,10 +224,10 @@ setup of a multi-level preconditioner</CAPTION>
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig:ex3"></A><A NAME="523"></A>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<DIV ALIGN="CENTER"><A NAME="fig:ex3"></A><A NAME="539"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 4:</STRONG>
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setup of a multi-level preconditioner</CAPTION>
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@@ -258,10 +257,10 @@ setup of a multi-level preconditioner</CAPTION>
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<P>
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<DIV ALIGN="CENTER"><A NAME="fig:ex4"></A><A NAME="525"></A>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<DIV ALIGN="CENTER"><A NAME="fig:ex4"></A><A NAME="541"></A>
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 5:</STRONG>
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setup of a one-level Schwarz preconditioner.</CAPTION>
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@@ -286,9 +285,9 @@ setup of a one-level Schwarz preconditioner.</CAPTION>
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</DIV></TD></TR>
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</TABLE>
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</DIV>
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<FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT>
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<P>
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<HR>
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<FONT SIZE="+1"><FONT SIZE="+1"><FONT SIZE="+1"></FONT></FONT></FONT><HR>
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<!--Navigation Panel-->
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<A NAME="tex2html243"
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HREF="node15.html">
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