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New interfaces for building hierachy and preconditioner.
This commit is contained in:
Salvatore Filippone
2016-06-09 15:38:36 +00:00
parent d989714ee9
commit 86982461ad
35 changed files with 5859 additions and 5210 deletions
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@@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds
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@@ -59,7 +59,7 @@ Getting Started
<P>
We describe the basics for building and applying MLD2P4 one-level and multi-level
Schwarz preconditioners with the Krylov solvers included in PSBLAS [<A
HREF="node25.html#PSBLASGUIDE">16</A>].
HREF="node27.html#PSBLASGUIDE">16</A>].
The following steps are required:
<OL>
@@ -80,6 +80,18 @@ The following steps are required:
Note that these strings are valid also if uppercase letters are substituted by
corresponding lowercase ones.
</LI>
<LI><I>Modify the aggregation parameters.</I> This is performed by
the routine <code>mld_precset</code>.
This routine must be called only if the user wants to modify the default values
of the parameters associated to the aggregation hierarchy construction.
Examples of use of <code>mld_precset</code> are given in
Section&nbsp;<A HREF="node15.html#sec:examples">5.1</A>; a complete list of all the
preconditioner parameters and their allowed and default values is provided in
Section&nbsp;<A HREF="node16.html#sec:userinterface">6</A>, Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>.
</LI>
<LI><I>Build the aggregation hierarchy for a given matrix.</I> This is performed by
the routine <code>mld_hierarchy_bld</code>.
</LI>
<LI><I>Modify the selected preconditioner type, by properly setting
preconditioner parameters.</I> This is performed by the routine <code>mld_precset</code>.
This routine must be called only if the user wants to modify the default values
@@ -90,7 +102,7 @@ The following steps are required:
Section&nbsp;<A HREF="node16.html#sec:userinterface">6</A>, Tables&nbsp;<A HREF="#tab:p_type">2</A>-<A HREF="#tab:p_coarse">6</A>.
</LI>
<LI><I>Build the preconditioner for a given matrix.</I> This is performed by
the routine <code>mld_precbld</code>.
the routine <code>mld_ml_prec_bld</code>.
</LI>
<LI><I>Apply the preconditioner at each iteration of a Krylov solver.</I>
This is performed by the routine <code>mld_precaply</code>. When using the PSBLAS Krylov solvers,
@@ -121,8 +133,8 @@ machines, it often leads to the smallest execution time when applied to
linear systems coming from finite-difference discretizations of basic
elliptic PDE problems, considered as standard tests for multi-level Schwarz
preconditioners [<A
HREF="node25.html#aaecc_07">3</A>,<A
HREF="node25.html#apnum_07">4</A>]. However, this solver does
HREF="node27.html#aaecc_07">3</A>,<A
HREF="node27.html#apnum_07">4</A>]. However, this solver does
not necessarily correspond to the smallest number of iterations of the
preconditioned Krylov method, which is usually obtained by applying
a direct solver to the coarsest-level system, e.g. based on the LU
@@ -131,7 +143,7 @@ for the coarsest-level solvers available in MLD2P4).
<P>
<BR><P></P>
<DIV ALIGN="CENTER"><A NAME="943"></A>
<DIV ALIGN="CENTER"><A NAME="949"></A>
<TABLE>
<CAPTION><STRONG>Table 1:</STRONG>
Preconditioner types, corresponding strings and default choices.
@@ -198,32 +210,32 @@ Preconditioner types, corresponding strings and default choices.
<A NAME="CHILD_LINKS"><STRONG>Subsections</STRONG></A>
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