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<P>
MLD2P4 User's and Reference Guidetitle
<BR>
<TABLE WIDTH="100%">
<TR><TD>
<DIV ALIGN="RIGHT">
<FONT SIZE="+4"><B>MLD2P4
<BR>
<BR>
User's and Reference Guide
</B></FONT>
<BR>
<BR>
<BR>
<BR><I><FONT SIZE="+2">A guide for the Multi-Level Domain Decomposition <BR>
<BR>
Parallel Preconditioners Package
based on PSBLAS</FONT></I>
</DIV></TD></TR>
</TABLE>
<P>
<BR>
<TABLE WIDTH="100%">
<TR><TD>
<DIV ALIGN="RIGHT">
<FONT SIZE="+1"><B>Pasqua D'Ambra</B></FONT>
<BR><FONT SIZE="+1">ICAR-CNR, Naples, Italy
<BR>
<BR>
<BR>
<BR><FONT SIZE="+1"><B>Daniela di Serafino</B></FONT>
<BR><FONT SIZE="+1">Second University of Naples, Italy
<BR>
<BR>
<BR>
<BR><FONT SIZE="+1"><B>Salvatore Filippone</B></FONT>
<BR><FONT SIZE="+1">University of Rome ``Tor Vergata'', Italy
</FONT></FONT></FONT></DIV></TD></TR>
</TABLE>
<P>
<BR>
<TABLE WIDTH="100%">
<TR><TD>
<DIV ALIGN="RIGHT">
<FONT SIZE="+1">Software version: 1.0
<BR>
July 22, 2008
</FONT></DIV></TD></TR>
</TABLE>
<P>
<BR>
<BR>
<P>
<P>
<H3>Abstract:</H3>
<DIV>
MLD2P4 (M<SMALL>ULTI-</SMALL>L<SMALL>EVEL </SMALL>D<SMALL>OMAIN </SMALL>D<SMALL>ECOMPOSITION </SMALL>P<SMALL>ARALLEL </SMALL>P<SMALL>RECONDITIONERS </SMALL>P<SMALL>ACKAGE BASED ON
</SMALL>PSBLAS) is a package of parallel algebraic multi-level preconditioners.
It implements various versions of one-level additive and of multi-level additive
and hybrid Schwarz algorithms. In the multi-level case, a purely algebraic approach
is applied to generate coarse-level corrections, so that no geometric background is needed
concerning the matrix to be preconditioned. The matrix is required to be square, real
or complex, with a symmetric sparsity pattern.
<P>
MLD2P4 has been designed to provide scalable and easy-to-use preconditioners in the
context of the PSBLAS (Parallel Sparse Basic Linear Algebra Subprograms)
computational framework and can be used in conjuction with the Krylov solvers
available in this framework. MLD2P4 enables the user to easily specify different aspects
of a generic algebraic multilevel Schwarz preconditioner, thus allowing to search
for the ``best'' preconditioner for the problem at hand.
<P>
The package has been designed employing object-oriented techniques,
using Fortran 95, with interfaces to additional third party libraries
such as UMFPACK, SuperLU and SuperLU_Dist, that
can be exploited in building multi-level preconditioners. The parallel
implementation is based on a Single Program Multiple Data (SPMD)
paradigm for distributed-memory architectures; the inter-process data
communication is based on MPI and is managed mainly through PSBLAS.
<P>
This guide provides a brief description of the functionalities and
the user interface of MLD2P4.
</DIV>
<P>
<P>
<BR><HR>
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<UL>
<LI><A NAME="tex2html15"
HREF="node1.html">Contents</A>
<LI><A NAME="tex2html16"
HREF="node2.html">General Overview</A>
<LI><A NAME="tex2html17"
HREF="node3.html">Notational Conventions</A>
<LI><A NAME="tex2html18"
HREF="node4.html">Code Distribution</A>
<LI><A NAME="tex2html19"
HREF="node5.html">Configuring and Building MLD2P4</A>
<UL>
<LI><A NAME="tex2html20"
HREF="node6.html">Prerequisites</A>
<LI><A NAME="tex2html21"
HREF="node7.html">Optional third party libraries</A>
<LI><A NAME="tex2html22"
HREF="node8.html">Configuration options</A>
<LI><A NAME="tex2html23"
HREF="node9.html">Example and test programs</A>
</UL>
<BR>
<LI><A NAME="tex2html24"
HREF="node10.html">Multi-level Domain Decomposition Background</A>
<UL>
<LI><A NAME="tex2html25"
HREF="node11.html">Multi-level Schwarz Preconditioners</A>
<LI><A NAME="tex2html26"
HREF="node12.html">Smoothed Aggregation</A>
</UL>
<BR>
<LI><A NAME="tex2html27"
HREF="node13.html">Getting Started</A>
<UL>
<LI><A NAME="tex2html28"
HREF="node14.html">Examples</A>
</UL>
<BR>
<LI><A NAME="tex2html29"
HREF="node15.html">User Interface</A>
<UL>
<LI><A NAME="tex2html30"
HREF="node16.html">Subroutine mld_precinit</A>
<UL>
<LI><A NAME="tex2html31"
HREF="node17.html">Arguments</A>
</UL>
<LI><A NAME="tex2html32"
HREF="node18.html">Subroutine mld_precset</A>
<UL>
<LI><A NAME="tex2html33"
HREF="node19.html">Arguments</A>
</UL>
<LI><A NAME="tex2html34"
HREF="node20.html">Subroutine mld_precbld</A>
<UL>
<LI><A NAME="tex2html35"
HREF="node21.html">Arguments</A>
</UL>
<LI><A NAME="tex2html36"
HREF="node22.html">Subroutine mld_precaply</A>
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HREF="node24.html">Subroutine mld_precfree</A>
<UL>
<LI><A NAME="tex2html39"
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<LI><A NAME="tex2html40"
HREF="node26.html">Subroutine mld_precdescr</A>
<UL>
<LI><A NAME="tex2html41"
HREF="node27.html">Arguments</A>
</UL>
</UL>
<BR>
<LI><A NAME="tex2html42"
HREF="node28.html">Error Handling</A>
<LI><A NAME="tex2html43"
HREF="node29.html">License</A>
<LI><A NAME="tex2html44"
HREF="node30.html">Bibliography</A>
<LI><A NAME="tex2html45"
HREF="node31.html">About this document ...</A>
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<ADDRESS>
Salvatore Filippone
2008-07-22
</ADDRESS>
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