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Abstract< / A >
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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.
The first release made available various versions of
one-level additive and multi-level additive
and hybrid Schwarz preconditioners.
The package has been extended to include further multi-level cycles and smoothers widely used in
multigrid methods.
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 assumed to be square, real
or complex.
< 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 features
of an algebraic multi-level preconditioner, thus allowing to search
for the ``best'' preconditioner for the problem at hand.
< P >
The package employs object-oriented design techniques in
Fortran 2003, with interfaces to additional third party libraries
such as MUMPS, UMFPACK, SuperLU, and SuperLU_Dist, which
can be exploited in building multi-level preconditioners. The parallel
implementation is based on a Single Program Multiple Data (SPMD)
paradigm; the inter-process 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.
< P >
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