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This directory contains the MLD2P4 set of preconditioners, version 2.1
MLD2P4 version 2.1
MultiLevel Domain Decomposition Parallel Preconditioners Package
based on PSBLAS (Parallel Sparse BLAS version 3.5)
Salvatore Filippone Cranfield University, UK
Pasqua D'Ambra IAC-CNR, Naples, IT
Daniela di Serafino Univ. of Campania "L. Vanvitelli", Caserta, IT
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MLD2P4 (Multi-Level Domain Decomposition Parallel Preconditioners
Package based on PSBLAS (MLD2P4) provides parallel Algebraic MultiGrid
(AMG) and Domain Decomposition preconditioners, to be used in the
iterative solution of linear systems.
The name of the package comes from its original implementation,
containing multi-level additive and hybrid Schwarz preconditioners,
as well as one-level additive Schwarz preconditioners. The current
version extends the original plan by including multi-level cycles
and smoothers widely used in multigrid methods. 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.
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 is used
in conjuction with the Krylov solvers available from PSBLAS. 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
multilevel 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.
WHAT'S NEW
Version 2.1
1. The multigrid preconditioner now include fully general V- and W-
cycles. We also support K-cycles, both for symmetric and
1. The multigrid preconditioner now include fully general V- and
W-cycles. We also support K-cycles, both for symmetric and
nonsymmetric matrices, intended to be used in conjunction
with Flexible CG or GCR available in PSBLAS 3.5.
2. The smoothers now include popular
variants such as Jacobi, forward and backward hybrid
Gauss-Seidel (intra-process Gauss-Seidel, inter-process
block-Jacobi).
3. The PRE and POST specification for smoothers can now be
2. The smoothers now include popular variants such as Jacobi,
forward and backward hybrid Gauss-Seidel (intra-process
Gauss-Seidel, inter-process block-Jacobi).
3. The PRE and POST specification for smoothers can now be
specified independently of each other: you can even specify
different smoothers for PRE and POST (e.g. forward Gauss-Seidel
PRE with backward Gauss-Seidel POST). The default is to
have the specs apply to both PRE and POST.
Version 2.0.
Finally moved to F2003, with the support of PSBLAS3.