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LICENSE
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MLD2P4 version 2.2 AMG4PSBLAS version 1.0
MultiLevel Domain Decomposition Parallel Preconditioners Package Algebraic Multigrid Package
based on PSBLAS (Parallel Sparse BLAS version 3.5) based on PSBLAS (Parallel Sparse BLAS version 3.7)
(C) Copyright 2008-2018 (C) Copyright 2020
Salvatore Filippone Salvatore Filippone
Pasqua D'Ambra Pasqua D'Ambra
Daniela di Serafino Fabio Durastante
Redistribution and use in source and binary forms, with or without
Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions
modification, are permitted provided that the following conditions are met:
are met: 1. Redistributions of source code must retain the above copyright
1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright
2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the following disclaimer in the
notice, this list of conditions, and the following disclaimer in the documentation and/or other materials provided with the distribution.
documentation and/or other materials provided with the distribution. 3. The name of the AMG4PSBLAS group or the names of its contributors may
3. The name of the MLD2P4 group or the names of its contributors may not be used to endorse or promote products derived from this
not be used to endorse or promote products derived from this software without specific written permission.
software without specific written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
POSSIBILITY OF SUCH DAMAGE.

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LICENSE.MLD2P4
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MLD2P4 version 2.2
MultiLevel Domain Decomposition Parallel Preconditioners Package
based on PSBLAS (Parallel Sparse BLAS version 3.5)
(C) Copyright 2008-2018
Salvatore Filippone
Pasqua D'Ambra
Daniela di Serafino
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
1. Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
2. Redistributions in binary form must reproduce the above copyright
notice, this list of conditions, and the following disclaimer in the
documentation and/or other materials provided with the distribution.
3. The name of the MLD2P4 group or the names of its contributors may
not be used to endorse or promote products derived from this
software without specific written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE.

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README.md
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MLD2P4 AMG4PSBLAS
MultiLevel Domain Decomposition Parallel Preconditioners Package Algebraic Multigrid Package based on PSBLAS (Parallel Sparse BLAS version 3.7)
based on PSBLAS (Parallel Sparse BLAS version 3.5)
Salvatore Filippone (Cranfield University, UK) Salvatore Filippone (University of Rome Tor Vergata and IAC-CNR)
Pasqua D'Ambra (IAC-CNR, Naples, IT) Pasqua D'Ambra (IAC-CNR, Naples, IT)
Daniela di Serafino (Univ. of Campania "L. Vanvitelli", Caserta, IT) Fabio Durastante (IAC-CNR, Naples, IT)
--------------------------------------------------------------------- ---------------------------------------------------------------------
MLD2P4 (MultiLevel Domain Decomposition Parallel Preconditioners AMG4PSBLAS is a package of Algebraic MultiGrid (AMG)
Package based on PSBLAS) provides parallel Algebraic MultiGrid (AMG) preconditioners for the iterative solution of large and sparse linear systems.
and Domain Decomposition preconditioners, to be used in the
iterative solution of linear systems. It is an evolution of MLD2P4 (see LICENSE.MLD2P4), but it has been
thoroughly reworked, and it is sufficiently different to warrant a new
The name of the package comes from its original implementation, project name.
containing multilevel additive and hybrid Schwarz preconditioners,
as well as one-level additive Schwarz preconditioners. The current
version extends the original plan by including multilevel cycles MAIN REFERENCES:
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.
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.
MAIN REFERENCE:
P. D'Ambra, D. di Serafino, S. Filippone, P. D'Ambra, D. di Serafino, S. Filippone,
MLD2P4: a Package of Parallel Algebraic Multilevel Domain Decomposition MLD2P4: a Package of Parallel Algebraic Multilevel Domain Decomposition
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the corresponding preconditioner options will be available only from the corresponding preconditioner options will be available only from
the double precision version. the double precision version.
- The preconditioners in MLD2P4 extend those of PSBLAS and are meant
to be used with the PSBLAS Krylov solvers; so in an existing program
you need to modify the type of the preconditioner object and its
settings, but the rest of the application needs not be changed.
The MLD2P4 team. The AMG4PSBLAS team.
--------------- ---------------
Project lead:
Salvatore Filippone Salvatore Filippone
Contributors:
Pasqua D'Ambra Pasqua D'Ambra
Daniela di Serafino Fabio Durastante
Ambra Abdullahi Hassan
Alfredo Buttari

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