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%\section{Bibliography\label{sec:bib}}
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\begin{thebibliography}{99}
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\addcontentsline{toc}{section}{\refname}
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\markboth{\textsc{MLD2P4 User's and Reference Guide}}
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{\textsc{References}}
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%\let\refname\relax
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%
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%\bibitem{PARA04FOREST}
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%G.~Bella, S.~Filippone, A.~De Maio, A., Testa, M.:
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%A Simulation Model for Forest Fires.
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%In: Dongarra, J., Madsen, K., Wasniewski, J. (eds.):
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%Proceedings of PARA~04 Workshop on State of the Art
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%in Scientific Computing. Lecture Notes in Computer Science, 3732. Berlin:
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%Springer, 2005
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%
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\bibitem{BREZINA_VANEK}
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M.~Brezina, P.~Van{\v e}k,
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{\em A Black-Box Iterative Solver Based on a Two-Level Schwarz Method},
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Computing, 63, 1999, 233--263.
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%
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\bibitem{para_04}
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A.~Buttari, P.~D'Ambra, D.~di Serafino, S.~Filippone,
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{\em Extending PSBLAS to Build Parallel Schwarz Preconditioners},
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in , J.~Dongarra, K.~Madsen, J.~Wasniewski, editors,
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Proceedings of PARA~04 Workshop on State of the Art
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in Scientific Computing, Lecture Notes in Computer Science,
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Springer, 2005, 593--602.
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%
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\bibitem{aaecc_07} A.~Buttari, P.~D'Ambra, D.~di~Serafino, S.~Filippone,
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{\em 2LEV-D2P4: a package of high-performance preconditioners
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for scientific and engineering applications},
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Applicable Algebra in Engineering, Communications and Computing,
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18, 3, 2007, 223--239.
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%Published online: 13 February 2007, {\tt http://dx.doi.org/10.1007/s00200-007-0035-z}
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%
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\bibitem{apnum_07} P.~D'Ambra, S.~Filippone, D.~di~Serafino,
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{\em On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners},
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Applied Numerical Mathematics, Elsevier Science,
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57, 11-12, 2007, 1181-1196.
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%published online 3 February 2007, {\tt
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% http://dx.doi.org/10.1016/j.apnum.2007.01.006}
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%% \bibitem{DOUGLAS}
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%% R.E.~Bank and C.C.~Douglas,
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%% {\em SMMP: Sparse Matrix Multiplication Package},
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%% Advances in Computational Mathematics, 1993, 1, 127-137.
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%% (See also {\tt http://www.mgnet.org/~douglas/ccd-codes.html})
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%
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%
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%% \bibitem{CAI_SAAD}
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%% X.~C.~Cai and Y.~Saad,
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%% {\em Overlapping Domain Decomposition Algorithms for General Sparse Matrices},
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%% Numerical Linear Algebra with Applications, 3(3), pp.~221--237, 1996.
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%
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\bibitem{CAI_SARKIS}
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X.~C.~Cai, M.~Sarkis,
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{\em A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems},
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SIAM Journal on Scientific Computing, 21, 2, 1999, 792--797.
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%
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\bibitem{Cai_Widlund_92}
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X.~C.~Cai, O.~B.~Widlund,
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{\em Domain Decomposition Algorithms for Indefinite Elliptic Problems},
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SIAM Journal on Scientific and Statistical Computing, 13, 1, 1992, 243--258.
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%
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\bibitem{dd1_94}
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T.~Chan and T.~Mathew,
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{\em Domain Decomposition Algorithms},
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in A.~Iserles, editor, Acta Numerica 1994, 61--143.
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Cambridge University Press.
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%
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%% \bibitem{MLD2P4_TOMS}
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%% P.~D'Ambra, D.~di~Serafino, S.~Filippone,
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%% \emph{MLD2P4: a Package of Parallel Multilevel
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%% Algebraic Domain Decomposition Preconditioners
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%% in Fortran 95},
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%% COMPLETARE.
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%
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\bibitem{UMFPACK}
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T.A.~Davis,
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{\em Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal
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Method with a Column Pre-ordering Strategy},
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ACM Transactions on Mathematical Software, 30, 2004, 196--199.
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(See also {\tt http://www.cise.ufl.edu/~davis/})
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%
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\bibitem{SUPERLU}
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J.W.~Demmel, S.C.~Eisenstat, J.R.~Gilbert, X.S.~Li and J.W.H.~Liu,
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A supernodal approach to sparse partial pivoting,
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SIAM Journal on Matrix Analysis and Applications, 20, 3, 1999, 720--755.
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%
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\bibitem{blas3}
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J.~J.~Dongarra, J.~Du Croz, I.~S.~Duff, S.~Hammarling,
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\emph{A set of Level 3 Basic Linear Algebra Subprograms},
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ACM Transactions on Mathematical Software, 16, 1990, 1--17.
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%
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\bibitem{blas2}
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J.~J.~Dongarra, J.~Du Croz, S.~Hammarling, R.~J.~Hanson,
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\emph{An extended set of FORTRAN Basic Linear Algebra Subprograms},
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ACM Transactions on Mathematical Software, 14, 1988, 1--17.
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%
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\bibitem{BLACS}
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J.~J.~Dongarra and R.~C.~Whaley,
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{\em A User's Guide to the BLACS v.~1.1},
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Lapack Working Note 94, Tech.\ Rep.\ UT-CS-95-281, University of
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Tennessee, March 1995 (updated May 1997).
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%
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%\bibitem{sblas_97}
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%I.~Duff, M.~Marrone, G.~Radicati and C.~Vittoli,
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%{\em Level 3 Basic Linear Algebra Subprograms for Sparse Matrices:
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%a User Level Interface},
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%ACM Transactions on Mathematical Software, 23(3), pp.~379--401, 1997.
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%
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%\bibitem{sblas_02}
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%I.~Duff, M.~Heroux and R.~Pozo,
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%{\em An Overview of the Sparse Basic Linear
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%Algebra Subprograms: the New Standard from the BLAS Technical Forum},
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%ACM Transactions on Mathematical Software, 28(2), pp.~239--267, 2002.
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%
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\bibitem{EFSTATHIOU}
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E.~Efstathiou, J.~G.~Gander,
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{\em Why Restricted Additive Schwarz Converges Faster than Additive Schwarz},
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BIT Numerical Mathematics, 43, 2003, 945--959.
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%
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\bibitem{PSBLASGUIDE}
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S.~Filippone, A.~Buttari,
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{\em PSBLAS-2.3 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library}, 2008,
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available from \texttt{http://www.ce.uniroma2.it/psblas/}.
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%
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\bibitem{psblas_00}
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S.~Filippone, M.~Colajanni,
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{\em PSBLAS: A Library for Parallel Linear Algebra
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Computation on Sparse Matrices},
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ACM Transactions on Mathematical Software, 26, 4, 2000, 527--550.
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%
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\bibitem{MPI2}
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W.~Gropp, S.~Huss-Lederman, A.~Lumsdaine, E.~Lusk, B.~Nitzberg, W.~Saphir, M.~Snir,
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{\em MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions},
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MIT Press, 1998.
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%
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\bibitem{blas1}
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C.~L.~Lawson, R.~J.~Hanson, D.~Kincaid, F.~T.~Krogh,
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\emph{Basic Linear Algebra Subprograms for FORTRAN usage},
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ACM Transactions on Mathematical Software, 5, 1979, 308--323.
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%
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\bibitem{SUPERLUDIST}
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X.~S.~Li, J.~W.~Demmel, {\em SuperLU\_DIST: A Scalable Distributed-memory
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Sparse Direct Solver for Unsymmetric Linear Systems},
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ACM Transactions on Mathematical Software, 29, 2, 2003, 110--140.
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%
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%\bibitem{KIVA3PSBLAS}
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%S.~Filippone, P.~D'Ambra, M.~Colajanni,
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%{\em Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics
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%Applications Code on Linux Clusters},
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%in G.~Joubert, A.~Murli, F.~Peters, M.~Vanneschi, editors,
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%Parallel Computing - Advances \& Current Issues,
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%pp.~441--448, Imperial College Press, 2002.
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%
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%\bibitem{METIS}
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%Karypis, G. and Kumar, V.,
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%{\em {METIS}: Unstructured Graph Partitioning and Sparse Matrix
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% Ordering System}.
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%Minneapolis, MN 55455: University of Minnesota, Department of
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% Computer Science, 1995.
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%Internet Address: {\verb|http://www.cs.umn.edu/~karypis|}.
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%\bibitem{BLAS1}
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%Lawson, C., Hanson, R., Kincaid, D. and Krogh, F.,
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% Basic {L}inear {A}lgebra {S}ubprograms for {F}ortran usage,
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%{ACM Trans. Math. Softw.} vol.~{5}, 38--329, 1979.
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%
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%\bibitem{machiels}
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%{Machiels, L. and Deville, M.}
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%{\em Fortran 90: An entry to object-oriented programming for the solution
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% of partial differential equations.}
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%{ACM Trans. Math. Softw.} vol.~{23}, 32--49.
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%\bibitem{metcalf}
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%{Metcalf, M., Reid, J. and Cohen, M.}
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%{\em Fortran 95/2003 explained.}
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%{Oxford University Press}, 2004.
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%
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\bibitem{Saad_book}
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Y.~Saad,
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\emph{Iterative methods for sparse linear systems}, 2nd edition,
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SIAM, 2003
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\bibitem{dd2_96}
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B.~Smith, P.~Bjorstad, W.~Gropp,
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{\em Domain Decomposition: Parallel Multilevel Methods for Elliptic
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Partial Differential Equations},
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Cambridge University Press, 1996.
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%
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\bibitem{MPI1}
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M.~Snir, S.~Otto, S.~Huss-Lederman, D.~Walker, J.~Dongarra,
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{\em MPI: The Complete Reference. Volume 1 - The MPI Core}, second edition,
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MIT Press, 1998.
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%%
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\bibitem{StubenGMD69_99}
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K.~St\"{u}ben,
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{\em Algebraic Multigrid (AMG): an Introduction with Applications},
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in A.~Sch\"{u}ller, U.~Trottenberg, C.~Oosterlee, editors, Multigrid,
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Academic Press, 2000.
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%
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\bibitem{TUMINARO_TONG}
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R.~S.~Tuminaro, C.~Tong,
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{\em Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines},
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in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.
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%
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\bibitem{VANEK_MANDEL_BREZINA}
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P.~Van{\v e}k, J.~Mandel and M.~Brezina,
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{\em Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems},
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Computing, 56, 1996, 179-196.
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%
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\end{thebibliography}
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