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172 lines
6.3 KiB
TeX
172 lines
6.3 KiB
TeX
%\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{MUMPS}
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P.~R.~Amestoy, C.~Ashcraft, O.~Boiteau, A.~Buttari, J.~L'Excellent, C.~Weisbecker,
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{\em Improving multifrontal methods by means of block low-rank representations},
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SIAM Journal on Scientific Computing, volume 37 (3), 2015, A1452--A1474.
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See also {\tt http://mumps.enseeiht.fr}.
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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{Briggs2000}
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W.~L.~Briggs, V.~E.~Henson, S.~F.~McCormick,
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{\em A Multigrid Tutorial, Second Edition},
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SIAM, 2000.
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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}
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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{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{apnum_07}
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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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%
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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}, ACM Trans. Math. Softw., 37(3), 2010, art. 30.
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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, 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 (1) 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 (1) 1988, 1--17.
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%
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%\bibitem{BLACS}
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%J.~J.~Dongarra, 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{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 (5), 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-3.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library}, 2012,
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available from \texttt{http://www.ce.uniroma2.it/psblas/}.
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%
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\bibitem{PSBLAS3}
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S.~Filippone, A.~Buttari,
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{\em Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003}.
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ACM Transactions on on Mathematical Software, 38 (4), 2012, art.~23.
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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 (3), 1979, 308--323.
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%
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\bibitem{SUPERLUDIST}
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X.~S.~Li, J.~W.~Demmel,
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{\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{Notay2008}
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Y.~Notay, P.~S.~Vassilevski,
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{\em Recursive Krylov-based multigrid cycles},
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Numerical Linear Algebra with Applications, 15 (5), 2008, 473--487.
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%
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\bibitem{Saad_book}
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Y.~Saad,
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{\em Iterative methods for sparse linear systems}, 2nd edition, SIAM, 2003.
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%
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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{Stuben_01}
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K.~St\"{u}ben,
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{\em An Introduction to Algebraic Multigrid},
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in A.~Sch\"{u}ller, U.~Trottenberg, C.~Oosterlee, Multigrid,
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Academic Press, 2001.
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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}, 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, 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 (3) 1996, 179--196.
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\end{thebibliography}
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