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