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<H2><A NAME="SECTION000110000000000000000">
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Bibliography</A>
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</H2><DL COMPACT><DD>
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<P>
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<P></P><DT><A NAME="BREZINA_VANEK">1</A>
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<DD>
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M. Brezina, P. Vanek,
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<EM>A Black-Box Iterative Solver Based on a Two-Level Schwarz Method</EM>,
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Computing, 63, 1999, 233-263.
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<P></P><DT><A NAME="para_04">2</A>
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<DD>
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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</EM>,
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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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<P></P><DT><A NAME="aaecc_07">3</A>
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<DD> 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</EM>,
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Applicable Algebra in Engineering, Communications and Computing,
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18, 3, 2007, 223-239.
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<P></P><DT><A NAME="apnum_07">4</A>
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<DD> P. D'Ambra, S. Filippone, D. di Serafino,
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<EM>On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners</EM>,
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Applied Numerical Mathematics, Elsevier Science,
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57, 11-12, 2007, 1181-1196.
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<P>
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<P></P><DT><A NAME="CAI_SARKIS">5</A>
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<DD>
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X. C. Cai, M. Sarkis,
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<EM>A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems</EM>,
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SIAM Journal on Scientific Computing, 21, 2, 1999, 792-797.
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<P></P><DT><A NAME="Cai_Widlund_92">6</A>
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<DD>
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X. C. Cai, O. B. Widlund,
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<EM>Domain Decomposition Algorithms for Indefinite Elliptic Problems</EM>,
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SIAM Journal on Scientific and Statistical Computing, 13, 1, 1992, 243-258.
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<P></P><DT><A NAME="dd1_94">7</A>
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<DD>
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T. Chan and T. Mathew,
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<EM>Domain Decomposition Algorithms</EM>,
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in A. Iserles, editor, Acta Numerica 1994, 61-143.
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Cambridge University Press.
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<P></P><DT><A NAME="UMFPACK">8</A>
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<DD>
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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</EM>,
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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/</TT>)
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<P></P><DT><A NAME="SUPERLU">9</A>
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<DD>
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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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<P></P><DT><A NAME="blas3">10</A>
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<DD>
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J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling,
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<SPAN CLASS="textit">A set of Level 3 Basic Linear Algebra Subprograms</SPAN>,
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ACM Transactions on Mathematical Software, 16, 1990, 1-17.
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<P></P><DT><A NAME="blas2">11</A>
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<DD>
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J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson,
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<SPAN CLASS="textit">An extended set of FORTRAN Basic Linear Algebra Subprograms</SPAN>,
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ACM Transactions on Mathematical Software, 14, 1988, 1-17.
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<P></P><DT><A NAME="BLACS">12</A>
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<DD>
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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</EM>,
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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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<P></P><DT><A NAME="EFSTATHIOU">13</A>
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<DD>
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E. Efstathiou, J. G. Gander,
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<EM>Why Restricted Additive Schwarz Converges Faster than Additive Schwarz</EM>,
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BIT Numerical Mathematics, 43, 2003, 945-959.
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<P></P><DT><A NAME="PSBLASGUIDE">14</A>
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<DD>
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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</EM>,
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available from <TT>http://www.ce.uniroma2.it/psblas/</TT>.
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<P></P><DT><A NAME="psblas_00">15</A>
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<DD>
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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</EM>,
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ACM Transactions on Mathematical Software, 26, 4, 2000, 527-550.
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<P></P><DT><A NAME="MPI2">16</A>
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<DD>
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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</EM>,
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MIT Press, 1998.
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<P></P><DT><A NAME="blas1">17</A>
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<DD>
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C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh,
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<SPAN CLASS="textit">Basic Linear Algebra Subprograms for FORTRAN usage</SPAN>,
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ACM Transactions on Mathematical Software, 5, 1979, 308-323.
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<P></P><DT><A NAME="SUPERLUDIST">18</A>
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<DD>
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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</EM>,
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ACM Transactions on Mathematical Software, 29, 2, 2003, 110-140.
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<P></P><DT><A NAME="Saad_book">19</A>
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<DD>
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Y. Saad,
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<SPAN CLASS="textit">Iterative methods for sparse linear systems</SPAN>, 2nd edition,
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SIAM, 2003
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<P>
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<P></P><DT><A NAME="dd2_96">20</A>
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<DD>
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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</EM>,
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Cambridge University Press, 1996.
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<P></P><DT><A NAME="MPI1">21</A>
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<DD>
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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</EM>, second edition,
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MIT Press, 1998.
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<P></P><DT><A NAME="StubenGMD69_99">22</A>
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<DD>
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K. Stüben,
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<EM>Algebraic Multigrid (AMG): an Introduction with Applications</EM>,
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in A. Schüller, U. Trottenberg, C. Oosterlee, editors, Multigrid,
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Academic Press, 2000.
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<P></P><DT><A NAME="TUMINARO_TONG">23</A>
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<DD>
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R. S. Tuminaro, C. Tong,
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<EM>Parallel Smoothed Aggregation Multigrid: Aggregation Strategies on Massively Parallel Machines</EM>,
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in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.
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<P></P><DT><A NAME="VANEK_MANDEL_BREZINA">24</A>
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<DD>
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P. Vanek, J. Mandel and M. Brezina,
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<EM>Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems</EM>,
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Computing, 56, 1996, 179-196.
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<P>
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</DL>
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<P>
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<BR><HR>
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<ADDRESS>
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Salvatore Filippone
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2008-07-23
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</ADDRESS>
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