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<H2><A NAME="SECTION000120000000000000000">
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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="MUMPS">1</A>
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<DD>
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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</EM>,
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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</TT>.
<P></P><DT><A NAME="BREZINA_VANEK">2</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.
<P></P><DT><A NAME="Briggs2000">3</A>
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<DD>
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W. L. Briggs, V. E. Henson, S. F. McCormick,
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<EM>A Multigrid Tutorial, Second Edition</EM>,
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SIAM, 2000.
<P></P><DT><A NAME="para_04">4</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.
<P></P><DT><A NAME="aaecc_07">5</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>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.
<P></P><DT><A NAME="CAI_SARKIS">6</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.
<P></P><DT><A NAME="apnum_07">7</A>
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<DD>
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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</EM>,
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Applied Numerical Mathematics, Elsevier Science,
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57 (11-12), 2007, 1181-1196.
<P></P><DT><A NAME="MLD2P4_TOMS">8</A>
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<DD>
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P. D'Ambra, D. di Serafino, S. Filippone,
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<I>MLD2P4: a Package of Parallel Multilevel
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Algebraic Domain Decomposition Preconditioners
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in Fortran 95</I>, ACM Trans. Math. Softw., 37(3), 2010, art. 30.
<P></P><DT><A NAME="UMFPACK">9</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>)
<P></P><DT><A NAME="SUPERLU">10</A>
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<DD>
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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.
<P></P><DT><A NAME="blas3">11</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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<I>A set of Level 3 Basic Linear Algebra Subprograms</I>,
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ACM Transactions on Mathematical Software, 16 (1) 1990, 1-17.
<P></P><DT><A NAME="blas2">12</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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<I>An extended set of FORTRAN Basic Linear Algebra Subprograms</I>,
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ACM Transactions on Mathematical Software, 14 (1) 1988, 1-17.
<P></P><DT><A NAME="PSBLASGUIDE">13</A>
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<DD>
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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</EM>, 2012,
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available from <TT>http://www.ce.uniroma2.it/psblas/</TT>.
<P></P><DT><A NAME="PSBLAS3">14</A>
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<DD>
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S. Filippone, A. Buttari,
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<EM>Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003</EM>.
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ACM Transactions on on Mathematical Software, 38 (4), 2012, art. 23.
<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.
<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.
<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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<I>Basic Linear Algebra Subprograms for FORTRAN usage</I>,
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ACM Transactions on Mathematical Software, 5 (3), 1979, 308-323.
<P></P><DT><A NAME="SUPERLUDIST">18</A>
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<DD>
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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</EM>,
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ACM Transactions on Mathematical Software, 29 (2), 2003, 110-140.
<P></P><DT><A NAME="Notay2008">19</A>
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<DD>
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Y. Notay, P. S. Vassilevski,
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<EM>Recursive Krylov-based multigrid cycles</EM>,
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Numerical Linear Algebra with Applications, 15 (5), 2008, 473-487.
<P></P><DT><A NAME="Saad_book">20</A>
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<DD>
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Y. Saad,
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<EM>Iterative methods for sparse linear systems</EM>, 2nd edition, SIAM, 2003.
<P></P><DT><A NAME="dd2_96">21</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.
<P></P><DT><A NAME="MPI1">22</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.
<P></P><DT><A NAME="Stuben_01">23</A>
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<DD>
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K. Stüben,
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<EM>An Introduction to Algebraic Multigrid</EM>,
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in A. Schüller, U. Trottenberg, C. Oosterlee, Multigrid,
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Academic Press, 2001.
<P></P><DT><A NAME="TUMINARO_TONG">24</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>, in J. Donnelley, editor, Proceedings of SuperComputing 2000, Dallas, 2000.
<P></P><DT><A NAME="VANEK_MANDEL_BREZINA">25</A>
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<DD>
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P. Vanek, J. Mandel, 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 (3) 1996, 179-196.
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<P>
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</DL>
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