<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <!--Converted with LaTeX2HTML 2002-2-1 (1.71) original version by: Nikos Drakos, CBLU, University of Leeds * revised and updated by: Marcus Hennecke, Ross Moore, Herb Swan * with significant contributions from: Jens Lippmann, Marek Rouchal, Martin Wilck and others --> <HTML> <HEAD> <TITLE>Bibliography</TITLE> <META NAME="description" CONTENT="Bibliography"> <META NAME="keywords" CONTENT="userhtml"> <META NAME="resource-type" CONTENT="document"> <META NAME="distribution" CONTENT="global"> <META NAME="Generator" CONTENT="LaTeX2HTML v2002-2-1"> <META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css"> <LINK REL="STYLESHEET" HREF="userhtml.css"> <LINK REL="next" HREF="node31.html"> <LINK REL="previous" HREF="node29.html"> <LINK REL="up" HREF="userhtml.html"> <LINK REL="next" HREF="node31.html"> </HEAD> <BODY > <DIV CLASS="navigation"><!--Navigation Panel--> <A NAME="tex2html429" HREF="node31.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="file:/usr/share/latex2html/icons/next.png"></A> <A NAME="tex2html425" HREF="userhtml.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="file:/usr/share/latex2html/icons/up.png"></A> <A NAME="tex2html419" HREF="node29.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="file:/usr/share/latex2html/icons/prev.png"></A> <A NAME="tex2html427" HREF="node2.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="file:/usr/share/latex2html/icons/contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html430" HREF="node31.html">About this document ...</A> <B> Up:</B> <A NAME="tex2html426" HREF="userhtml.html">userhtml</A> <B> Previous:</B> <A NAME="tex2html420" HREF="node29.html">License</A> <B> <A NAME="tex2html428" HREF="node2.html">Contents</A></B> <BR><BR></DIV> <!--End of Navigation Panel--> <H2><A NAME="SECTION000110000000000000000"> Bibliography</A> </H2><DL COMPACT><DD> <P> <P></P><DT><A NAME="BREZINA_VANEK">1</A> <DD> M. Brezina, P. Vanek, <EM>A Black-Box Iterative Solver Based on a Two-Level Schwarz Method</EM>, Computing, 63, 1999, 233-263. <P></P><DT><A NAME="para_04">2</A> <DD> A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, <EM>Extending PSBLAS to Build Parallel Schwarz Preconditioners</EM>, in , J. Dongarra, K. Madsen, J. Wasniewski, editors, Proceedings of PARA 04 Workshop on State of the Art in Scientific Computing, Lecture Notes in Computer Science, Springer, 2005, 593-602. <P></P><DT><A NAME="aaecc_07">3</A> <DD> A. Buttari, P. D'Ambra, D. di Serafino, S. Filippone, <EM>2LEV-D2P4: a package of high-performance preconditioners for scientific and engineering applications</EM>, Applicable Algebra in Engineering, Communications and Computing, 18, 3, 2007, 223-239. <P></P><DT><A NAME="apnum_07">4</A> <DD> P. D'Ambra, S. Filippone, D. di Serafino, <EM>On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners</EM>, Applied Numerical Mathematics, Elsevier Science, 57, 11-12, 2007, 1181-1196. <P> <P></P><DT><A NAME="CAI_SARKIS">5</A> <DD> X. C. Cai, M. Sarkis, <EM>A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems</EM>, SIAM Journal on Scientific Computing, 21, 2, 1999, 792-797. <P></P><DT><A NAME="Cai_Widlund_92">6</A> <DD> X. C. Cai, O. B. Widlund, <EM>Domain Decomposition Algorithms for Indefinite Elliptic Problems</EM>, SIAM Journal on Scientific and Statistical Computing, 13, 1, 1992, 243-258. <P></P><DT><A NAME="dd1_94">7</A> <DD> T. Chan and T. Mathew, <EM>Domain Decomposition Algorithms</EM>, in A. Iserles, editor, Acta Numerica 1994, 61-143. Cambridge University Press. <P></P><DT><A NAME="UMFPACK">8</A> <DD> T.A. Davis, <EM>Algorithm 832: UMFPACK - an Unsymmetric-pattern Multifrontal Method with a Column Pre-ordering Strategy</EM>, ACM Transactions on Mathematical Software, 30, 2004, 196-199. (See also <TT>http://www.cise.ufl.edu/ davis/</TT>) <P></P><DT><A NAME="SUPERLU">9</A> <DD> 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, 1999, 720-755. <P></P><DT><A NAME="blas3">10</A> <DD> J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling, <SPAN CLASS="textit">A set of Level 3 Basic Linear Algebra Subprograms</SPAN>, ACM Transactions on Mathematical Software, 16, 1990, 1-17. <P></P><DT><A NAME="blas2">11</A> <DD> J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson, <SPAN CLASS="textit">An extended set of FORTRAN Basic Linear Algebra Subprograms</SPAN>, ACM Transactions on Mathematical Software, 14, 1988, 1-17. <P></P><DT><A NAME="BLACS">12</A> <DD> J. J. Dongarra and R. C. Whaley, <EM>A User's Guide to the BLACS v. 1.1</EM>, Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of Tennessee, March 1995 (updated May 1997). <P></P><DT><A NAME="EFSTATHIOU">13</A> <DD> E. Efstathiou, J. G. Gander, <EM>Why Restricted Additive Schwarz Converges Faster than Additive Schwarz</EM>, BIT Numerical Mathematics, 43, 2003, 945-959. <P></P><DT><A NAME="PSBLASGUIDE">14</A> <DD> S. Filippone, A. Buttari, <EM>PSBLAS-2.3 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library</EM>, available from <TT>http://www.ce.uniroma2.it/psblas/</TT>. <P></P><DT><A NAME="psblas_00">15</A> <DD> S. Filippone, M. Colajanni, <EM>PSBLAS: A Library for Parallel Linear Algebra Computation on Sparse Matrices</EM>, ACM Transactions on Mathematical Software, 26, 4, 2000, 527-550. <P></P><DT><A NAME="MPI2">16</A> <DD> W. Gropp, S. Huss-Lederman, A. Lumsdaine, E. Lusk, B. Nitzberg, W. Saphir, M. Snir, <EM>MPI: The Complete Reference. Volume 2 - The MPI-2 Extensions</EM>, MIT Press, 1998. <P></P><DT><A NAME="blas1">17</A> <DD> C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh, <SPAN CLASS="textit">Basic Linear Algebra Subprograms for FORTRAN usage</SPAN>, ACM Transactions on Mathematical Software, 5, 1979, 308-323. <P></P><DT><A NAME="SUPERLUDIST">18</A> <DD> X. S. Li, J. W. Demmel, <EM>SuperLU_DIST: A Scalable Distributed-memory Sparse Direct Solver for Unsymmetric Linear Systems</EM>, ACM Transactions on Mathematical Software, 29, 2, 2003, 110-140. <P></P><DT><A NAME="Saad_book">19</A> <DD> Y. Saad, <SPAN CLASS="textit">Iterative methods for sparse linear systems</SPAN>, 2nd edition, SIAM, 2003 <P> <P></P><DT><A NAME="dd2_96">20</A> <DD> B. Smith, P. Bjorstad, W. Gropp, <EM>Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations</EM>, Cambridge University Press, 1996. <P></P><DT><A NAME="MPI1">21</A> <DD> M. Snir, S. Otto, S. Huss-Lederman, D. Walker, J. Dongarra, <EM>MPI: The Complete Reference. Volume 1 - The MPI Core</EM>, second edition, MIT Press, 1998. <P></P><DT><A NAME="StubenGMD69_99">22</A> <DD> K. Stüben, <EM>Algebraic Multigrid (AMG): an Introduction with Applications</EM>, in A. Schüller, U. Trottenberg, C. Oosterlee, editors, Multigrid, Academic Press, 2000. <P></P><DT><A NAME="TUMINARO_TONG">23</A> <DD> R. S. Tuminaro, C. Tong, <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">24</A> <DD> P. Vanek, J. Mandel and M. Brezina, <EM>Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems</EM>, Computing, 56, 1996, 179-196. <P> </DL> <P> <BR><HR> <ADDRESS> Salvatore Filippone 2008-07-23 </ADDRESS> </BODY> </HTML>