<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN"> <!--Converted with LaTeX2HTML 2018 (Released Feb 1, 2018) --> <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 v2018"> <META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css"> <LINK REL="STYLESHEET" HREF="userhtml.css"> <LINK REL="next" HREF="node37.html"> <LINK REL="previous" HREF="node35.html"> <LINK REL="up" HREF="userhtml.html"> <LINK REL="next" HREF="node37.html"> </HEAD> <BODY > <DIV CLASS="navigation"><!--Navigation Panel--> <A NAME="tex2html537" HREF="node37.html"> <IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A> <A NAME="tex2html533" HREF="userhtml.html"> <IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A> <A NAME="tex2html527" HREF="node35.html"> <IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A> <A NAME="tex2html535" HREF="node2.html"> <IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A> <BR> <B> Next:</B> <A NAME="tex2html538" HREF="node37.html">About this document ...</A> <B> Up:</B> <A NAME="tex2html534" HREF="userhtml.html">userhtml</A> <B> Previous:</B> <A NAME="tex2html528" HREF="node35.html">License</A> <B> <A NAME="tex2html536" HREF="node2.html">Contents</A></B> <BR><BR></DIV> <!--End of Navigation Panel--> </BIG></BIG></BIG> <H2><A NAME="SECTION000120000000000000000"> Bibliography</A> </H2><DL COMPACT><DD> <P> <P></P><DT><A NAME="MUMPS">1</A> <DD> P. R. Amestoy, C. Ashcraft, O. Boiteau, A. Buttari, J. L'Excellent, C. Weisbecker, <EM>Improving multifrontal methods by means of block low-rank representations</EM>, SIAM Journal on Scientific Computing, volume 37 (3), 2015, A1452-A1474. See also <TT>http://mumps.enseeiht.fr</TT>. <P></P><DT><A NAME="BREZINA_VANEK">2</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="Briggs2000">3</A> <DD> W. L. Briggs, V. E. Henson, S. F. McCormick, <EM>A Multigrid Tutorial, Second Edition</EM>, SIAM, 2000. <P></P><DT><A NAME="para_04">4</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">5</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="CAI_SARKIS">6</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="apnum_07">7</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><DT><A NAME="MLD2P4_TOMS">8</A> <DD> P. D'Ambra, D. di Serafino, S. Filippone, <SPAN CLASS="textit">MLD2P4: a Package of Parallel Multilevel Algebraic Domain Decomposition Preconditioners in Fortran 95</SPAN>, ACM Trans. Math. Softw., 37(3), 2010, art. 30. <P></P><DT><A NAME="UMFPACK">9</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">10</A> <DD> J. W. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li, J. W. H. Liu, <EM>A supernodal approach to sparse partial pivoting</EM>, SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 720-755. <P></P><DT><A NAME="blas3">11</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 (1) 1990, 1-17. <P></P><DT><A NAME="blas2">12</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 (1) 1988, 1-17. <P></P><DT><A NAME="PSBLASGUIDE">13</A> <DD> S. Filippone, A. Buttari, <EM>PSBLAS 3.5.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library</EM>, 2012, available from <TT>https://github.com/sfilippone/psblas3/tree/master/docs</TT>. <P></P><DT><A NAME="PSBLAS3">14</A> <DD> S. Filippone, A. Buttari, <EM>Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003</EM>. ACM Transactions on on Mathematical Software, 38 (4), 2012, art. 23. <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="GrHeJi:16">16</A> <DD> S. Gratton, P. Henon, P. Jiranek and X. Vasseur, <EM>Reducing complexity of algebraic multigrid by aggregation</EM>, Numerical Lin. Algebra with Applications, 2016, 23:501-518 <P> <P></P><DT><A NAME="MPI2">17</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">18</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 (3), 1979, 308-323. <P></P><DT><A NAME="SUPERLUDIST">19</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="Notay2008">20</A> <DD> Y. Notay, P. S. Vassilevski, <EM>Recursive Krylov-based multigrid cycles</EM>, Numerical Linear Algebra with Applications, 15 (5), 2008, 473-487. <P></P><DT><A NAME="Saad_book">21</A> <DD> Y. Saad, <EM>Iterative methods for sparse linear systems</EM>, 2nd edition, SIAM, 2003. <P></P><DT><A NAME="dd2_96">22</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">23</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="Stuben_01">24</A> <DD> K. Stüben, <EM>An Introduction to Algebraic Multigrid</EM>, in A. Schüller, U. Trottenberg, C. Oosterlee, Multigrid, Academic Press, 2001. <P></P><DT><A NAME="TUMINARO_TONG">25</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">26</A> <DD> P. Vanek, J. Mandel, M. Brezina, <EM>Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems</EM>, Computing, 56 (3) 1996, 179-196. <P> </DL><BIG CLASS="LARGE"><BIG CLASS="LARGE"><BIG CLASS="LARGE"> </BIG></BIG></BIG> <P> <BIG CLASS="LARGE"><BIG CLASS="LARGE"></BIG></BIG><BR><HR> </BODY> </HTML>