|
|
|
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 3.2 Final//EN">
|
|
|
|
|
|
|
|
|
|
<!--Converted with LaTeX2HTML 2012 (1.2)
|
|
|
|
|
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 v2012">
|
|
|
|
|
<META HTTP-EQUIV="Content-Style-Type" CONTENT="text/css">
|
|
|
|
|
|
|
|
|
|
<LINK REL="STYLESHEET" HREF="userhtml.css">
|
|
|
|
|
|
|
|
|
|
<LINK REL="next" HREF="node28.html">
|
|
|
|
|
<LINK REL="previous" HREF="node26.html">
|
|
|
|
|
<LINK REL="up" HREF="userhtml.html">
|
|
|
|
|
<LINK REL="next" HREF="node28.html">
|
|
|
|
|
</HEAD>
|
|
|
|
|
|
|
|
|
|
<BODY >
|
|
|
|
|
<!--Navigation Panel-->
|
|
|
|
|
<A NAME="tex2html405"
|
|
|
|
|
HREF="node28.html">
|
|
|
|
|
<IMG WIDTH="37" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="next" SRC="next.png"></A>
|
|
|
|
|
<A NAME="tex2html401"
|
|
|
|
|
HREF="userhtml.html">
|
|
|
|
|
<IMG WIDTH="26" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="up" SRC="up.png"></A>
|
|
|
|
|
<A NAME="tex2html395"
|
|
|
|
|
HREF="node26.html">
|
|
|
|
|
<IMG WIDTH="63" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="previous" SRC="prev.png"></A>
|
|
|
|
|
<A NAME="tex2html403"
|
|
|
|
|
HREF="node2.html">
|
|
|
|
|
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents" SRC="contents.png"></A>
|
|
|
|
|
<BR>
|
|
|
|
|
<B> Next:</B> <A NAME="tex2html406"
|
|
|
|
|
HREF="node28.html">About this document ...</A>
|
|
|
|
|
<B> Up:</B> <A NAME="tex2html402"
|
|
|
|
|
HREF="userhtml.html">userhtml</A>
|
|
|
|
|
<B> Previous:</B> <A NAME="tex2html396"
|
|
|
|
|
HREF="node26.html">License</A>
|
|
|
|
|
<B> <A NAME="tex2html404"
|
|
|
|
|
HREF="node2.html">Contents</A></B>
|
|
|
|
|
<BR><BR>
|
|
|
|
|
<!--End of Navigation Panel-->
|
|
|
|
|
|
|
|
|
|
<H2><A NAME="SECTION000120000000000000000">
|
|
|
|
|
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="Briggs2000">2</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">3</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">4</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">5</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="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="Cai_Widlund_92">7</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">8</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="MLD2P4_TOMS">9</A>
|
|
|
|
|
<DD>
|
|
|
|
|
P. D'Ambra, D. di Serafino, S. Filippone,
|
|
|
|
|
<I>MLD2P4: a Package of Parallel Multilevel
|
|
|
|
|
Algebraic Domain Decomposition Preconditioners
|
|
|
|
|
in Fortran 95</I>, ACM Trans. Math. Softw., 37(3), 2010, art. 30.
<P></P><DT><A NAME="UMFPACK">10</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="MUMPS">11</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="SUPERLU">12</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">13</A>
|
|
|
|
|
<DD>
|
|
|
|
|
J. J. Dongarra, J. Du Croz, I. S. Duff, S. Hammarling,
|
|
|
|
|
<I>A set of Level 3 Basic Linear Algebra Subprograms</I>,
|
|
|
|
|
ACM Transactions on Mathematical Software, 16 (1) 1990, 1-17.
<P></P><DT><A NAME="blas2">14</A>
|
|
|
|
|
<DD>
|
|
|
|
|
J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson,
|
|
|
|
|
<I>An extended set of FORTRAN Basic Linear Algebra Subprograms</I>,
|
|
|
|
|
ACM Transactions on Mathematical Software, 14 (1) 1988, 1-17.
<P></P><DT><A NAME="BLACS">15</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">16</A>
|
|
|
|
|
<DD>
|
|
|
|
|
E. Efstathiou, J. G. Gander,
|
|
|
|
|
<EM>Why Restricted Additive Schwarz Converges Faster than Additive Schwarz</EM>,
|
|
|
|
|
BIT Numerical Mathematics, 43 (5), 2003, 945-959.
<P></P><DT><A NAME="PSBLASGUIDE">17</A>
|
|
|
|
|
<DD>
|
|
|
|
|
S. Filippone, A. Buttari,
|
|
|
|
|
<EM>PSBLAS-3.0 User's Guide. A Reference Guide for the Parallel Sparse BLAS Library</EM>, 2012,
|
|
|
|
|
available from <TT>http://www.ce.uniroma2.it/psblas/</TT>.
<P></P><DT><A NAME="PSBLAS3">18</A>
|
|
|
|
|
<DD>
|
|
|
|
|
Salvatore Filippone and Alfredo 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">19</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">20</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">21</A>
|
|
|
|
|
<DD>
|
|
|
|
|
C. L. Lawson, R. J. Hanson, D. Kincaid, F. T. Krogh,
|
|
|
|
|
<I>Basic Linear Algebra Subprograms for FORTRAN usage</I>,
|
|
|
|
|
ACM Transactions on Mathematical Software, 5 (3), 1979, 308-323.
<P></P><DT><A NAME="SUPERLUDIST">22</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">23</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">24</A>
|
|
|
|
|
<DD>
|
|
|
|
|
Y. Saad,
|
|
|
|
|
<EM>Iterative methods for sparse linear systems</EM>, 2nd edition, SIAM, 2003.
<P></P><DT><A NAME="dd2_96">25</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">26</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">27</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">28</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">29</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 (3) 1996, 179-196.
|
|
|
|
|
<P>
|
|
|
|
|
</DL>
|
|
|
|
|
|
|
|
|
|
<P>
|
|
|
|
|
<BR><HR>
|
|
|
|
|
|
|
|
|
|
</BODY>
|
|
|
|
|
</HTML>
|
