|
|
|
|
|
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"
|
|
|
|
|
|
"http://www.w3.org/TR/html4/loose.dtd">
|
|
|
|
|
|
<html >
|
|
|
|
|
|
<head><title>References</title>
|
|
|
|
|
|
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
|
|
|
|
|
|
<meta name="generator" content="TeX4ht (http://www.tug.org/tex4ht/)">
|
|
|
|
|
|
<meta name="originator" content="TeX4ht (http://www.tug.org/tex4ht/)">
|
|
|
|
|
|
<!-- html,3 -->
|
|
|
|
|
|
<meta name="src" content="userhtml.tex">
|
|
|
|
|
|
<link rel="stylesheet" type="text/css" href="userhtml.css">
|
|
|
|
|
|
</head><body
|
|
|
|
|
|
>
|
|
|
|
|
|
<!--l. 2--><div class="crosslinks"><p class="noindent"><span
|
|
|
|
|
|
class="cmbx-12">[</span><a
|
|
|
|
|
|
href="userhtmlse9.html" ><span
|
|
|
|
|
|
class="cmbx-12">prev</span></a><span
|
|
|
|
|
|
class="cmbx-12">] [</span><a
|
|
|
|
|
|
href="userhtmlse9.html#tailuserhtmlse9.html" ><span
|
|
|
|
|
|
class="cmbx-12">prev-tail</span></a><span
|
|
|
|
|
|
class="cmbx-12">] [</span><a
|
|
|
|
|
|
href="#tailuserhtmlli4.html"><span
|
|
|
|
|
|
class="cmbx-12">tail</span></a><span
|
|
|
|
|
|
class="cmbx-12">] [</span><a
|
|
|
|
|
|
href="userhtml.html#userhtmlli4.html" ><span
|
|
|
|
|
|
class="cmbx-12">up</span></a><span
|
|
|
|
|
|
class="cmbx-12">] </span></p></div>
|
|
|
|
|
|
<h3 class="likesectionHead"><a
|
|
|
|
|
|
id="x32-36000A"></a><span
|
|
|
|
|
|
class="cmbx-12">References</span></h3>
|
|
|
|
|
|
<!--l. 2--><p class="noindent" >
|
|
|
|
|
|
<a
|
|
|
|
|
|
id="Q1-32-51"></a>
|
|
|
|
|
|
<div class="thebibliography">
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[1]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XMUMPS"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> R.</span><span
|
|
|
|
|
|
class="cmbx-12"> Amestoy, C.</span><span
|
|
|
|
|
|
class="cmbx-12"> Ashcraft, O.</span><span
|
|
|
|
|
|
class="cmbx-12"> Boiteau, A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Buttari,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">J.</span><span
|
|
|
|
|
|
class="cmbx-12"> L’Excellent, C.</span><span
|
|
|
|
|
|
class="cmbx-12"> Weisbecker, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Improving multifrontal methods</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">by means of block low-rank representations</span><span
|
|
|
|
|
|
class="cmbx-12">, SIAM Journal on</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Scientific Computing, volume 37 (3), 2015, A1452–A1474. See also</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmtt-12">http://mumps.enseeiht.fr</span><span
|
|
|
|
|
|
class="cmbx-12">.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[2]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XBREZINA_VANEK"></a><span
|
|
|
|
|
|
class="cmbx-12">M.</span><span
|
|
|
|
|
|
class="cmbx-12"> Brezina, P.</span><span
|
|
|
|
|
|
class="cmbx-12"> Van</span><span
|
|
|
|
|
|
class="cmbx-12">ěk, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">A Black-Box Iterative Solver Based</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">on a Two-Level Schwarz Method</span><span
|
|
|
|
|
|
class="cmbx-12">, Computing, 63, 1999, 233–263.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[3]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XBriggs2000"></a><span
|
|
|
|
|
|
class="cmbx-12">W.</span><span
|
|
|
|
|
|
class="cmbx-12"> L.</span><span
|
|
|
|
|
|
class="cmbx-12"> Briggs, V.</span><span
|
|
|
|
|
|
class="cmbx-12"> E.</span><span
|
|
|
|
|
|
class="cmbx-12"> Henson, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> F.</span><span
|
|
|
|
|
|
class="cmbx-12"> McCormick, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">A Multigrid</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Tutorial, Second Edition</span><span
|
|
|
|
|
|
class="cmbx-12">, SIAM, 2000.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[4]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="Xpara_04"></a><span
|
|
|
|
|
|
class="cmbx-12">A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Buttari,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> di Serafino, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Extending PSBLAS</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">to Build Parallel Schwarz Preconditioners</span><span
|
|
|
|
|
|
class="cmbx-12">, in J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Dongarra,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">K.</span><span
|
|
|
|
|
|
class="cmbx-12"> Madsen, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Wasniewski, editors, Proceedings of PARA</span><span
|
|
|
|
|
|
class="cmbx-12"> 04</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Workshop on State of the Art in Scientific Computing, Lecture</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Notes in Computer Science, Springer, 2005, 593–602.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[5]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="Xaaecc_07"></a><span
|
|
|
|
|
|
class="cmbx-12">A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Buttari, P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> di</span><span
|
|
|
|
|
|
class="cmbx-12"> Serafino, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">2LEV-D2P4: a package of high-performance preconditioners</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">for scientific and engineering applications</span><span
|
|
|
|
|
|
class="cmbx-12">, Applicable Algebra</span>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">in Engineering, Communications and Computing, 18 (3) 2007,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">223–239.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[6]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XCAI_SARKIS"></a><span
|
|
|
|
|
|
class="cmbx-12">X.</span><span
|
|
|
|
|
|
class="cmbx-12"> C.</span><span
|
|
|
|
|
|
class="cmbx-12"> Cai, M.</span><span
|
|
|
|
|
|
class="cmbx-12"> Sarkis, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">A Restricted Additive Schwarz</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Preconditioner for General Sparse Linear Systems</span><span
|
|
|
|
|
|
class="cmbx-12">, SIAM</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Journal on Scientific Computing, 21 (2), 1999, 792–797.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[7]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span>
|
|
|
|
|
|
<a
|
|
|
|
|
|
id="Xapnum_07"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> di</span><span
|
|
|
|
|
|
class="cmbx-12"> Serafino, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">On the Development</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">of PSBLAS-based Parallel Two-level Schwarz Preconditioners</span><span
|
|
|
|
|
|
class="cmbx-12">,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Applied Numerical Mathematics, Elsevier Science, 57 (11-12),</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">2007, 1181-1196.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[8]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XMLD2P4_TOMS"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> di</span><span
|
|
|
|
|
|
class="cmbx-12"> Serafino, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">MLD2P4: a</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Package of Parallel Multilevel Algebraic Domain Decomposition</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Preconditioners in Fortran 95</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM Trans. Math. Softw., 37(3),</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">2010, art. 30.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[9]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XBDDF2007"></a><span
|
|
|
|
|
|
class="cmbx-12">A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Buttari, P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> di Serafino, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">2LEV-D2P4: a Package of High-Performance Preconditioners</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">for Scientific and Engineering Applications</span><span
|
|
|
|
|
|
class="cmbx-12">, Appl. Algebra</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Engrg. Comm. Comput., 18(3), 2007, 223–239.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[10]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XDDF2020"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, F</span><span
|
|
|
|
|
|
class="cmbx-12"> Durastante, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">AMG</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">preconditioners for Linear Solvers towards Extreme Scale</span><span
|
|
|
|
|
|
class="cmbx-12">, 2020,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">arXiv:2006.16147v2.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[11]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XUMFPACK"></a><span
|
|
|
|
|
|
class="cmbx-12">T.</span><span
|
|
|
|
|
|
class="cmbx-12"> A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Davis, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Algorithm</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">832: UMFPACK - an Unsymmetric-pattern Multifrontal Method</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">with a Column Pre-ordering Strategy</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM Transactions</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">on Mathematical Software, 30, 2004, 196–199. (See also</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmtt-12">http://www.cise.ufl.edu/~davis/</span><span
|
|
|
|
|
|
class="cmbx-12">)</span>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[12]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XSUPERLU"></a><span
|
|
|
|
|
|
class="cmbx-12">J.</span><span
|
|
|
|
|
|
class="cmbx-12"> W.</span><span
|
|
|
|
|
|
class="cmbx-12"> Demmel, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> C.</span><span
|
|
|
|
|
|
class="cmbx-12"> Eisenstat, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> R.</span><span
|
|
|
|
|
|
class="cmbx-12"> Gilbert, X.</span><span
|
|
|
|
|
|
class="cmbx-12"> S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Li,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">J.</span><span
|
|
|
|
|
|
class="cmbx-12"> W.</span><span
|
|
|
|
|
|
class="cmbx-12"> H.</span><span
|
|
|
|
|
|
class="cmbx-12"> Liu, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">A supernodal approach to sparse partial pivoting</span><span
|
|
|
|
|
|
class="cmbx-12">,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">720–755.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[13]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="Xblas3"></a><span
|
|
|
|
|
|
class="cmbx-12">J.</span><span
|
|
|
|
|
|
class="cmbx-12"> J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Dongarra, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Du Croz, I.</span><span
|
|
|
|
|
|
class="cmbx-12"> S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Duff, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Hammarling,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">A set of Level 3 Basic Linear Algebra Subprograms</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Transactions on Mathematical Software, 16 (1) 1990, 1–17.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[14]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span>
|
|
|
|
|
|
<a
|
|
|
|
|
|
id="Xblas2"></a><span
|
|
|
|
|
|
class="cmbx-12">J.</span><span
|
|
|
|
|
|
class="cmbx-12"> J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Dongarra, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Du Croz, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Hammarling, R.</span><span
|
|
|
|
|
|
class="cmbx-12"> J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Hanson, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">An</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">extended set of FORTRAN Basic Linear Algebra Subprograms</span><span
|
|
|
|
|
|
class="cmbx-12">,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">ACM Transactions on Mathematical Software, 14 (1) 1988, 1–17.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[15]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XPSBLASGUIDE"></a><span
|
|
|
|
|
|
class="cmbx-12">S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Buttari, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">PSBLAS 3.5.0 User’s Guide. A</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Reference</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Guide for the Parallel Sparse BLAS Library</span><span
|
|
|
|
|
|
class="cmbx-12">, 2012, available from</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmtt-12">https://github.com/sfilippone/psblas3/tree/master/docs</span><span
|
|
|
|
|
|
class="cmbx-12">.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[16]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XPSBLAS3"></a><span
|
|
|
|
|
|
class="cmbx-12">S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Buttari, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Object-Oriented Techniques for</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Sparse Matrix Computations in Fortran 2003</span><span
|
|
|
|
|
|
class="cmbx-12">. ACM Transactions</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">on on Mathematical Software, 38 (4), 2012, art.</span><span
|
|
|
|
|
|
class="cmbx-12"> 23.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[17]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="Xpsblas_00"></a><span
|
|
|
|
|
|
class="cmbx-12">S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone, M.</span><span
|
|
|
|
|
|
class="cmbx-12"> Colajanni, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">PSBLAS: A Library for Parallel</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Linear Algebra Computation on Sparse Matrices</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Transactions on Mathematical Software, 26 (4), 2000, 527–550.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[18]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XGrHeJi:16"></a><span
|
|
|
|
|
|
class="cmbx-12">S. Gratton, P. Henon, P. Jiranek and X. Vasseur, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Reducing</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">complexity of algebraic multigrid by aggregation</span><span
|
|
|
|
|
|
class="cmbx-12">, Numerical Lin.</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Algebra with Applications, 2016, 23:501-518</span>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[19]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XMPI2"></a><span
|
|
|
|
|
|
class="cmbx-12">W.</span><span
|
|
|
|
|
|
class="cmbx-12"> Gropp, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Huss-Lederman, A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Lumsdaine,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">E.</span><span
|
|
|
|
|
|
class="cmbx-12"> Lusk, B.</span><span
|
|
|
|
|
|
class="cmbx-12"> Nitzberg, W.</span><span
|
|
|
|
|
|
class="cmbx-12"> Saphir, M.</span><span
|
|
|
|
|
|
class="cmbx-12"> Snir, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">MPI: The Complete</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Reference. Volume 2 - The MPI-2 Extensions</span><span
|
|
|
|
|
|
class="cmbx-12">, MIT Press, 1998.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[20]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="Xblas1"></a><span
|
|
|
|
|
|
class="cmbx-12">C.</span><span
|
|
|
|
|
|
class="cmbx-12"> L.</span><span
|
|
|
|
|
|
class="cmbx-12"> Lawson, R.</span><span
|
|
|
|
|
|
class="cmbx-12"> J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Hanson, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> Kincaid, F.</span><span
|
|
|
|
|
|
class="cmbx-12"> T.</span><span
|
|
|
|
|
|
class="cmbx-12"> Krogh,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Basic Linear Algebra Subprograms for FORTRAN usage</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Transactions on Mathematical Software, 5 (3), 1979, 308–323.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[21]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XSUPERLUDIST"></a><span
|
|
|
|
|
|
class="cmbx-12">X.</span><span
|
|
|
|
|
|
class="cmbx-12"> S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Li, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> W.</span><span
|
|
|
|
|
|
class="cmbx-12"> Demmel,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">SuperLU</span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">_DIST: A Scalable Distributed-memory Sparse Direct</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Solver for Unsymmetric Linear Systems</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM Transactions on</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Mathematical Software, 29 (2), 2003, 110–140.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[22]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XNotay2008"></a><span
|
|
|
|
|
|
class="cmbx-12">Y.</span><span
|
|
|
|
|
|
class="cmbx-12"> Notay, P.</span><span
|
|
|
|
|
|
class="cmbx-12"> S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Vassilevski, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Recursive Krylov-based</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">multigrid cycles</span><span
|
|
|
|
|
|
class="cmbx-12">, Numerical Linear Algebra with Applications, 15</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">(5), 2008, 473–487.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[23]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XSaad_book"></a><span
|
|
|
|
|
|
class="cmbx-12">Y.</span><span
|
|
|
|
|
|
class="cmbx-12"> Saad, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Iterative methods for sparse linear systems</span><span
|
|
|
|
|
|
class="cmbx-12">, 2nd</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">edition, SIAM, 2003.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[24]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="Xdd2_96"></a><span
|
|
|
|
|
|
class="cmbx-12">B.</span><span
|
|
|
|
|
|
class="cmbx-12"> Smith, P.</span><span
|
|
|
|
|
|
class="cmbx-12"> Bjorstad, W.</span><span
|
|
|
|
|
|
class="cmbx-12"> Gropp, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Domain Decomposition:</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Parallel Multilevel Methods for Elliptic Partial Differential</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Equations</span><span
|
|
|
|
|
|
class="cmbx-12">, Cambridge University Press, 1996.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[25]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XMPI1"></a><span
|
|
|
|
|
|
class="cmbx-12">M.</span><span
|
|
|
|
|
|
class="cmbx-12"> Snir,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Otto, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Huss-Lederman, D.</span><span
|
|
|
|
|
|
class="cmbx-12"> Walker, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Dongarra, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">MPI: The</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Complete Reference. Volume 1 - The MPI Core</span><span
|
|
|
|
|
|
class="cmbx-12">, second edition,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">MIT Press, 1998.</span>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[26]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XStuben_01"></a><span
|
|
|
|
|
|
class="cmbx-12">K.</span><span
|
|
|
|
|
|
class="cmbx-12"> St</span><span
|
|
|
|
|
|
class="cmbx-12"><3E>ben, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">An Introduction to Algebraic Multigrid</span><span
|
|
|
|
|
|
class="cmbx-12">, in</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">A.</span><span
|
|
|
|
|
|
class="cmbx-12"> Sch</span><span
|
|
|
|
|
|
class="cmbx-12"><3E>ller, U.</span><span
|
|
|
|
|
|
class="cmbx-12"> Trottenberg, C.</span><span
|
|
|
|
|
|
class="cmbx-12"> Oosterlee, Multigrid, Academic</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">Press, 2001.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[27]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XTUMINARO_TONG"></a><span
|
|
|
|
|
|
class="cmbx-12">R.</span><span
|
|
|
|
|
|
class="cmbx-12"> S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Tuminaro,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">C.</span><span
|
|
|
|
|
|
class="cmbx-12"> Tong, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Parallel Smoothed Aggregation Multigrid: Aggregation</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Strategies on Massively Parallel Machines</span><span
|
|
|
|
|
|
class="cmbx-12">, in J. Donnelley,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">editor, Proceedings of SuperComputing 2000, Dallas, 2000.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[28]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XVANEK_MANDEL_BREZINA"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> Van</span><span
|
|
|
|
|
|
class="cmbx-12">ěk, J.</span><span
|
|
|
|
|
|
class="cmbx-12"> Mandel, M.</span><span
|
|
|
|
|
|
class="cmbx-12"> Brezina, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Algebraic Multigrid by</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Smoothed Aggregation for Second and Fourth Order Elliptic</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Problems</span><span
|
|
|
|
|
|
class="cmbx-12">, Computing, 56 (3) 1996, 179–196.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[29]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XDV2013"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra and P. S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Vassilevski, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">Adaptive AMG with</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">coarsening based on compatible weighted matching</span><span
|
|
|
|
|
|
class="cmbx-12">, Computing</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">and Visualization in Science, 16, (2013) 59–76.</span>
|
|
|
|
|
|
</p>
|
|
|
|
|
|
<p class="bibitem" ><span class="biblabel">
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">[30]</span><span class="bibsp"><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span><span
|
|
|
|
|
|
class="cmbx-12"> </span></span></span><a
|
|
|
|
|
|
id="XDFV2018"></a><span
|
|
|
|
|
|
class="cmbx-12">P.</span><span
|
|
|
|
|
|
class="cmbx-12"> D’Ambra, S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Filippone and P. S.</span><span
|
|
|
|
|
|
class="cmbx-12"> Vassilevski, </span><span
|
|
|
|
|
|
class="cmbxti-10x-x-120">BootCMatch:</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">a software package for bootstrap AMG based on graph weighted</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbxti-10x-x-120">matching</span><span
|
|
|
|
|
|
class="cmbx-12">, ACM Transactions on Mathematical Software, 44,</span>
|
|
|
|
|
|
<span
|
|
|
|
|
|
class="cmbx-12">(2018) 39:1–39:25.</span></p></div>
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<!--l. 145--><div class="crosslinks"><p class="noindent"><span
|
|
|
|
|
|
class="cmbx-12">[</span><a
|
|
|
|
|
|
href="userhtmlse9.html" ><span
|
|
|
|
|
|
class="cmbx-12">prev</span></a><span
|
|
|
|
|
|
class="cmbx-12">] [</span><a
|
|
|
|
|
|
href="userhtmlse9.html#tailuserhtmlse9.html" ><span
|
|
|
|
|
|
class="cmbx-12">prev-tail</span></a><span
|
|
|
|
|
|
class="cmbx-12">] [</span><a
|
|
|
|
|
|
href="userhtmlli4.html" ><span
|
|
|
|
|
|
class="cmbx-12">front</span></a><span
|
|
|
|
|
|
class="cmbx-12">] [</span><a
|
|
|
|
|
|
href="userhtml.html#userhtmlli4.html" ><span
|
|
|
|
|
|
class="cmbx-12">up</span></a><span
|
|
|
|
|
|
class="cmbx-12">] </span></p></div>
|
|
|
|
|
|
<!--l. 145--><p class="indent" > <a
|
|
|
|
|
|
id="tailuserhtmlli4.html"></a>
|
|
|
|
|
|
</body></html>
|
