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<h3 class="likesectionHead"><a
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class="cmr-12">References</span></h3>
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<p class="bibitem" ><span class="biblabel">
<span
class="cmr-12">[1]</span><span class="bibsp"><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
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class="cmr-12">&#x00A0;</span></span></span><a
id="XPCFD2006"></a><span
class="cmr-12">A. Aprovitola, P. D&#8217;Ambra, F. Denaro, D. di Serafino, S. Filippone,</span>
<span
class="cmti-12">Scalable algebraic multilevel preconditioners with application to CFD</span><span
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<span
class="cmr-12">of CFD 2008, LNCSE, 74, (2010), 15&#8211;27.</span>
</p>
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class="cmr-12">[2]</span><span class="bibsp"><span
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id="XMUMPS"></a><span
class="cmr-12">P.</span><span
class="cmr-12">&#x00A0;R.</span><span
class="cmr-12">&#x00A0;Amestoy, C.</span><span
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class="cmti-12">representations</span><span
class="cmr-12">, SIAM Journal on Scientific Computing, volume 37 (3), 2015,</span>
<span
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class="cmr-12">A1452&#8211;A1474. See also </span><span
class="cmtt-12">http://mumps.enseeiht.fr</span><span
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class="cmr-12">.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XBERTACCINIFILIPPONE"></a><span
class="cmr-12">D. Bertaccini</span><span
class="cmr-12">&#x00A0;and</span><span
class="cmr-12">&#x00A0;S. Filippone, </span><span
class="cmti-12">Sparse approximate inverse</span>
<span
class="cmti-12">preconditioners on high performance GPU platforms</span><span
update
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class="cmr-12">, Comput. Math. Appl.,</span>
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<span
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class="cmr-12">&#x00A0;3, 693&#8211;711.</span>
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<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XBREZINA_VANEK"></a><span
class="cmr-12">M.</span><span
class="cmr-12">&#x00A0;Brezina, P.</span><span
class="cmr-12">&#x00A0;Van</span><span
class="cmr-12">&#x011B;k, </span><span
class="cmti-12">A Black-Box Iterative Solver Based on a</span>
<span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XBriggs2000"></a><span
class="cmr-12">W.</span><span
class="cmr-12">&#x00A0;L.</span><span
class="cmr-12">&#x00A0;Briggs, V.</span><span
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class="cmr-12">&#x00A0;F.</span><span
class="cmr-12">&#x00A0;McCormick, </span><span
class="cmti-12">A Multigrid Tutorial,</span>
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<span
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class="cmr-12">[6]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="Xpara_04"></a><span
class="cmr-12">A.</span><span
class="cmr-12">&#x00A0;Buttari, P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, D.</span><span
class="cmr-12">&#x00A0;di Serafino, S.</span><span
class="cmr-12">&#x00A0;Filippone, </span><span
class="cmti-12">Extending</span>
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class="cmti-12">PSBLAS to Build Parallel Schwarz Preconditioners</span><span
class="cmr-12">, in J.</span><span
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update
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<span
class="cmr-12">K.</span><span
class="cmr-12">&#x00A0;Madsen, J.</span><span
class="cmr-12">&#x00A0;Wasniewski, editors, Proceedings of PARA</span><span
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class="cmr-12">Springer, 2005, 593&#8211;602.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[7]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="Xaaecc_07"></a><span
class="cmr-12">A.</span><span
class="cmr-12">&#x00A0;Buttari, P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, D.</span><span
class="cmr-12">&#x00A0;di</span><span
class="cmr-12">&#x00A0;Serafino, S.</span><span
class="cmr-12">&#x00A0;Filippone, </span><span
class="cmti-12">2LEV-D2P4: a</span>
<span
class="cmti-12">package of high-performance preconditioners for scientific and engineering</span>
<span
class="cmti-12">applications</span><span
class="cmr-12">, Applicable Algebra in Engineering, Communications and</span>
<span
class="cmr-12">Computing, 18 (3) 2007, 223&#8211;239.</span>
</p>
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<span
update
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class="cmr-12">[8]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XCAI_SARKIS"></a><span
class="cmr-12">X.</span><span
class="cmr-12">&#x00A0;C.</span><span
class="cmr-12">&#x00A0;Cai, M.</span><span
class="cmr-12">&#x00A0;Sarkis, </span><span
class="cmti-12">A Restricted Additive Schwarz Preconditioner for</span>
<span
class="cmti-12">General Sparse Linear Systems</span><span
class="cmr-12">, SIAM Journal on Scientific Computing, 21</span>
<span
class="cmr-12">(2), 1999, 792&#8211;797.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[9]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XMatchBoxP"></a><span
class="cmr-12">U..</span><span
class="cmr-12">&#x00A0;V.</span><span
class="cmr-12">&#x00A0;Catalyurek, F.</span><span
class="cmr-12">&#x00A0;Dobrian, A.</span><span
class="cmr-12">&#x00A0;Gebremedhin, M.</span><span
class="cmr-12">&#x00A0;Halappanavar,</span>
<span
class="cmr-12">and A.</span><span
class="cmr-12">&#x00A0;Pothen, </span><span
class="cmti-12">Distributed-memory parallel algorithms for matching and</span>
<span
class="cmti-12">coloring</span><span
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class="cmr-12">, in PCO11 New Trends in Parallel Computing and Optimization,</span>
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<span
class="cmr-12">IEEE International Symposium on Parallel and Distributed Processing</span>
<span
class="cmr-12">Workshops, IEEE CS, 2011.</span>
</p>
<p class="bibitem" ><span class="biblabel">
update
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<span
class="cmr-12">[10]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="Xapnum_07"></a><span
class="cmr-12">P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, S.</span><span
class="cmr-12">&#x00A0;Filippone,</span>
<span
class="cmr-12">D.</span><span
class="cmr-12">&#x00A0;di</span><span
class="cmr-12">&#x00A0;Serafino, </span><span
class="cmti-12">On the Development of PSBLAS-based Parallel Two-level</span>
<span
class="cmti-12">Schwarz Preconditioners</span><span
class="cmr-12">, Applied Numerical Mathematics, Elsevier Science,</span>
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class="cmr-12">57 (11-12), 2007, 1181-1196.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[11]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XMLD2P4_TOMS"></a><span
class="cmr-12">P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, D.</span><span
class="cmr-12">&#x00A0;di</span><span
class="cmr-12">&#x00A0;Serafino, S.</span><span
class="cmr-12">&#x00A0;Filippone, </span><span
class="cmti-12">MLD2P4: a Package of</span>
<span
class="cmti-12">Parallel Multilevel Algebraic Domain Decomposition Preconditioners in</span>
<span
class="cmti-12">Fortran 95</span><span
class="cmr-12">, ACM Trans. Math. Softw., 37(3), 2010, art. 30.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[12]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
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id="XDV2013"></a><span
class="cmr-12">P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra and P. S.</span><span
class="cmr-12">&#x00A0;Vassilevski, </span><span
class="cmti-12">Adaptive AMG with coarsening based</span>
Fixed broken reference to table
4 years ago
<span
update
4 years ago
class="cmti-12">on compatible weighted matching</span><span
class="cmr-12">, Computing and Visualization in Science,</span>
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<span
update
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class="cmr-12">16, (2013) 59&#8211;76.</span>
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</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[13]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
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class="cmr-12">&#x00A0;</span></span></span><a
id="XDFV2018"></a><span
class="cmr-12">P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, S.</span><span
class="cmr-12">&#x00A0;Filippone and P. S.</span><span
class="cmr-12">&#x00A0;Vassilevski, </span><span
class="cmti-12">BootCMatch: a software</span>
<span
class="cmti-12">package for bootstrap AMG based on graph weighted matching</span><span
class="cmr-12">, ACM</span>
<span
class="cmr-12">Transactions on Mathematical Software, 44, (2018) 39:1&#8211;39:25.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
update
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class="cmr-12">[14]</span><span class="bibsp"><span
update
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
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class="cmr-12">&#x00A0;</span></span></span><a
id="XDDF2020"></a><span
class="cmr-12">P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, F</span><span
class="cmr-12">&#x00A0;Durastante, S.</span><span
class="cmr-12">&#x00A0;Filippone, </span><span
class="cmti-12">AMG preconditioners for</span>
<span
class="cmti-12">Linear Solvers towards Extreme Scale</span><span
class="cmr-12">, 2020, </span><a
href="https://arxiv.org/abs/2006.16147v3arXiv:2006.16147v2" ><span
class="cmr-12">arXiv:2006.16147v3</span></a><span
class="cmr-12">.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[15]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XUMFPACK"></a><span
class="cmr-12">T.</span><span
class="cmr-12">&#x00A0;A.</span><span
class="cmr-12">&#x00A0;Davis, </span><span
class="cmti-12">Algorithm 832: UMFPACK</span>
<span
class="cmti-12">- an Unsymmetric-pattern Multifrontal Method with a Column Pre-ordering</span>
<span
class="cmti-12">Strategy</span><span
class="cmr-12">, ACM Transactions on Mathematical Software, 30, 2004, 196&#8211;199.</span>
<span
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class="cmr-12">(See also </span><span
class="cmtt-12">http://www.cise.ufl.edu/~davis/</span><span
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class="cmr-12">)</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[16]</span><span class="bibsp"><span
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class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XSUPERLU"></a><span
class="cmr-12">J.</span><span
class="cmr-12">&#x00A0;W.</span><span
class="cmr-12">&#x00A0;Demmel, S.</span><span
class="cmr-12">&#x00A0;C.</span><span
class="cmr-12">&#x00A0;Eisenstat, J.</span><span
class="cmr-12">&#x00A0;R.</span><span
class="cmr-12">&#x00A0;Gilbert,</span>
<span
class="cmr-12">X.</span><span
class="cmr-12">&#x00A0;S.</span><span
class="cmr-12">&#x00A0;Li, J.</span><span
class="cmr-12">&#x00A0;W.</span><span
class="cmr-12">&#x00A0;H.</span><span
class="cmr-12">&#x00A0;Liu, </span><span
class="cmti-12">A supernodal approach to sparse partial pivoting</span><span
class="cmr-12">,</span>
<span
class="cmr-12">SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 720&#8211;755.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
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class="cmr-12">[17]</span><span class="bibsp"><span
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4 years ago
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="Xblas3"></a><span
class="cmr-12">J.</span><span
class="cmr-12">&#x00A0;J.</span><span
class="cmr-12">&#x00A0;Dongarra, J.</span><span
class="cmr-12">&#x00A0;Du Croz, I.</span><span
class="cmr-12">&#x00A0;S.</span><span
class="cmr-12">&#x00A0;Duff, S.</span><span
class="cmr-12">&#x00A0;Hammarling, </span><span
class="cmti-12">A set of Level</span>
<span
class="cmti-12">3 Basic Linear Algebra Subprograms</span><span
class="cmr-12">, ACM Transactions on Mathematical</span>
<span
class="cmr-12">Software, 16 (1) 1990, 1&#8211;17.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
update
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class="cmr-12">[18]</span><span class="bibsp"><span
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4 years ago
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="Xblas2"></a><span
class="cmr-12">J.</span><span
class="cmr-12">&#x00A0;J.</span><span
class="cmr-12">&#x00A0;Dongarra, J.</span><span
class="cmr-12">&#x00A0;Du Croz, S.</span><span
class="cmr-12">&#x00A0;Hammarling, R.</span><span
class="cmr-12">&#x00A0;J.</span><span
class="cmr-12">&#x00A0;Hanson, </span><span
class="cmti-12">An</span>
<span
class="cmti-12">extended set of FORTRAN Basic Linear Algebra Subprograms</span><span
class="cmr-12">, ACM</span>
<span
class="cmr-12">Transactions on Mathematical Software, 14 (1) 1988, 1&#8211;17.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
update
4 years ago
class="cmr-12">[19]</span><span class="bibsp"><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span><span
class="cmr-12">&#x00A0;</span></span></span><a
id="XPARCO2001"></a><span
class="cmr-12">S.</span><span
class="cmr-12">&#x00A0;Filippone, P.</span><span
class="cmr-12">&#x00A0;D&#8217;Ambra, M.</span><span
class="cmr-12">&#x00A0;Colajanni, </span><span
class="cmti-12">Using a Parallel Library of</span>
<span
class="cmti-12">Sparse Linear Algebra in a Fluid Dynamics Application Code on Linux</span>
<span
class="cmti-12">Clusters</span><span
class="cmr-12">, in Proc. of ParCo 2001, Parallel Computing, Advances and Current</span>
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class="cmr-12">Issues, 2002.</span>
</p>
<p class="bibitem" ><span class="biblabel">
<span
class="cmr-12">[20]</span><span class="bibsp"><span
Fixed broken reference to table
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class="cmr-12">&#x00A0;</span><span
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class="cmr-12">&#x00A0;</span></span></span><a
id="XPSBLASGUIDE"></a><span
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class="cmtt-12">https://github.com/sfilippone/psblas3/tree/master/docs</span><span
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class="cmr-12">.</span>
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class="cmr-12">(3) 1996, 179&#8211;196.</span></p></div>
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