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@@ -78,7 +78,7 @@ class="cmr-12">of a software development project started in 2007, named MLD2P4,
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<span
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class="cmr-12">implemented a multilevel version of some domain decomposition preconditioners of</span>
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<span
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class="cmr-12">additive-Schwarz type and was based on a parallel decoupled version of the well known</span>
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class="cmr-12">additive-Schwarz type, and was based on a parallel decoupled version of the well known</span>
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@@ -93,7 +93,7 @@ class="cmr-12">new algorithms and functionalities for the setup and application
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<span
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class="cmr-12">preconditioners with the final aims of improving efficiency and scalability when tens of</span>
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<span
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class="cmr-12">thousands cores are used and of boosting reliability in dealing with general</span>
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class="cmr-12">thousands cores are used, and of boosting reliability in dealing with general</span>
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<span
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class="cmr-12">symmetric positive definite linear systems. Due to the significant number</span>
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<span
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+55
-74
@@ -198,7 +198,7 @@ class="cmr-12"> Pothen, </span><span
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class="cmti-12">Distributed-memory parallel algorithms for matching and</span>
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<span
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||||
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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||||
class="cmr-12">, in PCO’11 New Trends in Parallel Computing and Optimization,</span>
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||||
<span
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||||
class="cmr-12">IEEE International Symposium on Parallel and Distributed Processing</span>
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<span
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||||
@@ -250,24 +250,43 @@ class="cmr-12">[11]</span><span class="bibsp"><span
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class="cmr-12"> </span><span
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||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
id="XBDDF2007"></a><span
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||||
class="cmr-12">A.</span><span
|
||||
class="cmr-12"> Buttari, P.</span><span
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||||
class="cmr-12"> D’Ambra, D.</span><span
|
||||
class="cmr-12"> di Serafino, S.</span><span
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||||
class="cmr-12"> Filippone, </span><span
|
||||
class="cmti-12">2LEV-D2P4: a</span>
|
||||
id="XDV2013"></a><span
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||||
class="cmr-12">P.</span><span
|
||||
class="cmr-12"> D’Ambra and P. S.</span><span
|
||||
class="cmr-12"> Vassilevski, </span><span
|
||||
class="cmti-12">Adaptive AMG with coarsening based</span>
|
||||
<span
|
||||
class="cmti-12">Package of High-Performance Preconditioners for Scientific and Engineering</span>
|
||||
class="cmti-12">on compatible weighted matching</span><span
|
||||
class="cmr-12">, Computing and Visualization in Science,</span>
|
||||
<span
|
||||
class="cmti-12">Applications</span><span
|
||||
class="cmr-12">, Appl. Algebra Engrg. Comm. Comput., 18(3), 2007, 223–239.</span>
|
||||
class="cmr-12">16, (2013) 59–76.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[12]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
id="XDFV2018"></a><span
|
||||
class="cmr-12">P.</span><span
|
||||
class="cmr-12"> D’Ambra, S.</span><span
|
||||
class="cmr-12"> Filippone and P. S.</span><span
|
||||
class="cmr-12"> 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) 39:1–39:25.</span>
|
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||||
|
||||
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
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<span
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||||
class="cmr-12">[13]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
id="XDDF2020"></a><span
|
||||
class="cmr-12">P.</span><span
|
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@@ -281,13 +300,10 @@ class="cmr-12">, 2020, </span><a
|
||||
href="https://arxiv.org/abs/2006.16147v3arXiv:2006.16147v2" ><span
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||||
class="cmr-12">arXiv:2006.16147v3</span></a><span
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||||
class="cmr-12">.</span>
|
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||||
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||||
|
||||
</p>
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||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
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||||
class="cmr-12">[13]</span><span class="bibsp"><span
|
||||
class="cmr-12">[14]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
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||||
class="cmr-12"> </span></span></span><a
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||||
@@ -308,7 +324,7 @@ class="cmr-12">)</span>
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||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[14]</span><span class="bibsp"><span
|
||||
class="cmr-12">[15]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
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||||
@@ -334,7 +350,7 @@ class="cmr-12">SIAM Journal on Matrix Analysis and Applications, 20 (3), 1999, 7
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[15]</span><span class="bibsp"><span
|
||||
class="cmr-12">[16]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -355,7 +371,7 @@ class="cmr-12">Software, 16 (1) 1990, 1–17.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[16]</span><span class="bibsp"><span
|
||||
class="cmr-12">[17]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -376,7 +392,7 @@ class="cmr-12">Transactions on Mathematical Software, 14 (1) 1988, 1–17.</
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[17]</span><span class="bibsp"><span
|
||||
class="cmr-12">[18]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -394,7 +410,7 @@ class="cmr-12">.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[18]</span><span class="bibsp"><span
|
||||
class="cmr-12">[19]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -409,10 +425,13 @@ class="cmr-12">. ACM Transactions on on Mathematical</span>
|
||||
<span
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||||
class="cmr-12">Software, 38 (4), 2012, art.</span><span
|
||||
class="cmr-12"> 23.</span>
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||||
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||||
|
||||
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[19]</span><span class="bibsp"><span
|
||||
class="cmr-12">[20]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -426,13 +445,10 @@ class="cmti-12">Library for Parallel Linear Algebra Computation on Sparse Matric
|
||||
class="cmr-12">, ACM</span>
|
||||
<span
|
||||
class="cmr-12">Transactions on Mathematical Software, 26 (4), 2000, 527–550.</span>
|
||||
|
||||
|
||||
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[20]</span><span class="bibsp"><span
|
||||
class="cmr-12">[21]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -447,7 +463,7 @@ class="cmr-12">2016, 23:501-518</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[21]</span><span class="bibsp"><span
|
||||
class="cmr-12">[22]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -469,7 +485,7 @@ class="cmr-12">, MIT Press, 1998.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[22]</span><span class="bibsp"><span
|
||||
class="cmr-12">[23]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -491,7 +507,7 @@ class="cmr-12">Mathematical Software, 5 (3), 1979, 308–323.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[23]</span><span class="bibsp"><span
|
||||
class="cmr-12">[24]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -511,7 +527,7 @@ class="cmr-12">ACM Transactions on Mathematical Software, 29 (2), 2003, 110̵
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[24]</span><span class="bibsp"><span
|
||||
class="cmr-12">[25]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -527,7 +543,7 @@ class="cmr-12">Numerical Linear Algebra with Applications, 15 (5), 2008, 473R
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[25]</span><span class="bibsp"><span
|
||||
class="cmr-12">[26]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -539,9 +555,12 @@ class="cmr-12">, 2nd edition, SIAM,</span>
|
||||
<span
|
||||
class="cmr-12">2003.</span>
|
||||
</p>
|
||||
|
||||
|
||||
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[26]</span><span class="bibsp"><span
|
||||
class="cmr-12">[27]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -557,12 +576,9 @@ class="cmr-12">, Cambridge</span>
|
||||
<span
|
||||
class="cmr-12">University Press, 1996.</span>
|
||||
</p>
|
||||
|
||||
|
||||
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[27]</span><span class="bibsp"><span
|
||||
class="cmr-12">[28]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -582,7 +598,7 @@ class="cmr-12">Press, 1998.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[28]</span><span class="bibsp"><span
|
||||
class="cmr-12">[29]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -601,7 +617,7 @@ class="cmr-12"> Oosterlee, Multigrid, Academic Press, 2001.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[29]</span><span class="bibsp"><span
|
||||
class="cmr-12">[30]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -619,7 +635,7 @@ class="cmr-12">editor, Proceedings of SuperComputing 2000, Dallas, 2000.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[30]</span><span class="bibsp"><span
|
||||
class="cmr-12">[31]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
@@ -634,42 +650,7 @@ class="cmti-12">Algebraic Multigrid by Smoothed</span>
|
||||
class="cmti-12">Aggregation for Second and Fourth Order Elliptic Problems</span><span
|
||||
class="cmr-12">, Computing, 56</span>
|
||||
<span
|
||||
class="cmr-12">(3) 1996, 179–196.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[31]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
id="XDV2013"></a><span
|
||||
class="cmr-12">P.</span><span
|
||||
class="cmr-12"> D’Ambra and P. S.</span><span
|
||||
class="cmr-12"> Vassilevski, </span><span
|
||||
class="cmti-12">Adaptive AMG with coarsening based</span>
|
||||
<span
|
||||
class="cmti-12">on compatible weighted matching</span><span
|
||||
class="cmr-12">, Computing and Visualization in Science,</span>
|
||||
<span
|
||||
class="cmr-12">16, (2013) 59–76.</span>
|
||||
</p>
|
||||
<p class="bibitem" ><span class="biblabel">
|
||||
<span
|
||||
class="cmr-12">[32]</span><span class="bibsp"><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span><span
|
||||
class="cmr-12"> </span></span></span><a
|
||||
id="XDFV2018"></a><span
|
||||
class="cmr-12">P.</span><span
|
||||
class="cmr-12"> D’Ambra, S.</span><span
|
||||
class="cmr-12"> Filippone and P. S.</span><span
|
||||
class="cmr-12"> 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) 39:1–39:25.</span></p></div>
|
||||
class="cmr-12">(3) 1996, 179–196.</span></p></div>
|
||||
|
||||
|
||||
|
||||
|
||||
+43
-32
@@ -88,7 +88,7 @@ class="cmr-12">4</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XStuben_01"><span
|
||||
class="cmr-12">28</span></a><span
|
||||
class="cmr-12">29</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">), to be used in the iterative solution of linear systems,</span>
|
||||
<table
|
||||
@@ -121,17 +121,26 @@ class="cmr-12">4</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XNotay2008"><span
|
||||
class="cmr-12">24</span></a><span
|
||||
class="cmr-12">25</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">; they can be combined with Jacobi hybrid forward/backward</span>
|
||||
class="cmr-12">; they can be combined with Jacobi, hybrid forward/backward</span>
|
||||
<span
|
||||
class="cmr-12">Gauss-Seidel, block-Jacobi, and additive Schwarz smoothers. The Jacobi, block-Jacobi</span>
|
||||
class="cmr-12">Gauss-Seidel, block-Jacobi and additive Schwarz smoothers with various versions of</span>
|
||||
<span
|
||||
class="cmr-12">and Gauss-Seidel smoothers are also available in the </span><span
|
||||
class="cmr-12">local incomplete factorizations and approximate inverses on the blocks. The</span>
|
||||
<span
|
||||
class="cmr-12">Jacobi, block-Jacobi and Gauss-Seidel smoothers are also available in the </span><span
|
||||
class="cmmi-12">ℓ</span><sub><span
|
||||
class="cmr-8">1</span></sub> <span
|
||||
class="cmr-12">version.</span>
|
||||
<!--l. 29--><p class="indent" > <span
|
||||
class="cmr-8">1</span></sub>
|
||||
<span
|
||||
class="cmr-12">version</span><span
|
||||
class="cmr-12"> </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XDDF2020"><span
|
||||
class="cmr-12">13</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span>
|
||||
<!--l. 30--><p class="indent" > <span
|
||||
class="cmr-12">An algebraic approach is used to generate a hierarchy of coarse-level matrices and</span>
|
||||
<span
|
||||
class="cmr-12">operators, without explicitly using any information on the geometry of the original</span>
|
||||
@@ -150,19 +159,22 @@ class="cmr-12">,</span>
|
||||
<span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XVANEK_MANDEL_BREZINA"><span
|
||||
class="cmr-12">30</span></a><span
|
||||
class="cmr-12">31</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">, and already included in the previous versions of the package</span><span
|
||||
class="cmr-12"> </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XBDDF2007"><span
|
||||
class="cmr-12">11</span></a><span
|
||||
href="userhtmlli5.html#Xaaecc_07"><span
|
||||
class="cmr-12">6</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XMLD2P4_TOMS"><span
|
||||
class="cmr-12">10</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">;</span>
|
||||
|
||||
|
||||
|
||||
</li>
|
||||
<li class="itemize"><span
|
||||
class="cmr-12">a coupled, parallel implementation of the Coarsening based on Compatible</span>
|
||||
@@ -171,33 +183,32 @@ class="cmr-12">Weighted Matching introduced in</span><span
|
||||
class="cmr-12"> </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XDV2013"><span
|
||||
class="cmr-12">31</span></a><span
|
||||
class="cmr-12">11</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XDFV2018"><span
|
||||
class="cmr-12">32</span></a><span
|
||||
class="cmr-12">12</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">and described in detail in</span><span
|
||||
class="cmr-12"> </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XDDF2020"><span
|
||||
class="cmr-12">12</span></a><span
|
||||
class="cmr-12">13</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">;</span></li></ul>
|
||||
|
||||
|
||||
|
||||
<!--l. 42--><p class="noindent" ><span
|
||||
<!--l. 43--><p class="noindent" ><span
|
||||
class="cmr-12">Either exact or approximate solvers can be used on the coarsest-level system. We provide</span>
|
||||
<span
|
||||
class="cmr-12">interfaces to various sparse LU factorizations from external packages, native incomplete</span>
|
||||
class="cmr-12">interfaces to various parallel and sequential sparse LU factorizations from external</span>
|
||||
<span
|
||||
class="cmr-12">LU and approximate inverse factorizations, weighted Jacobi, hybrid Gauss-Seidel,</span>
|
||||
class="cmr-12">packages, sequential native incomplete LU and approximate inverse factorizations,</span>
|
||||
<span
|
||||
class="cmr-12">block-Jacobi solvers and a recursive call to preconditioned Krylov methods; all</span>
|
||||
class="cmr-12">parallel weighted Jacobi, hybrid Gauss-Seidel, block-Jacobi solvers and calls to</span>
|
||||
<span
|
||||
class="cmr-12">smoothers can be also exploited as one-level preconditioners.</span>
|
||||
<!--l. 49--><p class="indent" > <span
|
||||
class="cmr-12">preconditioned Krylov methods; all smoothers can be also exploited as one-level</span>
|
||||
<span
|
||||
class="cmr-12">preconditioners.</span>
|
||||
<!--l. 50--><p class="indent" > <span
|
||||
class="cmr-12">AMG4PSBLAS is written in Fortran</span><span
|
||||
class="cmr-12"> 2003, following an object-oriented design</span>
|
||||
<span
|
||||
@@ -212,7 +223,7 @@ class="cmr-12">Single and double precision implementations of AMG4PSBLAS are ava
|
||||
class="cmr-12">for both the real and the complex case, which can be used through a single</span>
|
||||
<span
|
||||
class="cmr-12">interface.</span>
|
||||
<!--l. 59--><p class="indent" > <span
|
||||
<!--l. 60--><p class="indent" > <span
|
||||
class="cmr-12">AMG4PSBLAS has been designed to implement scalable and easy-to-use</span>
|
||||
<span
|
||||
class="cmr-12">multilevel preconditioners in the context of the PSBLAS (Parallel Sparse BLAS)</span>
|
||||
@@ -221,11 +232,11 @@ class="cmr-12">computational framework</span><span
|
||||
class="cmr-12"> </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#Xpsblas_00"><span
|
||||
class="cmr-12">19</span></a><span
|
||||
class="cmr-12">20</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XPSBLAS3"><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">19</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">. PSBLAS provides basic linear algebra operators</span>
|
||||
<span
|
||||
@@ -259,14 +270,14 @@ class="cmr-12">In the most recent version of PSBLAS (release 3.7), a plug-in for
|
||||
<span
|
||||
class="cmr-12">included; it includes CUDA versions of main vector operations and of sparse</span>
|
||||
<span
|
||||
class="cmr-12">matrix-vector multiplication, so that Krylov methods coupled with AMG4PBLAS</span>
|
||||
class="cmr-12">matrix-vector multiplication, so that Krylov methods coupled with AMG4PSBLAS</span>
|
||||
<span
|
||||
class="cmr-12">preconditioners relying on Jacobi and block-Jacobi smoothers with sparse</span>
|
||||
<span
|
||||
class="cmr-12">approximate inverses on the blocks can be efficiently executed on cluster of</span>
|
||||
<span
|
||||
class="cmr-12">GPUs.</span>
|
||||
<!--l. 84--><p class="indent" > <span
|
||||
<!--l. 85--><p class="indent" > <span
|
||||
class="cmr-12">AMG4PSBLAS has a layered and modular software architecture where three main</span>
|
||||
<span
|
||||
class="cmr-12">layers can be identified. The lower layer consists of the PSBLAS kernels, the middle</span>
|
||||
@@ -274,6 +285,9 @@ class="cmr-12">layers can be identified. The lower layer consists of the PSBLAS
|
||||
class="cmr-12">one implements the construction and application phases of the preconditioners, and the</span>
|
||||
<span
|
||||
class="cmr-12">upper one provides a uniform interface to all the preconditioners. This architecture</span>
|
||||
|
||||
|
||||
|
||||
<span
|
||||
class="cmr-12">allows for different levels of use of the package: few black-box routines at the upper</span>
|
||||
<span
|
||||
@@ -282,16 +296,13 @@ class="cmr-12">layer allow all users to easily build and apply any preconditione
|
||||
class="cmr-12">AMG4PSBLAS; facilities are also available allowing expert users to extend the set of</span>
|
||||
<span
|
||||
class="cmr-12">smoothers and solvers for building new versions of the preconditioners (see</span>
|
||||
|
||||
|
||||
|
||||
<span
|
||||
class="cmr-12">Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlse6.html#x26-300006"><span
|
||||
class="cmr-12">6</span><!--tex4ht:ref: sec:adding --></a><span
|
||||
class="cmr-12">).</span>
|
||||
<!--l. 95--><p class="indent" > <span
|
||||
<!--l. 96--><p class="indent" > <span
|
||||
class="cmr-12">This guide is organized as follows. General information on the distribution of the</span>
|
||||
<span
|
||||
class="cmr-12">source code is reported in Section</span><span
|
||||
|
||||
+17
-17
@@ -39,7 +39,7 @@ class="cmr-12">and multilevel (i.e., AMG) preconditioners with the Krylov solver
|
||||
class="cmr-12">PSBLAS </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span>
|
||||
<!--l. 9--><p class="indent" > <span
|
||||
@@ -242,7 +242,7 @@ class="cmcsc-10x-x-109"><span
|
||||
class="small-caps">t</span><span
|
||||
class="small-caps">y</span><span
|
||||
class="small-caps">p</span><span
|
||||
class="small-caps">e</span> </span></td><td style="white-space:wrap; text-align:left;" id="TBL-1-1-2"
|
||||
class="small-caps">e</span> </span></td><td style="white-space:normal; text-align:left;" id="TBL-1-1-2"
|
||||
class="td11"><!--l. 68--><p class="noindent" ><span
|
||||
class="cmcsc-10x-x-109"><span
|
||||
class="small-caps">s</span><span
|
||||
@@ -250,7 +250,7 @@ class="small-caps">t</span><span
|
||||
class="small-caps">r</span><span
|
||||
class="small-caps">i</span><span
|
||||
class="small-caps">n</span><span
|
||||
class="small-caps">g</span></span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-1-3"
|
||||
class="small-caps">g</span></span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-1-3"
|
||||
class="td11"><!--l. 68--><p class="noindent" ><span
|
||||
class="cmcsc-10x-x-109"><span
|
||||
class="small-caps">d</span><span
|
||||
@@ -276,17 +276,17 @@ class="small-caps">e</span><span
|
||||
class="small-caps">r</span></span> </td></tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-2-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-2-1"
|
||||
class="td11">No preconditioner </td><td style="white-space:wrap; text-align:left;" id="TBL-1-2-2"
|
||||
class="td11">No preconditioner </td><td style="white-space:normal; text-align:left;" id="TBL-1-2-2"
|
||||
class="td11"><!--l. 69--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">NONE</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-2-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-2-3"
|
||||
class="td11"><!--l. 69--><p class="noindent" >Considered to use the PSBLAS Krylov
|
||||
solvers with no preconditioner. </td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-3-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-3-1"
|
||||
class="td11">Diagonal </td><td style="white-space:wrap; text-align:left;" id="TBL-1-3-2"
|
||||
class="td11">Diagonal </td><td style="white-space:normal; text-align:left;" id="TBL-1-3-2"
|
||||
class="td11"><!--l. 71--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">DIAG</span><span
|
||||
@@ -300,7 +300,7 @@ class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">JACOBI</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-3-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-3-3"
|
||||
class="td11"><!--l. 71--><p class="noindent" >Diagonal preconditioner. For any zero
|
||||
diagonal entry of the matrix to be
|
||||
preconditioned, the corresponding entry
|
||||
@@ -308,7 +308,7 @@ of the preconditioner is set to 1. </td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-4-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-4-1"
|
||||
class="td11">Gauss-Seidel </td><td style="white-space:wrap; text-align:left;" id="TBL-1-4-2"
|
||||
class="td11">Gauss-Seidel </td><td style="white-space:normal; text-align:left;" id="TBL-1-4-2"
|
||||
class="td11"><!--l. 74--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">GS</span><span
|
||||
@@ -318,14 +318,14 @@ class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">GS</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-4-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-4-3"
|
||||
class="td11"><!--l. 74--><p class="noindent" >Hybrid Gauss-Seidel (forward), that is,
|
||||
global block Jacobi with Gauss-Seidel as
|
||||
local solver. </td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-5-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-5-1"
|
||||
class="td11">Symmetrized Gauss-Seidel</td><td style="white-space:wrap; text-align:left;" id="TBL-1-5-2"
|
||||
class="td11">Symmetrized Gauss-Seidel</td><td style="white-space:normal; text-align:left;" id="TBL-1-5-2"
|
||||
class="td11"><!--l. 77--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">FBGS</span><span
|
||||
@@ -335,14 +335,14 @@ class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">FBGS</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-5-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-5-3"
|
||||
class="td11"><!--l. 77--><p class="noindent" >Symmetrized hybrid Gauss-Seidel, that
|
||||
is, forward Gauss-Seidel followed by
|
||||
backward Gauss-Seidel. </td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-6-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-6-1"
|
||||
class="td11">Block Jacobi </td><td style="white-space:wrap; text-align:left;" id="TBL-1-6-2"
|
||||
class="td11">Block Jacobi </td><td style="white-space:normal; text-align:left;" id="TBL-1-6-2"
|
||||
class="td11"><!--l. 80--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">BJAC</span><span
|
||||
@@ -352,27 +352,27 @@ class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">L1</span><span
|
||||
class="cmtt-10x-x-109">-</span><span
|
||||
class="cmtt-10x-x-109">BJAC</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-6-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-6-3"
|
||||
class="td11"><!--l. 80--><p class="noindent" >Block-Jacobi with ILU(0) on the local
|
||||
blocks. </td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-7-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-7-1"
|
||||
class="td11">Additive Schwarz </td><td style="white-space:wrap; text-align:left;" id="TBL-1-7-2"
|
||||
class="td11">Additive Schwarz </td><td style="white-space:normal; text-align:left;" id="TBL-1-7-2"
|
||||
class="td11"><!--l. 81--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">AS</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-7-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-7-3"
|
||||
class="td11"><!--l. 81--><p class="noindent" >Additive Schwarz (AS), with overlap 1
|
||||
and ILU(0) on the local blocks. </td>
|
||||
</tr><tr
|
||||
class="hline"><td><hr></td><td><hr></td><td><hr></td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-1-8-"><td style="white-space:nowrap; text-align:left;" id="TBL-1-8-1"
|
||||
class="td11">Multilevel </td><td style="white-space:wrap; text-align:left;" id="TBL-1-8-2"
|
||||
class="td11">Multilevel </td><td style="white-space:normal; text-align:left;" id="TBL-1-8-2"
|
||||
class="td11"><!--l. 83--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-10x-x-109">’</span><span
|
||||
class="cmtt-10x-x-109">ML</span><span
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-1-8-3"
|
||||
class="cmtt-10x-x-109">’</span> </td><td style="white-space:normal; text-align:left;" id="TBL-1-8-3"
|
||||
class="td11"><!--l. 83--><p class="noindent" >V-cycle with one hybrid
|
||||
forward Gauss-Seidel (GS) sweep as
|
||||
pre-smoother and one hybrid backward
|
||||
|
||||
@@ -170,33 +170,33 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-22-1g"><col
|
||||
id="TBL-22-1"><col
|
||||
id="TBL-22-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-22-1-"><td style="white-space:wrap; text-align:left;" id="TBL-22-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-22-1-"><td style="white-space:normal; text-align:left;" id="TBL-22-1-1"
|
||||
class="td11"><!--l. 58--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">smoother</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-22-1-2"
|
||||
class="cmtt-12">smoother</span> </td><td style="white-space:normal; text-align:left;" id="TBL-22-1-2"
|
||||
class="td11"><!--l. 58--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
class="cmtt-12">amg_x_base_smoother_type</span><span
|
||||
class="cmtt-12">)</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-22-2-"><td style="white-space:wrap; text-align:left;" id="TBL-22-2-1"
|
||||
class="td11"><!--l. 59--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-22-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-22-2-"><td style="white-space:normal; text-align:left;" id="TBL-22-2-1"
|
||||
class="td11"><!--l. 59--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-22-2-2"
|
||||
class="td11"><!--l. 59--><p class="noindent" ><span
|
||||
class="cmr-12">The user-defined new smoother to be employed in the</span>
|
||||
<span
|
||||
class="cmr-12">preconditioner.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-22-3-"><td style="white-space:wrap; text-align:left;" id="TBL-22-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-22-3-"><td style="white-space:normal; text-align:left;" id="TBL-22-3-1"
|
||||
class="td11"><!--l. 61--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">solver</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-22-3-2"
|
||||
class="cmtt-12">solver</span> </td><td style="white-space:normal; text-align:left;" id="TBL-22-3-2"
|
||||
class="td11"><!--l. 61--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
class="cmtt-12">amg_x_base_solver_type</span><span
|
||||
class="cmtt-12">)</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-22-4-"><td style="white-space:wrap; text-align:left;" id="TBL-22-4-1"
|
||||
class="td11"><!--l. 62--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-22-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-22-4-"><td style="white-space:normal; text-align:left;" id="TBL-22-4-1"
|
||||
class="td11"><!--l. 62--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-22-4-2"
|
||||
class="td11"><!--l. 62--><p class="noindent" ><span
|
||||
class="cmr-12">The user-defined new solver to be employed in the preconditioner.</span></td></tr></table></div></div>
|
||||
<!--l. 66--><p class="noindent" ><span
|
||||
|
||||
@@ -52,7 +52,7 @@ class="cmr-12">PSBLAS error handling routines; for further details see the PSBLA
|
||||
<span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span>
|
||||
|
||||
|
||||
@@ -91,7 +91,7 @@ class="cmr-12">Trolling, insulting or derogatory comments, and personal or polit
|
||||
class="cmr-12">Public or private harassment</span>
|
||||
</li>
|
||||
<li class="itemize"><span
|
||||
class="cmr-12">Publishing others private information, such as a physical or email address,</span>
|
||||
class="cmr-12">Publishing others’ private information, such as a physical or email address,</span>
|
||||
<span
|
||||
class="cmr-12">without their explicit permission</span>
|
||||
</li>
|
||||
@@ -234,7 +234,7 @@ class="cmr-12">_of</span><span
|
||||
class="cmr-12">_conduct</span>
|
||||
<span
|
||||
class="cmr-12">.html</span></a><span
|
||||
class="cmr-12">. Community Impact Guidelines were inspired by Mozillas code of conduct</span>
|
||||
class="cmr-12">. Community Impact Guidelines were inspired by Mozilla’s code of conduct</span>
|
||||
<span
|
||||
class="cmr-12">enforcement ladder. For answers to common questions about this code of conduct, see</span>
|
||||
<span
|
||||
|
||||
@@ -36,15 +36,15 @@ class="cmbx-12">BLAS</span> </dt><dd
|
||||
class="description"><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#Xblas3"><span
|
||||
class="cmr-12">15</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#Xblas2"><span
|
||||
class="cmr-12">16</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#Xblas2"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#Xblas1"><span
|
||||
class="cmr-12">22</span></a><span
|
||||
class="cmr-12">23</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">Many vendors provide optimized versions of BLAS; if no</span>
|
||||
<span
|
||||
@@ -90,11 +90,11 @@ class="cmbx-12">MPI</span> </dt><dd
|
||||
class="description"><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XMPI2"><span
|
||||
class="cmr-12">21</span></a><span
|
||||
class="cmr-12">22</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#XMPI1"><span
|
||||
class="cmr-12">27</span></a><span
|
||||
class="cmr-12">28</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">A version of MPI is available on most high-performance computing</span>
|
||||
<span
|
||||
@@ -105,11 +105,11 @@ class="cmbx-12">PSBLAS</span> </dt><dd
|
||||
class="description"><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">,</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="userhtmlli5.html#Xpsblas_00"><span
|
||||
class="cmr-12">19</span></a><span
|
||||
class="cmr-12">20</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">Parallel Sparse BLAS (PSBLAS) is available from</span>
|
||||
<a
|
||||
|
||||
+28
-28
@@ -82,9 +82,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-12-1g"><col
|
||||
id="TBL-12-1"><col
|
||||
id="TBL-12-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-1-"><td style="white-space:wrap; text-align:left;" id="TBL-12-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-1-"><td style="white-space:normal; text-align:left;" id="TBL-12-1-1"
|
||||
class="td11"><!--l. 678--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">a</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-12-1-2"
|
||||
class="cmtt-12">a</span> </td><td style="white-space:normal; text-align:left;" id="TBL-12-1-2"
|
||||
class="td11"><!--l. 678--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -99,8 +99,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-2-"><td style="white-space:wrap; text-align:left;" id="TBL-12-2-1"
|
||||
class="td11"><!--l. 679--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-12-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-12-2-"><td style="white-space:normal; text-align:left;" id="TBL-12-2-1"
|
||||
class="td11"><!--l. 679--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-12-2-2"
|
||||
class="td11"><!--l. 679--><p class="noindent" ><span
|
||||
class="cmr-12">The sparse matrix structure containing the local part of the matrix</span>
|
||||
<span
|
||||
@@ -116,13 +116,13 @@ class="cmr-12">, single/double precision version of AMG4PSBLAS</span>
|
||||
class="cmr-12">under use. See the PSBLAS User’s Guide for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-3-"><td style="white-space:wrap; text-align:left;" id="TBL-12-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-3-"><td style="white-space:normal; text-align:left;" id="TBL-12-3-1"
|
||||
class="td11"><!--l. 683--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:wrap; text-align:left;" id="TBL-12-3-2"
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:normal; text-align:left;" id="TBL-12-3-2"
|
||||
class="td11"><!--l. 683--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -135,8 +135,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-4-"><td style="white-space:wrap; text-align:left;" id="TBL-12-4-1"
|
||||
class="td11"><!--l. 684--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-12-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-12-4-"><td style="white-space:normal; text-align:left;" id="TBL-12-4-1"
|
||||
class="td11"><!--l. 684--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-12-4-2"
|
||||
class="td11"><!--l. 684--><p class="noindent" ><span
|
||||
class="cmr-12">The communication descriptor of </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">a</span><span
|
||||
@@ -145,13 +145,13 @@ class="cmr-12">. See the PSBLAS User’s Guide</span>
|
||||
class="cmr-12">for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-5-"><td style="white-space:wrap; text-align:left;" id="TBL-12-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-5-"><td style="white-space:normal; text-align:left;" id="TBL-12-5-1"
|
||||
class="td11"><!--l. 686--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-12-5-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-12-5-2"
|
||||
class="td11"><!--l. 686--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -162,8 +162,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-6-"><td style="white-space:wrap; text-align:left;" id="TBL-12-6-1"
|
||||
class="td11"><!--l. 687--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-12-6-2"
|
||||
style="vertical-align:baseline;" id="TBL-12-6-"><td style="white-space:normal; text-align:left;" id="TBL-12-6-1"
|
||||
class="td11"><!--l. 687--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-12-6-2"
|
||||
class="td11"><!--l. 687--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -171,9 +171,9 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-7-"><td style="white-space:wrap; text-align:left;" id="TBL-12-7-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-7-"><td style="white-space:normal; text-align:left;" id="TBL-12-7-1"
|
||||
class="td11"><!--l. 688--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">amold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-12-7-2"
|
||||
class="cmtt-12">amold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-12-7-2"
|
||||
class="td11"><!--l. 688--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -190,8 +190,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-8-"><td style="white-space:wrap; text-align:left;" id="TBL-12-8-1"
|
||||
class="td11"><!--l. 689--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-12-8-2"
|
||||
style="vertical-align:baseline;" id="TBL-12-8-"><td style="white-space:normal; text-align:left;" id="TBL-12-8-1"
|
||||
class="td11"><!--l. 689--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-12-8-2"
|
||||
class="td11"><!--l. 689--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal matrix components; this</span>
|
||||
<span
|
||||
@@ -200,13 +200,13 @@ class="cmr-12">allows e.g. running on GPUs; it needs not be the same
|
||||
class="cmr-12">processes. See the PSBLAS User’s Guide for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-9-"><td style="white-space:wrap; text-align:left;" id="TBL-12-9-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-9-"><td style="white-space:normal; text-align:left;" id="TBL-12-9-1"
|
||||
class="td11"><!--l. 693--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">vmold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-12-9-2"
|
||||
class="cmtt-12">vmold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-12-9-2"
|
||||
class="td11"><!--l. 693--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -223,16 +223,16 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-10-"><td style="white-space:wrap; text-align:left;" id="TBL-12-10-1"
|
||||
class="td11"><!--l. 694--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-12-10-2"
|
||||
style="vertical-align:baseline;" id="TBL-12-10-"><td style="white-space:normal; text-align:left;" id="TBL-12-10-1"
|
||||
class="td11"><!--l. 694--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-12-10-2"
|
||||
class="td11"><!--l. 694--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal vector components; this</span>
|
||||
<span
|
||||
class="cmr-12">allows e.g. running on GPUs.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-11-"><td style="white-space:wrap; text-align:left;" id="TBL-12-11-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-11-"><td style="white-space:normal; text-align:left;" id="TBL-12-11-1"
|
||||
class="td11"><!--l. 696--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">imold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-12-11-2"
|
||||
class="cmtt-12">imold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-12-11-2"
|
||||
class="td11"><!--l. 696--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -247,14 +247,14 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-12-"><td style="white-space:wrap; text-align:left;" id="TBL-12-12-1"
|
||||
class="td11"><!--l. 697--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-12-12-2"
|
||||
style="vertical-align:baseline;" id="TBL-12-12-"><td style="white-space:normal; text-align:left;" id="TBL-12-12-1"
|
||||
class="td11"><!--l. 697--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-12-12-2"
|
||||
class="td11"><!--l. 697--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal integer vector components;</span>
|
||||
<span
|
||||
class="cmr-12">this allows e.g. running on GPUs.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-12-13-"><td style="white-space:wrap; text-align:left;" id="TBL-12-13-1"
|
||||
style="vertical-align:baseline;" id="TBL-12-13-"><td style="white-space:normal; text-align:left;" id="TBL-12-13-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
+28
-28
@@ -90,9 +90,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-13-1g"><col
|
||||
id="TBL-13-1"><col
|
||||
id="TBL-13-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-1-"><td style="white-space:wrap; text-align:left;" id="TBL-13-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-1-"><td style="white-space:normal; text-align:left;" id="TBL-13-1-1"
|
||||
class="td11"><!--l. 722--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">a</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-13-1-2"
|
||||
class="cmtt-12">a</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-1-2"
|
||||
class="td11"><!--l. 722--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -107,8 +107,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-2-"><td style="white-space:wrap; text-align:left;" id="TBL-13-2-1"
|
||||
class="td11"><!--l. 723--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-13-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-13-2-"><td style="white-space:normal; text-align:left;" id="TBL-13-2-1"
|
||||
class="td11"><!--l. 723--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-2-2"
|
||||
class="td11"><!--l. 723--><p class="noindent" ><span
|
||||
class="cmr-12">The sparse matrix structure containing the local part of the matrix</span>
|
||||
<span
|
||||
@@ -124,13 +124,13 @@ class="cmr-12">, single/double precision version of AMG4PSBLAS</span>
|
||||
class="cmr-12">under use. See the PSBLAS User’s Guide for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-3-"><td style="white-space:wrap; text-align:left;" id="TBL-13-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-3-"><td style="white-space:normal; text-align:left;" id="TBL-13-3-1"
|
||||
class="td11"><!--l. 727--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:wrap; text-align:left;" id="TBL-13-3-2"
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:normal; text-align:left;" id="TBL-13-3-2"
|
||||
class="td11"><!--l. 727--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -143,8 +143,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-4-"><td style="white-space:wrap; text-align:left;" id="TBL-13-4-1"
|
||||
class="td11"><!--l. 728--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-13-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-13-4-"><td style="white-space:normal; text-align:left;" id="TBL-13-4-1"
|
||||
class="td11"><!--l. 728--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-4-2"
|
||||
class="td11"><!--l. 728--><p class="noindent" ><span
|
||||
class="cmr-12">The communication descriptor of </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">a</span><span
|
||||
@@ -153,13 +153,13 @@ class="cmr-12">. See the PSBLAS User’s Guide</span>
|
||||
class="cmr-12">for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-5-"><td style="white-space:wrap; text-align:left;" id="TBL-13-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-5-"><td style="white-space:normal; text-align:left;" id="TBL-13-5-1"
|
||||
class="td11"><!--l. 730--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-13-5-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-5-2"
|
||||
class="td11"><!--l. 730--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -170,8 +170,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-6-"><td style="white-space:wrap; text-align:left;" id="TBL-13-6-1"
|
||||
class="td11"><!--l. 731--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-13-6-2"
|
||||
style="vertical-align:baseline;" id="TBL-13-6-"><td style="white-space:normal; text-align:left;" id="TBL-13-6-1"
|
||||
class="td11"><!--l. 731--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-6-2"
|
||||
class="td11"><!--l. 731--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -179,9 +179,9 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-7-"><td style="white-space:wrap; text-align:left;" id="TBL-13-7-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-7-"><td style="white-space:normal; text-align:left;" id="TBL-13-7-1"
|
||||
class="td11"><!--l. 732--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">amold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-13-7-2"
|
||||
class="cmtt-12">amold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-7-2"
|
||||
class="td11"><!--l. 732--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -198,8 +198,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-8-"><td style="white-space:wrap; text-align:left;" id="TBL-13-8-1"
|
||||
class="td11"><!--l. 733--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-13-8-2"
|
||||
style="vertical-align:baseline;" id="TBL-13-8-"><td style="white-space:normal; text-align:left;" id="TBL-13-8-1"
|
||||
class="td11"><!--l. 733--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-8-2"
|
||||
class="td11"><!--l. 733--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal matrix components; this</span>
|
||||
<span
|
||||
@@ -208,13 +208,13 @@ class="cmr-12">allows e.g. running on GPUs; it needs not be the same
|
||||
class="cmr-12">processes. See the PSBLAS User’s Guide for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-9-"><td style="white-space:wrap; text-align:left;" id="TBL-13-9-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-9-"><td style="white-space:normal; text-align:left;" id="TBL-13-9-1"
|
||||
class="td11"><!--l. 737--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">vmold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-13-9-2"
|
||||
class="cmtt-12">vmold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-9-2"
|
||||
class="td11"><!--l. 737--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -231,16 +231,16 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-10-"><td style="white-space:wrap; text-align:left;" id="TBL-13-10-1"
|
||||
class="td11"><!--l. 738--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-13-10-2"
|
||||
style="vertical-align:baseline;" id="TBL-13-10-"><td style="white-space:normal; text-align:left;" id="TBL-13-10-1"
|
||||
class="td11"><!--l. 738--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-10-2"
|
||||
class="td11"><!--l. 738--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal vector components; this</span>
|
||||
<span
|
||||
class="cmr-12">allows e.g. running on GPUs.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-11-"><td style="white-space:wrap; text-align:left;" id="TBL-13-11-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-11-"><td style="white-space:normal; text-align:left;" id="TBL-13-11-1"
|
||||
class="td11"><!--l. 740--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">imold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-13-11-2"
|
||||
class="cmtt-12">imold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-13-11-2"
|
||||
class="td11"><!--l. 740--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -255,14 +255,14 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-12-"><td style="white-space:wrap; text-align:left;" id="TBL-13-12-1"
|
||||
class="td11"><!--l. 741--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-13-12-2"
|
||||
style="vertical-align:baseline;" id="TBL-13-12-"><td style="white-space:normal; text-align:left;" id="TBL-13-12-1"
|
||||
class="td11"><!--l. 741--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-13-12-2"
|
||||
class="td11"><!--l. 741--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal integer vector components;</span>
|
||||
<span
|
||||
class="cmr-12">this allows e.g. running on GPUs.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-13-13-"><td style="white-space:wrap; text-align:left;" id="TBL-13-13-1"
|
||||
style="vertical-align:baseline;" id="TBL-13-13-"><td style="white-space:normal; text-align:left;" id="TBL-13-13-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
<!--l. 746--><p class="noindent" ><span
|
||||
class="cmr-12">The method can be used to build multilevel preconditioners too.</span>
|
||||
|
||||
+25
-25
@@ -96,9 +96,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-14-1g"><col
|
||||
id="TBL-14-1"><col
|
||||
id="TBL-14-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-1-"><td style="white-space:wrap; text-align:left;" id="TBL-14-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-1-"><td style="white-space:normal; text-align:left;" id="TBL-14-1-1"
|
||||
class="td11"><!--l. 769--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">x</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-1-2"
|
||||
class="cmtt-12">x</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-1-2"
|
||||
class="td11"><!--l. 769--><p class="noindent" ><span
|
||||
class="cmti-12">type</span><span class="lstinline"></span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -106,8 +106,8 @@ class="cmtt-12">kind_parameter</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">, dimension(:), intent(in)—.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-2-"><td style="white-space:wrap; text-align:left;" id="TBL-14-2-1"
|
||||
class="td11"><!--l. 770--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-14-2-"><td style="white-space:normal; text-align:left;" id="TBL-14-2-1"
|
||||
class="td11"><!--l. 770--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-2-2"
|
||||
class="td11"><!--l. 770--><p class="noindent" ><span
|
||||
class="cmr-12">The local part of the vector </span><span
|
||||
class="cmmi-12">x</span><span
|
||||
@@ -125,9 +125,9 @@ class="cmr-12">, single/double</span>
|
||||
<span
|
||||
class="cmr-12">precision version of AMG4PSBLAS under use.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-3-"><td style="white-space:wrap; text-align:left;" id="TBL-14-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-3-"><td style="white-space:normal; text-align:left;" id="TBL-14-3-1"
|
||||
class="td11"><!--l. 773--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">y</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-3-2"
|
||||
class="cmtt-12">y</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-3-2"
|
||||
class="td11"><!--l. 773--><p class="noindent" ><span
|
||||
class="cmti-12">type</span><span class="lstinline"></span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -135,8 +135,8 @@ class="cmtt-12">kind_parameter</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">, dimension(:), intent(out)—.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-4-"><td style="white-space:wrap; text-align:left;" id="TBL-14-4-1"
|
||||
class="td11"><!--l. 774--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-14-4-"><td style="white-space:normal; text-align:left;" id="TBL-14-4-1"
|
||||
class="td11"><!--l. 774--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-4-2"
|
||||
class="td11"><!--l. 774--><p class="noindent" ><span
|
||||
class="cmr-12">The local part of the vector </span><span
|
||||
class="cmmi-12">y</span><span
|
||||
@@ -154,9 +154,9 @@ class="cmr-12">, single/double</span>
|
||||
<span
|
||||
class="cmr-12">precision version of AMG4PSBLAS under use.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-5-"><td style="white-space:wrap; text-align:left;" id="TBL-14-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-5-"><td style="white-space:normal; text-align:left;" id="TBL-14-5-1"
|
||||
class="td11"><!--l. 777--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:wrap; text-align:left;" id="TBL-14-5-2"
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:normal; text-align:left;" id="TBL-14-5-2"
|
||||
class="td11"><!--l. 777--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -169,16 +169,16 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-6-"><td style="white-space:wrap; text-align:left;" id="TBL-14-6-1"
|
||||
class="td11"><!--l. 778--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-6-2"
|
||||
style="vertical-align:baseline;" id="TBL-14-6-"><td style="white-space:normal; text-align:left;" id="TBL-14-6-1"
|
||||
class="td11"><!--l. 778--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-6-2"
|
||||
class="td11"><!--l. 778--><p class="noindent" ><span
|
||||
class="cmr-12">The communication descriptor associated to the matrix to be</span>
|
||||
<span
|
||||
class="cmr-12">preconditioned.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-7-"><td style="white-space:wrap; text-align:left;" id="TBL-14-7-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-7-"><td style="white-space:normal; text-align:left;" id="TBL-14-7-1"
|
||||
class="td11"><!--l. 780--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-7-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-7-2"
|
||||
class="td11"><!--l. 780--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -189,8 +189,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-8-"><td style="white-space:wrap; text-align:left;" id="TBL-14-8-1"
|
||||
class="td11"><!--l. 781--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-8-2"
|
||||
style="vertical-align:baseline;" id="TBL-14-8-"><td style="white-space:normal; text-align:left;" id="TBL-14-8-1"
|
||||
class="td11"><!--l. 781--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-8-2"
|
||||
class="td11"><!--l. 781--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -198,9 +198,9 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-9-"><td style="white-space:wrap; text-align:left;" id="TBL-14-9-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-9-"><td style="white-space:normal; text-align:left;" id="TBL-14-9-1"
|
||||
class="td11"><!--l. 782--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">trans</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-9-2"
|
||||
class="cmtt-12">trans</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-9-2"
|
||||
class="td11"><!--l. 782--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">character</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -215,8 +215,8 @@ class="cmtt-12">(</span><span
|
||||
class="cmtt-12">in</span><span
|
||||
class="cmtt-12">).</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-10-"><td style="white-space:wrap; text-align:left;" id="TBL-14-10-1"
|
||||
class="td11"><!--l. 783--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-10-2"
|
||||
style="vertical-align:baseline;" id="TBL-14-10-"><td style="white-space:normal; text-align:left;" id="TBL-14-10-1"
|
||||
class="td11"><!--l. 783--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-10-2"
|
||||
class="td11"><!--l. 783--><p class="noindent" ><span
|
||||
class="cmr-12">If </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">trans</span> <span
|
||||
@@ -290,9 +290,9 @@ class="cmsy-8">-</span><span
|
||||
class="cmr-8">1</span></sup><span
|
||||
class="cmr-12">).</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-11-"><td style="white-space:wrap; text-align:left;" id="TBL-14-11-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-11-"><td style="white-space:normal; text-align:left;" id="TBL-14-11-1"
|
||||
class="td11"><!--l. 787--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">work</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-14-11-2"
|
||||
class="cmtt-12">work</span> </td><td style="white-space:normal; text-align:left;" id="TBL-14-11-2"
|
||||
class="td11"><!--l. 787--><p class="noindent" ><span
|
||||
class="cmti-12">type</span><span class="lstinline"></span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -300,8 +300,8 @@ class="cmtt-12">kind_parameter</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">, dimension(:), optional, target—.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-12-"><td style="white-space:wrap; text-align:left;" id="TBL-14-12-1"
|
||||
class="td11"><!--l. 788--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-14-12-2"
|
||||
style="vertical-align:baseline;" id="TBL-14-12-"><td style="white-space:normal; text-align:left;" id="TBL-14-12-1"
|
||||
class="td11"><!--l. 788--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-14-12-2"
|
||||
class="td11"><!--l. 788--><p class="noindent" ><span
|
||||
class="cmr-12">Workspace. Its size should be at least </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">4</span><span
|
||||
@@ -328,7 +328,7 @@ class="cmr-12">,</span>
|
||||
<span
|
||||
class="cmr-12">single/double precision version of AMG4PSBLAS under use.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-14-13-"><td style="white-space:wrap; text-align:left;" id="TBL-14-13-1"
|
||||
style="vertical-align:baseline;" id="TBL-14-13-"><td style="white-space:normal; text-align:left;" id="TBL-14-13-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
@@ -57,9 +57,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-15-1g"><col
|
||||
id="TBL-15-1"><col
|
||||
id="TBL-15-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-15-1-"><td style="white-space:wrap; text-align:left;" id="TBL-15-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-15-1-"><td style="white-space:normal; text-align:left;" id="TBL-15-1-1"
|
||||
class="td11"><!--l. 809--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-15-1-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-15-1-2"
|
||||
class="td11"><!--l. 809--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -70,8 +70,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-15-2-"><td style="white-space:wrap; text-align:left;" id="TBL-15-2-1"
|
||||
class="td11"><!--l. 810--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-15-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-15-2-"><td style="white-space:normal; text-align:left;" id="TBL-15-2-1"
|
||||
class="td11"><!--l. 810--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-15-2-2"
|
||||
class="td11"><!--l. 810--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -81,7 +81,7 @@ class="cmr-12">for</span>
|
||||
<span
|
||||
class="cmr-12">details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-15-3-"><td style="white-space:wrap; text-align:left;" id="TBL-15-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-15-3-"><td style="white-space:normal; text-align:left;" id="TBL-15-3-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
+17
-17
@@ -75,9 +75,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-16-1g"><col
|
||||
id="TBL-16-1"><col
|
||||
id="TBL-16-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-1-"><td style="white-space:wrap; text-align:left;" id="TBL-16-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-16-1-"><td style="white-space:normal; text-align:left;" id="TBL-16-1-1"
|
||||
class="td11"><!--l. 830--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-16-1-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-16-1-2"
|
||||
class="td11"><!--l. 830--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -88,8 +88,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-2-"><td style="white-space:wrap; text-align:left;" id="TBL-16-2-1"
|
||||
class="td11"><!--l. 831--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-16-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-16-2-"><td style="white-space:normal; text-align:left;" id="TBL-16-2-1"
|
||||
class="td11"><!--l. 831--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-16-2-2"
|
||||
class="td11"><!--l. 831--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -97,9 +97,9 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span></td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-3-"><td style="white-space:wrap; text-align:left;" id="TBL-16-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-16-3-"><td style="white-space:normal; text-align:left;" id="TBL-16-3-1"
|
||||
class="td11"><!--l. 832--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">iout</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-16-3-2"
|
||||
class="cmtt-12">iout</span> </td><td style="white-space:normal; text-align:left;" id="TBL-16-3-2"
|
||||
class="td11"><!--l. 832--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -112,16 +112,16 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-4-"><td style="white-space:wrap; text-align:left;" id="TBL-16-4-1"
|
||||
class="td11"><!--l. 833--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-16-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-16-4-"><td style="white-space:normal; text-align:left;" id="TBL-16-4-1"
|
||||
class="td11"><!--l. 833--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-16-4-2"
|
||||
class="td11"><!--l. 833--><p class="noindent" ><span
|
||||
class="cmr-12">The id of the file where the preconditioner description will be</span>
|
||||
<span
|
||||
class="cmr-12">printed; the default is the standard output.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-5-"><td style="white-space:wrap; text-align:left;" id="TBL-16-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-16-5-"><td style="white-space:normal; text-align:left;" id="TBL-16-5-1"
|
||||
class="td11"><!--l. 835--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">root</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-16-5-2"
|
||||
class="cmtt-12">root</span> </td><td style="white-space:normal; text-align:left;" id="TBL-16-5-2"
|
||||
class="td11"><!--l. 835--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -134,8 +134,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-6-"><td style="white-space:wrap; text-align:left;" id="TBL-16-6-1"
|
||||
class="td11"><!--l. 836--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-16-6-2"
|
||||
style="vertical-align:baseline;" id="TBL-16-6-"><td style="white-space:normal; text-align:left;" id="TBL-16-6-1"
|
||||
class="td11"><!--l. 836--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-16-6-2"
|
||||
class="td11"><!--l. 836--><p class="noindent" ><span
|
||||
class="cmr-12">The id of the process where the preconditioner description</span>
|
||||
<span
|
||||
@@ -143,9 +143,9 @@ class="cmr-12">will be printed; the default is </span><span class="lstinline"></
|
||||
class="cmtt-12">psb_root_</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-7-"><td style="white-space:wrap; text-align:left;" id="TBL-16-7-1"
|
||||
style="vertical-align:baseline;" id="TBL-16-7-"><td style="white-space:normal; text-align:left;" id="TBL-16-7-1"
|
||||
class="td11"><!--l. 838--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">verbosity</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-16-7-2"
|
||||
class="cmtt-12">verbosity</span> </td><td style="white-space:normal; text-align:left;" id="TBL-16-7-2"
|
||||
class="td11"><!--l. 838--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -158,8 +158,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-8-"><td style="white-space:wrap; text-align:left;" id="TBL-16-8-1"
|
||||
class="td11"><!--l. 839--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-16-8-2"
|
||||
style="vertical-align:baseline;" id="TBL-16-8-"><td style="white-space:normal; text-align:left;" id="TBL-16-8-1"
|
||||
class="td11"><!--l. 839--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-16-8-2"
|
||||
class="td11"><!--l. 839--><p class="noindent" ><span
|
||||
class="cmr-12">The verbosity level of the description. Default value is 0. For</span>
|
||||
<span
|
||||
@@ -169,7 +169,7 @@ class="cmr-12">a distributed multilevel preconditioner the size of the coarse</s
|
||||
<span
|
||||
class="cmr-12">matrices on every process.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-16-9-"><td style="white-space:wrap; text-align:left;" id="TBL-16-9-1"
|
||||
style="vertical-align:baseline;" id="TBL-16-9-"><td style="white-space:normal; text-align:left;" id="TBL-16-9-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
+38
-38
@@ -77,9 +77,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-17-1g"><col
|
||||
id="TBL-17-1"><col
|
||||
id="TBL-17-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-17-1-"><td style="white-space:wrap; text-align:left;" id="TBL-17-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-17-1-"><td style="white-space:normal; text-align:left;" id="TBL-17-1-1"
|
||||
class="td11"><!--l. 862--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-17-1-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-17-1-2"
|
||||
class="td11"><!--l. 862--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -90,8 +90,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-17-2-"><td style="white-space:wrap; text-align:left;" id="TBL-17-2-1"
|
||||
class="td11"><!--l. 863--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-17-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-17-2-"><td style="white-space:normal; text-align:left;" id="TBL-17-2-1"
|
||||
class="td11"><!--l. 863--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-17-2-2"
|
||||
class="td11"><!--l. 863--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -99,9 +99,9 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-17-3-"><td style="white-space:wrap; text-align:left;" id="TBL-17-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-17-3-"><td style="white-space:normal; text-align:left;" id="TBL-17-3-1"
|
||||
class="td11"><!--l. 864--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">amold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-17-3-2"
|
||||
class="cmtt-12">amold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-17-3-2"
|
||||
class="td11"><!--l. 864--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -118,8 +118,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-17-4-"><td style="white-space:wrap; text-align:left;" id="TBL-17-4-1"
|
||||
class="td11"><!--l. 865--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-17-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-17-4-"><td style="white-space:normal; text-align:left;" id="TBL-17-4-1"
|
||||
class="td11"><!--l. 865--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-17-4-2"
|
||||
class="td11"><!--l. 865--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal matrix components; this</span>
|
||||
<span
|
||||
@@ -128,11 +128,11 @@ class="cmr-12">allows e.g. running on GPUs; it needs not be the same
|
||||
class="cmr-12">processes. See the PSBLAS User’s Guide for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-17-5-"><td style="white-space:wrap; text-align:left;" id="TBL-17-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-17-5-"><td style="white-space:normal; text-align:left;" id="TBL-17-5-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
<!--l. 872--><p class="noindent" >
|
||||
<h5 class="subsubsectionHead"><span class="titlemark"><span
|
||||
@@ -166,9 +166,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-18-1g"><col
|
||||
id="TBL-18-1"><col
|
||||
id="TBL-18-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-18-1-"><td style="white-space:wrap; text-align:left;" id="TBL-18-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-18-1-"><td style="white-space:normal; text-align:left;" id="TBL-18-1-1"
|
||||
class="td11"><!--l. 884--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">pout</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-18-1-2"
|
||||
class="cmtt-12">pout</span> </td><td style="white-space:normal; text-align:left;" id="TBL-18-1-2"
|
||||
class="td11"><!--l. 884--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -183,8 +183,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-18-2-"><td style="white-space:wrap; text-align:left;" id="TBL-18-2-1"
|
||||
class="td11"><!--l. 885--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-18-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-18-2-"><td style="white-space:normal; text-align:left;" id="TBL-18-2-1"
|
||||
class="td11"><!--l. 885--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-18-2-2"
|
||||
class="td11"><!--l. 885--><p class="noindent" ><span
|
||||
class="cmr-12">The copy of the preconditioner data structure. Note that </span><span
|
||||
class="cmti-12">x </span><span
|
||||
@@ -198,9 +198,9 @@ class="cmr-12">, single/double precision</span>
|
||||
<span
|
||||
class="cmr-12">version of AMG4PSBLAS under use.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-18-3-"><td style="white-space:wrap; text-align:left;" id="TBL-18-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-18-3-"><td style="white-space:normal; text-align:left;" id="TBL-18-3-1"
|
||||
class="td11"><!--l. 888--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-18-3-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-18-3-2"
|
||||
class="td11"><!--l. 888--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -211,8 +211,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-18-4-"><td style="white-space:wrap; text-align:left;" id="TBL-18-4-1"
|
||||
class="td11"><!--l. 889--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-18-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-18-4-"><td style="white-space:normal; text-align:left;" id="TBL-18-4-1"
|
||||
class="td11"><!--l. 889--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-18-4-2"
|
||||
class="td11"><!--l. 889--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -220,7 +220,7 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-18-5-"><td style="white-space:wrap; text-align:left;" id="TBL-18-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-18-5-"><td style="white-space:normal; text-align:left;" id="TBL-18-5-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
<!--l. 894--><p class="noindent" >
|
||||
<h5 class="subsubsectionHead"><span class="titlemark"><span
|
||||
@@ -247,9 +247,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-19-1g"><col
|
||||
id="TBL-19-1"><col
|
||||
id="TBL-19-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-19-1-"><td style="white-space:wrap; text-align:left;" id="TBL-19-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-19-1-"><td style="white-space:normal; text-align:left;" id="TBL-19-1-1"
|
||||
class="td11"><!--l. 901--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">global</span> </td> <td style="white-space:wrap; text-align:left;" id="TBL-19-1-2"
|
||||
class="cmtt-12">global</span> </td> <td style="white-space:normal; text-align:left;" id="TBL-19-1-2"
|
||||
class="td11"><!--l. 901--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">logical</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -257,8 +257,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-19-2-"><td style="white-space:wrap; text-align:left;" id="TBL-19-2-1"
|
||||
class="td11"><!--l. 902--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-19-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-19-2-"><td style="white-space:normal; text-align:left;" id="TBL-19-2-1"
|
||||
class="td11"><!--l. 902--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-19-2-2"
|
||||
class="td11"><!--l. 902--><p class="noindent" ><span
|
||||
class="cmr-12">Whether the global or local preconditioner memory occupatio is</span>
|
||||
<span
|
||||
@@ -268,7 +268,7 @@ class="cmtt-12">false</span><span
|
||||
class="cmtt-12">.</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-19-3-"><td style="white-space:wrap; text-align:left;" id="TBL-19-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-19-3-"><td style="white-space:normal; text-align:left;" id="TBL-19-3-1"
|
||||
class="td11"> </td> </tr></table>
|
||||
</div> <span
|
||||
class="cmr-12">Return memory footprint in bytes.</span>
|
||||
@@ -333,9 +333,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-20-1g"><col
|
||||
id="TBL-20-1"><col
|
||||
id="TBL-20-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-20-1-"><td style="white-space:wrap; text-align:left;" id="TBL-20-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-20-1-"><td style="white-space:normal; text-align:left;" id="TBL-20-1-1"
|
||||
class="td11"><!--l. 934--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-20-1-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-20-1-2"
|
||||
class="td11"><!--l. 934--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -346,8 +346,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-20-2-"><td style="white-space:wrap; text-align:left;" id="TBL-20-2-1"
|
||||
class="td11"><!--l. 935--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-20-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-20-2-"><td style="white-space:normal; text-align:left;" id="TBL-20-2-1"
|
||||
class="td11"><!--l. 935--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-20-2-2"
|
||||
class="td11"><!--l. 935--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -355,9 +355,9 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-20-3-"><td style="white-space:wrap; text-align:left;" id="TBL-20-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-20-3-"><td style="white-space:normal; text-align:left;" id="TBL-20-3-1"
|
||||
class="td11"><!--l. 936--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">vmold</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-20-3-2"
|
||||
class="cmtt-12">vmold</span> </td><td style="white-space:normal; text-align:left;" id="TBL-20-3-2"
|
||||
class="td11"><!--l. 936--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">class</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -374,14 +374,14 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">optional</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-20-4-"><td style="white-space:wrap; text-align:left;" id="TBL-20-4-1"
|
||||
class="td11"><!--l. 937--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-20-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-20-4-"><td style="white-space:normal; text-align:left;" id="TBL-20-4-1"
|
||||
class="td11"><!--l. 937--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-20-4-2"
|
||||
class="td11"><!--l. 937--><p class="noindent" ><span
|
||||
class="cmr-12">The desired dynamic type for internal vector components; this</span>
|
||||
<span
|
||||
class="cmr-12">allows e.g. running on GPUs.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-20-5-"><td style="white-space:wrap; text-align:left;" id="TBL-20-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-20-5-"><td style="white-space:normal; text-align:left;" id="TBL-20-5-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
<!--l. 943--><p class="noindent" >
|
||||
<h5 class="subsubsectionHead"><span class="titlemark"><span
|
||||
@@ -411,9 +411,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-21-1g"><col
|
||||
id="TBL-21-1"><col
|
||||
id="TBL-21-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-21-1-"><td style="white-space:wrap; text-align:left;" id="TBL-21-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-21-1-"><td style="white-space:normal; text-align:left;" id="TBL-21-1-1"
|
||||
class="td11"><!--l. 955--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-21-1-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-21-1-2"
|
||||
class="td11"><!--l. 955--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -424,8 +424,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-21-2-"><td style="white-space:wrap; text-align:left;" id="TBL-21-2-1"
|
||||
class="td11"><!--l. 956--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-21-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-21-2-"><td style="white-space:normal; text-align:left;" id="TBL-21-2-1"
|
||||
class="td11"><!--l. 956--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-21-2-2"
|
||||
class="td11"><!--l. 956--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -433,7 +433,7 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-21-3-"><td style="white-space:wrap; text-align:left;" id="TBL-21-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-21-3-"><td style="white-space:normal; text-align:left;" id="TBL-21-3-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
@@ -44,7 +44,7 @@ class="cmbx-12">UMFPACK</span> </dt><dd
|
||||
class="description"><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XUMFPACK"><span
|
||||
class="cmr-12">13</span></a><span
|
||||
class="cmr-12">14</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">A sparse LU factorization package included in the SuiteSparse</span>
|
||||
<span
|
||||
@@ -86,7 +86,7 @@ class="cmbx-12">SuperLU</span> </dt><dd
|
||||
class="description"><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XSUPERLU"><span
|
||||
class="cmr-12">14</span></a><span
|
||||
class="cmr-12">15</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">A sparse LU factorization package available from</span>
|
||||
<a
|
||||
@@ -108,7 +108,7 @@ class="cmbx-12">_Dist</span> </dt><dd
|
||||
class="description"><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XSUPERLUDIST"><span
|
||||
class="cmr-12">23</span></a><span
|
||||
class="cmr-12">24</span></a><span
|
||||
class="cmr-12">]</span></span> <span
|
||||
class="cmr-12">A sparse LU factorization package available from the same</span>
|
||||
<span
|
||||
|
||||
@@ -687,7 +687,8 @@ class="cmtt-12"> </span><span
|
||||
class="cmtt-12">‘--</span><span
|
||||
class="cmtt-12">prefix</span><span
|
||||
class="cmtt-12">=</span><span
|
||||
class="cmtt-12">$HOME</span><span
|
||||
class="tctt-1200">$</span><span
|
||||
class="cmtt-12">HOME</span><span
|
||||
class="cmtt-12">’.</span><span
|
||||
class="cmtt-12"> </span><br /><span class="label"><a
|
||||
id="x11-10032r31"></a></span><span
|
||||
|
||||
+43
-38
@@ -66,7 +66,7 @@ class="cmr-12">program.</span>
|
||||
<!--l. 126--><p class="indent" > <span
|
||||
class="cmr-12">The part of the code dealing with reading and assembling the sparse matrix and the</span>
|
||||
<span
|
||||
class="cmr-12">right-hand side vector and the deallocation of the relevant data structured, performed</span>
|
||||
class="cmr-12">right-hand side vector and the deallocation of the relevant data structures, performed</span>
|
||||
<span
|
||||
class="cmr-12">through the PSBLAS routines for sparse matrix and vector management, is not</span>
|
||||
<span
|
||||
@@ -92,7 +92,7 @@ class="cmr-12">the use of the PSBLAS routines, see the PSBLAS User’s Guide
|
||||
class="cmr-12"> </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span>
|
||||
<!--l. 138--><p class="indent" > <span
|
||||
@@ -203,54 +203,58 @@ href="#x15-14002r2"><span
|
||||
class="cmr-12">2</span><!--tex4ht:ref: fig:ex2 --></a> <span
|
||||
class="cmr-12">shows</span>
|
||||
<span
|
||||
class="cmr-12">how to set a V-cycle preconditioner which applies 1 block-Jacobi sweep as pre- and</span>
|
||||
class="cmr-12">how to set a V-cycle preconditioner which applies 1 block-Jacobi sweep as pre-</span>
|
||||
<span
|
||||
class="cmr-12">post-smoother, and solves the coarsest-level system with 8 block-Jacobi sweeps. Note</span>
|
||||
class="cmr-12">and post-smoother, and solves the coarsest-level system with 8 block-Jacobi</span>
|
||||
<span
|
||||
class="cmr-12">that the ILU(0) factorization (plus triangular solve) is used as local solver for the</span>
|
||||
class="cmr-12">sweeps. Note that the ILU(0) factorization (plus triangular solve) is used as</span>
|
||||
<span
|
||||
class="cmr-12">block-Jacobi sweeps, since this is the default associated with block-Jacobi</span>
|
||||
class="cmr-12">local solver for the block-Jacobi sweeps, since this is the default associated</span>
|
||||
<span
|
||||
class="cmr-12">and set by</span><span
|
||||
class="cmr-12">with block-Jacobi and set by</span><span
|
||||
class="cmr-12"> </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">P</span><span
|
||||
class="cmtt-12">%</span><span
|
||||
class="cmtt-12">init</span><span
|
||||
class="cmr-12">. Furthermore, specifying block-Jacobi as coarsest-level</span>
|
||||
class="cmr-12">. Furthermore, specifying block-Jacobi as</span>
|
||||
<span
|
||||
class="cmr-12">solver implies that the coarsest-level matrix is distributed among the processes.</span>
|
||||
class="cmr-12">coarsest-level solver implies that the coarsest-level matrix is distributed among</span>
|
||||
<span
|
||||
class="cmr-12">Figure</span><span
|
||||
class="cmr-12">the processes. Figure</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="#x15-14003r3"><span
|
||||
class="cmr-12">3</span><!--tex4ht:ref: fig:ex3 --></a> <span
|
||||
class="cmr-12">shows how to set a W-cycle preconditioner using the Coarsening</span>
|
||||
class="cmr-12">shows how to set a W-cycle preconditioner using the</span>
|
||||
<span
|
||||
class="cmr-12">based on Compatible Weighted Matching. It applies 2 hybrid Gauss-Seidel</span>
|
||||
class="cmr-12">Coarsening based on Compatible Weighted Matching, aggregates of size at</span>
|
||||
<span
|
||||
class="cmr-12">sweeps as pre- and post-smoother, and solves the coarsest-level system with the</span>
|
||||
class="cmr-12">most 8 and smoothed prolongators. It applies 2 hybrid Gauss-Seidel sweeps as</span>
|
||||
<span
|
||||
class="cmr-12">multifrontal LU factorization implemented in MUMPS. It is specified that the</span>
|
||||
class="cmr-12">pre- and post-smoother, and solves the coarsest-level system with the parallel</span>
|
||||
<span
|
||||
class="cmr-12">coarsest-level matrix is distributed, since MUMPS can be used on both replicated and</span>
|
||||
class="cmr-12">flexible Conjugate Gradient method (KRM) coupled with the block-Jacobi</span>
|
||||
<span
|
||||
class="cmr-12">distributed matrices, and by default it is used on replicated ones. The code</span>
|
||||
class="cmr-12">preconditioner having ILU(0) on the blocks. Default parameters are used for stopping</span>
|
||||
<span
|
||||
class="cmr-12">fragments shown in Figures</span><span
|
||||
class="cmr-12">criterion of the coarsest solver. Note that, also in this case, specifying KRM as</span>
|
||||
<span
|
||||
class="cmr-12">coarsest-level solver implies that the coarsest-level matrix is distributed among the</span>
|
||||
<span
|
||||
class="cmr-12">processes.</span>
|
||||
<!--l. 291--><p class="indent" > <span
|
||||
class="cmr-12">The code fragments shown in Figures</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="#x15-14002r2"><span
|
||||
class="cmr-12">2</span><!--tex4ht:ref: fig:ex2 --></a> <span
|
||||
class="cmr-12">and </span><a
|
||||
href="#x15-14003r3"><span
|
||||
class="cmr-12">3</span><!--tex4ht:ref: fig:ex3 --></a> <span
|
||||
class="cmr-12">are included in the example program file</span>
|
||||
<span class="obeylines-h"><span class="verb"><span
|
||||
class="cmtt-12">amg_dexample_ml.f90</span></span></span> <span
|
||||
class="cmr-12">too. </span><span
|
||||
class="cmbx-12">DA CORREGGERE NEL CODICE ESEMPIO</span>
|
||||
class="cmr-12">are included in the example program</span>
|
||||
<span
|
||||
class="cmbx-12">3</span>
|
||||
<!--l. 288--><p class="indent" > <span
|
||||
class="cmr-12">file </span><span class="obeylines-h"><span class="verb"><span
|
||||
class="cmtt-12">amg_dexample_ml.f90</span></span></span> <span
|
||||
class="cmr-12">too.</span>
|
||||
<!--l. 294--><p class="indent" > <span
|
||||
class="cmr-12">Finally, Figure</span><span
|
||||
class="cmr-12"> </span><a
|
||||
href="#x15-14004r4"><span
|
||||
@@ -265,7 +269,7 @@ class="cmr-12">nonsymmetric. The corresponding example program is available in t
|
||||
<span class="obeylines-h"><span class="verb"><span
|
||||
class="cmtt-12">amg_dexample_1lev.f90</span></span></span><span
|
||||
class="cmr-12">.</span>
|
||||
<!--l. 295--><p class="indent" > <span
|
||||
<!--l. 301--><p class="indent" > <span
|
||||
class="cmr-12">For all the previous preconditioners, example programs where the sparse matrix</span>
|
||||
<span
|
||||
class="cmr-12">and the right-hand side are generated by discretizing a PDE with Dirichlet</span>
|
||||
@@ -276,7 +280,7 @@ class="cmr-12">.</span>
|
||||
|
||||
|
||||
|
||||
<!--l. 298--><p class="indent" > <a
|
||||
<!--l. 304--><p class="indent" > <a
|
||||
id="x15-14002r2"></a><hr class="float"><div class="float"
|
||||
>
|
||||
|
||||
@@ -284,7 +288,7 @@ class="cmr-12">.</span>
|
||||
|
||||
<div class="center"
|
||||
>
|
||||
<!--l. 312--><p class="noindent" >
|
||||
<!--l. 318--><p class="noindent" >
|
||||
<div class="minipage"><div class="verbatim" id="verbatim-7">
|
||||
... ...
|
||||
 <br />! build a V-cycle preconditioner with 1 block-Jacobi sweep (with
|
||||
@@ -298,7 +302,7 @@ class="cmr-12">.</span>
|
||||
 <br />  call P%smoothers_build(A,desc_A,info)
|
||||
 <br />... ...
|
||||
</div>
|
||||
<!--l. 327--><p class="nopar" ></div></div>
|
||||
<!--l. 333--><p class="nopar" ></div></div>
|
||||
<br /><div class="caption"
|
||||
><span class="id">Listing 2: </span><span
|
||||
class="content">setup of a multilevel preconditioner based on the default decoupled coarsening</span></div><!--tex4ht:label?: x15-14002r2 -->
|
||||
@@ -309,7 +313,7 @@ class="content">setup of a multilevel preconditioner based on the default decoup
|
||||
|
||||
|
||||
|
||||
<!--l. 334--><p class="indent" > <a
|
||||
<!--l. 340--><p class="indent" > <a
|
||||
id="x15-14003r3"></a><hr class="float"><div class="float"
|
||||
>
|
||||
|
||||
@@ -317,7 +321,7 @@ class="content">setup of a multilevel preconditioner based on the default decoup
|
||||
|
||||
<div class="center"
|
||||
>
|
||||
<!--l. 351--><p class="noindent" >
|
||||
<!--l. 360--><p class="noindent" >
|
||||
<div class="minipage"><div class="verbatim" id="verbatim-8">
|
||||
... ...
|
||||
 <br />! build a W-cycle preconditioner with 2 hybrid Gauss-Seidel sweeps
|
||||
@@ -325,20 +329,21 @@ class="content">setup of a multilevel preconditioner based on the default decoup
|
||||
 <br />! matrix, and MUMPS as coarsest-level solver
|
||||
 <br />  call P%init(’ML’,info)
|
||||
 <br />  call P%set(’PAR_AGGR_ALG’,’COUPLED’,info)
|
||||
 <br />call P%set(’AGGR_TYPE’,’MATCHBOXP’,info)
|
||||
 <br />call P%set(’AGGR_SIZE’,8,info)
|
||||
 <br />  call P%set(’ML_CYCLE’,’WCYCLE’,info)
|
||||
 <br />  call P%set(’SMOOTHER_TYPE’,’FBGS’,info)
|
||||
 <br />  call P%set(’SMOOTHER_SWEEPS’,2,info)
|
||||
 <br />  call P%set(’COARSE_SOLVE’,’MUMPS’,info)
|
||||
 <br />  call P%set(’COARSE_MAT’,’DIST’,info)
|
||||
 <br />  call P%set(’COARSE_SOLVE’,’KRM’,info)
|
||||
 <br />  call P%hierarchy_build(A,desc_A,info)
|
||||
 <br />  call P%smoothers_build(A,desc_A,info)
|
||||
 <br />... ...
|
||||
</div>
|
||||
<!--l. 369--><p class="nopar" ></div></div>
|
||||
<!--l. 379--><p class="nopar" ></div></div>
|
||||
<br /> <div class="caption"
|
||||
><span class="id">Listing 3: </span><span
|
||||
class="content">setup of a multilevel preconditioner based on the coupled coarsening based
|
||||
on weighted matching</span></div><!--tex4ht:label?: x15-14003r3 -->
|
||||
class="content">setup of a multilevel preconditioner based on the coupled coarsening using
|
||||
weighted matching</span></div><!--tex4ht:label?: x15-14003r3 -->
|
||||
|
||||
|
||||
|
||||
@@ -346,7 +351,7 @@ on weighted matching</span></div><!--tex4ht:label?: x15-14003r3 -->
|
||||
|
||||
|
||||
|
||||
<!--l. 376--><p class="indent" > <a
|
||||
<!--l. 386--><p class="indent" > <a
|
||||
id="x15-14004r4"></a><hr class="float"><div class="float"
|
||||
>
|
||||
|
||||
@@ -354,7 +359,7 @@ on weighted matching</span></div><!--tex4ht:label?: x15-14003r3 -->
|
||||
|
||||
<div class="center"
|
||||
>
|
||||
<!--l. 393--><p class="noindent" >
|
||||
<!--l. 398--><p class="noindent" >
|
||||
<div class="minipage"><div class="verbatim" id="verbatim-9">
|
||||
... ...
|
||||
 <br />! set RAS with overlap 2 and ILU(0) on the local blocks
|
||||
@@ -365,7 +370,7 @@ on weighted matching</span></div><!--tex4ht:label?: x15-14003r3 -->
|
||||
 <br />! solve Ax=b with preconditioned BiCGSTAB
|
||||
 <br />  call psb_krylov(’BICGSTAB’,A,P,b,x,tol,desc_A,info)
|
||||
</div>
|
||||
<!--l. 405--><p class="nopar" ></div></div>
|
||||
<!--l. 410--><p class="nopar" ></div></div>
|
||||
<br /> <div class="caption"
|
||||
><span class="id">Listing 4: </span><span
|
||||
class="content">setup of a one-level Schwarz preconditioner.</span></div><!--tex4ht:label?: x15-14004r4 -->
|
||||
|
||||
+15
-15
@@ -54,9 +54,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-2-1g"><col
|
||||
id="TBL-2-1"><col
|
||||
id="TBL-2-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-1-"><td style="white-space:wrap; text-align:left;" id="TBL-2-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-2-1-"><td style="white-space:normal; text-align:left;" id="TBL-2-1-1"
|
||||
class="td11"><!--l. 56--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">contxt</span> </td> <td style="white-space:wrap; text-align:left;" id="TBL-2-1-2"
|
||||
class="cmtt-12">contxt</span> </td> <td style="white-space:normal; text-align:left;" id="TBL-2-1-2"
|
||||
class="td11"><!--l. 56--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -69,13 +69,13 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-2-"><td style="white-space:wrap; text-align:left;" id="TBL-2-2-1"
|
||||
class="td11"><!--l. 57--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-2-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-2-2-"><td style="white-space:normal; text-align:left;" id="TBL-2-2-1"
|
||||
class="td11"><!--l. 57--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-2-2-2"
|
||||
class="td11"><!--l. 57--><p class="noindent" ><span
|
||||
class="cmr-12">The communication context.</span> </td></tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-3-"><td style="white-space:wrap; text-align:left;" id="TBL-2-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-2-3-"><td style="white-space:normal; text-align:left;" id="TBL-2-3-1"
|
||||
class="td11"><!--l. 58--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">ptype</span> </td> <td style="white-space:wrap; text-align:left;" id="TBL-2-3-2"
|
||||
class="cmtt-12">ptype</span> </td> <td style="white-space:normal; text-align:left;" id="TBL-2-3-2"
|
||||
class="td11"><!--l. 58--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">character</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -88,8 +88,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span> <span
|
||||
class="cmr-12">.</span></td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-4-"><td style="white-space:wrap; text-align:left;" id="TBL-2-4-1"
|
||||
class="td11"><!--l. 59--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-2-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-2-4-"><td style="white-space:normal; text-align:left;" id="TBL-2-4-1"
|
||||
class="td11"><!--l. 59--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-2-4-2"
|
||||
class="td11"><!--l. 59--><p class="noindent" ><span
|
||||
class="cmr-12">The type of preconditioner. Its values are specified in Table</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -97,14 +97,14 @@ href="userhtmlse4.html#x14-13015r1"><span
|
||||
class="cmr-12">1</span><!--tex4ht:ref: tab:precinit --></a><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-5-"><td style="white-space:wrap; text-align:left;" id="TBL-2-5-1"
|
||||
class="td11"><!--l. 61--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-2-5-2"
|
||||
style="vertical-align:baseline;" id="TBL-2-5-"><td style="white-space:normal; text-align:left;" id="TBL-2-5-1"
|
||||
class="td11"><!--l. 61--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-2-5-2"
|
||||
class="td11"><!--l. 61--><p class="noindent" ><span
|
||||
class="cmr-12">Note that strings are case insensitive.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-6-"><td style="white-space:wrap; text-align:left;" id="TBL-2-6-1"
|
||||
style="vertical-align:baseline;" id="TBL-2-6-"><td style="white-space:normal; text-align:left;" id="TBL-2-6-1"
|
||||
class="td11"><!--l. 62--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-2-6-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-2-6-2"
|
||||
class="td11"><!--l. 62--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -115,8 +115,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-7-"><td style="white-space:wrap; text-align:left;" id="TBL-2-7-1"
|
||||
class="td11"><!--l. 63--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-2-7-2"
|
||||
style="vertical-align:baseline;" id="TBL-2-7-"><td style="white-space:normal; text-align:left;" id="TBL-2-7-1"
|
||||
class="td11"><!--l. 63--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-2-7-2"
|
||||
class="td11"><!--l. 63--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -124,7 +124,7 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-2-8-"><td style="white-space:wrap; text-align:left;" id="TBL-2-8-1"
|
||||
style="vertical-align:baseline;" id="TBL-2-8-"><td style="white-space:normal; text-align:left;" id="TBL-2-8-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
+249
-251
File diff suppressed because it is too large
Load Diff
+15
-15
@@ -68,9 +68,9 @@ cellspacing="0" cellpadding="0"
|
||||
><colgroup id="TBL-11-1g"><col
|
||||
id="TBL-11-1"><col
|
||||
id="TBL-11-2"></colgroup><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-1-"><td style="white-space:wrap; text-align:left;" id="TBL-11-1-1"
|
||||
style="vertical-align:baseline;" id="TBL-11-1-"><td style="white-space:normal; text-align:left;" id="TBL-11-1-1"
|
||||
class="td11"><!--l. 645--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">a</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-11-1-2"
|
||||
class="cmtt-12">a</span> </td><td style="white-space:normal; text-align:left;" id="TBL-11-1-2"
|
||||
class="td11"><!--l. 645--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -85,8 +85,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-2-"><td style="white-space:wrap; text-align:left;" id="TBL-11-2-1"
|
||||
class="td11"><!--l. 646--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-11-2-2"
|
||||
style="vertical-align:baseline;" id="TBL-11-2-"><td style="white-space:normal; text-align:left;" id="TBL-11-2-1"
|
||||
class="td11"><!--l. 646--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-11-2-2"
|
||||
class="td11"><!--l. 646--><p class="noindent" ><span
|
||||
class="cmr-12">The sparse matrix structure containing the local part of the matrix</span>
|
||||
<span
|
||||
@@ -102,13 +102,13 @@ class="cmr-12">, single/double precision version of AMG4PSBLAS</span>
|
||||
class="cmr-12">under use. See the PSBLAS User’s Guide for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-3-"><td style="white-space:wrap; text-align:left;" id="TBL-11-3-1"
|
||||
style="vertical-align:baseline;" id="TBL-11-3-"><td style="white-space:normal; text-align:left;" id="TBL-11-3-1"
|
||||
class="td11"><!--l. 651--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:wrap; text-align:left;" id="TBL-11-3-2"
|
||||
class="cmtt-12">desc_a</span></td><td style="white-space:normal; text-align:left;" id="TBL-11-3-2"
|
||||
class="td11"><!--l. 651--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">type</span><span
|
||||
class="cmtt-12">(</span><span
|
||||
@@ -121,8 +121,8 @@ class="cmtt-12">in</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-4-"><td style="white-space:wrap; text-align:left;" id="TBL-11-4-1"
|
||||
class="td11"><!--l. 652--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-11-4-2"
|
||||
style="vertical-align:baseline;" id="TBL-11-4-"><td style="white-space:normal; text-align:left;" id="TBL-11-4-1"
|
||||
class="td11"><!--l. 652--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-11-4-2"
|
||||
class="td11"><!--l. 652--><p class="noindent" ><span
|
||||
class="cmr-12">The communication descriptor of </span><span class="lstinline"></span><span
|
||||
class="cmtt-12">a</span><span
|
||||
@@ -131,13 +131,13 @@ class="cmr-12">. See the PSBLAS User’s Guide</span>
|
||||
class="cmr-12">for details </span><span class="cite"><span
|
||||
class="cmr-12">[</span><a
|
||||
href="userhtmlli5.html#XPSBLASGUIDE"><span
|
||||
class="cmr-12">17</span></a><span
|
||||
class="cmr-12">18</span></a><span
|
||||
class="cmr-12">]</span></span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-5-"><td style="white-space:wrap; text-align:left;" id="TBL-11-5-1"
|
||||
style="vertical-align:baseline;" id="TBL-11-5-"><td style="white-space:normal; text-align:left;" id="TBL-11-5-1"
|
||||
class="td11"><!--l. 654--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">info</span> </td><td style="white-space:wrap; text-align:left;" id="TBL-11-5-2"
|
||||
class="cmtt-12">info</span> </td><td style="white-space:normal; text-align:left;" id="TBL-11-5-2"
|
||||
class="td11"><!--l. 654--><p class="noindent" ><span class="lstinline"></span><span
|
||||
class="cmtt-12">integer</span><span
|
||||
class="cmtt-12">,</span><span
|
||||
@@ -148,8 +148,8 @@ class="cmtt-12">out</span><span
|
||||
class="cmtt-12">)</span><span
|
||||
class="cmr-12">.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-6-"><td style="white-space:wrap; text-align:left;" id="TBL-11-6-1"
|
||||
class="td11"><!--l. 655--><p class="noindent" > </td><td style="white-space:wrap; text-align:left;" id="TBL-11-6-2"
|
||||
style="vertical-align:baseline;" id="TBL-11-6-"><td style="white-space:normal; text-align:left;" id="TBL-11-6-1"
|
||||
class="td11"><!--l. 655--><p class="noindent" > </td><td style="white-space:normal; text-align:left;" id="TBL-11-6-2"
|
||||
class="td11"><!--l. 655--><p class="noindent" ><span
|
||||
class="cmr-12">Error code. If no error, 0 is returned. See Section</span><span
|
||||
class="cmr-12"> </span><a
|
||||
@@ -157,7 +157,7 @@ href="userhtmlse7.html#x27-310007"><span
|
||||
class="cmr-12">7</span><!--tex4ht:ref: sec:errors --></a> <span
|
||||
class="cmr-12">for details.</span> </td>
|
||||
</tr><tr
|
||||
style="vertical-align:baseline;" id="TBL-11-7-"><td style="white-space:wrap; text-align:left;" id="TBL-11-7-1"
|
||||
style="vertical-align:baseline;" id="TBL-11-7-"><td style="white-space:normal; text-align:left;" id="TBL-11-7-1"
|
||||
class="td11"> </td> </tr></table></div>
|
||||
|
||||
|
||||
|
||||
@@ -6,11 +6,11 @@
|
||||
\textsc{AMG4PSBLAS (Algebraic MultiGrid Preconditioners Package
|
||||
based on PSBLAS}) is a package of parallel algebraic multilevel preconditioners included in the PSCToolkit (Parallel Sparse Computation Toolkit) software framework.
|
||||
It is a progress of a software development project started in 2007, named MLD2P4, which originally implemented a
|
||||
multilevel version of some domain decomposition preconditioners of additive-Schwarz type and was based on a parallel decoupled version of the well known smoothed
|
||||
multilevel version of some domain decomposition preconditioners of additive-Schwarz type, and was based on a parallel decoupled version of the well known smoothed
|
||||
aggregation method to generate the multilevel hierarchy of coarser matrices.
|
||||
In the last years, within the context of the EU-H2020 EoCoE project (Energy Oriented Center of Excellence), the package was extended for including new algorithms and
|
||||
functionalities for the setup and application new AMG preconditioners with the final aims of improving efficiency and scalability when tens of thousands cores are
|
||||
used and of boosting reliability in dealing with general symmetric positive definite linear systems.
|
||||
used, and of boosting reliability in dealing with general symmetric positive definite linear systems.
|
||||
Due to the significant number of changes and the increase in scope, we decided to rename the package as AMG4PSBLAS.
|
||||
|
||||
AMG4PSBLAS has been designed to provide scalable and easy-to-use preconditioners
|
||||
|
||||
+10
-16
@@ -43,6 +43,7 @@ A.~Buttari, P.~D'Ambra, D.~di~Serafino, S.~Filippone,
|
||||
for scientific and engineering applications},
|
||||
Applicable Algebra in Engineering, Communications and Computing,
|
||||
18 (3) 2007, 223--239.
|
||||
%
|
||||
%Published online: 13 February 2007, {\tt http://dx.doi.org/10.1007/s00200-007-0035-z}
|
||||
%
|
||||
\bibitem{CAI_SARKIS}
|
||||
@@ -76,11 +77,15 @@ P.~D'Ambra, D.~di~Serafino, S.~Filippone,
|
||||
Algebraic Domain Decomposition Preconditioners
|
||||
in Fortran 95}, ACM Trans. Math. Softw., 37(3), 2010, art. 30.
|
||||
%
|
||||
\bibitem{BDDF2007}
|
||||
A.~Buttari, P.~D'Ambra, D.~di Serafino, S.~Filippone,
|
||||
\emph{2{LEV}-{D}2{P}4: a Package of High-Performance Preconditioners
|
||||
for Scientific and Engineering Applications}, Appl. Algebra Engrg. Comm. Comput.,
|
||||
18(3), 2007, 223--239.
|
||||
\bibitem{DV2013}
|
||||
P.~D'Ambra and P.\,S.~Vassilevski,
|
||||
{\em Adaptive AMG with coarsening based on compatible weighted matching},
|
||||
Computing and Visualization in Science, 16, (2013) 59--76.
|
||||
%
|
||||
\bibitem{DFV2018}
|
||||
P.~D'Ambra, S.~Filippone and P.\,S.~Vassilevski,
|
||||
{\em BootCMatch: a software package for bootstrap AMG based on graph weighted matching},
|
||||
ACM Transactions on Mathematical Software, 44, (2018) 39:1--39:25.
|
||||
%
|
||||
\bibitem{DDF2020}
|
||||
P.~D'Ambra, F~Durastante, S.~Filippone,
|
||||
@@ -139,7 +144,6 @@ ACM Transactions on Mathematical Software, 26 (4), 2000, 527--550.
|
||||
S. Gratton, P. Henon, P. Jiranek and X. Vasseur,
|
||||
{\em Reducing complexity of algebraic multigrid by aggregation},
|
||||
Numerical Lin. Algebra with Applications, 2016, 23:501-518
|
||||
|
||||
%
|
||||
\bibitem{MPI2}
|
||||
W.~Gropp, S.~Huss-Lederman, A.~Lumsdaine, E.~Lusk, B.~Nitzberg, W.~Saphir, M.~Snir,
|
||||
@@ -192,14 +196,4 @@ P.~Van\v{e}k, J.~Mandel, M.~Brezina,
|
||||
{\em Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems},
|
||||
Computing, 56 (3) 1996, 179--196.
|
||||
%
|
||||
\bibitem{DV2013}
|
||||
P.~D'Ambra and P.\,S.~Vassilevski,
|
||||
{\em Adaptive AMG with coarsening based on compatible weighted matching},
|
||||
Computing and Visualization in Science, 16, (2013) 59--76.
|
||||
%
|
||||
\bibitem{DFV2018}
|
||||
P.~D'Ambra, S.~Filippone and P.\,S.~Vassilevski,
|
||||
{\em BootCMatch: a software package for bootstrap AMG based on graph weighted matching},
|
||||
ACM Transactions on Mathematical Software, 44, (2018) 39:1--39:25.
|
||||
%
|
||||
\end{thebibliography}
|
||||
|
||||
+33
-28
@@ -125,7 +125,7 @@ must be used by the example program.
|
||||
|
||||
The part of the code dealing with reading and assembling the sparse
|
||||
matrix and the right-hand side vector and the deallocation of the
|
||||
relevant data structured, performed
|
||||
relevant data structures, performed
|
||||
through the PSBLAS routines for sparse matrix and vector management, is not reported
|
||||
here for the sake of conciseness.
|
||||
The complete code can be found in the example program file \verb|amg_dexample_ml.f90|,
|
||||
@@ -272,18 +272,24 @@ with block-Jacobi and set by~\fortinline|P%init|.
|
||||
Furthermore, specifying block-Jacobi as coarsest-level
|
||||
solver implies that the coarsest-level matrix is distributed
|
||||
among the processes.
|
||||
Figure~\ref{fig:ex3} shows how to set a W-cycle preconditioner using the Coarsening based on Compatible Weighted Matching. It applies
|
||||
Figure~\ref{fig:ex3} shows how to set a W-cycle preconditioner using the Coarsening based on Compatible Weighted Matching, aggregates of size at most $8$ and smoothed prolongators. It applies
|
||||
2 hybrid Gauss-Seidel sweeps as pre- and post-smoother,
|
||||
and solves the coarsest-level system with the multifrontal LU factorization
|
||||
implemented in MUMPS. It is specified that the coarsest-level
|
||||
matrix is distributed, since MUMPS can be used on both
|
||||
replicated and distributed matrices, and by default
|
||||
it is used on replicated ones.
|
||||
and solves the coarsest-level system with the parallel flexible Conjugate Gradient method (KRM) coupled with the block-Jacobi preconditioner having ILU(0) on the blocks. Default parameters are used for stopping criterion of the coarsest solver.
|
||||
Note that, also in this case, specifying KRM as coarsest-level
|
||||
solver implies that the coarsest-level matrix is distributed
|
||||
among the processes.
|
||||
%It is specified that the coarsest-level
|
||||
|
||||
%matrix is distributed, since MUMPS can be used on both
|
||||
|
||||
%replicated and distributed matrices, and by default
|
||||
|
||||
%it is used on replicated ones.
|
||||
%Note the use of the parameter \fortinline|pos|
|
||||
%to specify a property only for the pre-smoother or the post-smoother
|
||||
%(see Section~\ref{sec:precset} for more details).
|
||||
The code fragments shown in Figures~\ref{fig:ex2} and \ref{fig:ex3} are
|
||||
included in the example program file \verb|amg_dexample_ml.f90| too. \textbf{DA CORREGGERE NEL CODICE ESEMPIO 3}
|
||||
included in the example program file \verb|amg_dexample_ml.f90| too.
|
||||
|
||||
Finally, Figure~\ref{fig:ex4} shows the setup of a one-level
|
||||
additive Schwarz preconditioner, i.e., RAS with overlap 2.
|
||||
@@ -334,16 +340,19 @@ call P%smoothers_build(A,desc_A,info)
|
||||
\begin{listing}[h!]
|
||||
\ifpdf
|
||||
\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran}
|
||||
! build a W-cycle preconditioner with 2 hybrid Gauss-Seidel sweeps
|
||||
! as pre- and post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
!build a W-cycle using the coupled coarsening based on weighted matching,
|
||||
!aggregates of size at most 8 and smoothed prolongators,
|
||||
!2 hybrid Gauss-Seidel sweeps as pre- and post-smoother,
|
||||
!and parallel flexible Conjugate Gradient coupled with the block-Jacobi
|
||||
!preconditioner having ILU(0) on the blocks as coarsest solver.
|
||||
call P%init('ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_TYPE','FBGS',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%hierarchy_build(A,desc_A,info)
|
||||
call P%smoothers_build(A,desc_A,info)
|
||||
\end{minted}
|
||||
@@ -358,11 +367,12 @@ call P%smoothers_build(A,desc_A,info)
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
call P%init('ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_TYPE','FBGS',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%hierarchy_build(A,desc_A,info)
|
||||
call P%smoothers_build(A,desc_A,info)
|
||||
... ...
|
||||
@@ -371,23 +381,18 @@ call P%smoothers_build(A,desc_A,info)
|
||||
\end{minipage}
|
||||
\end{center}
|
||||
\fi\vspace{-2em}%
|
||||
\caption{setup of a multilevel preconditioner based on the coupled coarsening based on weighted matching\label{fig:ex3}}
|
||||
\caption{setup of a multilevel preconditioner based on the coupled coarsening using weighted matching\label{fig:ex3}}
|
||||
\end{listing}\vspace*{-2em}
|
||||
\begin{listing}[h!]
|
||||
\ifpdf
|
||||
\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran}
|
||||
! build a W-cycle preconditioner with 2 hybrid Gauss-Seidel sweeps
|
||||
! as pre- and post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
call P%init('ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_TYPE','FBGS',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
call P%hierarchy_build(A,desc_A,info)
|
||||
call P%smoothers_build(A,desc_A,info)
|
||||
! build a one-level RAS with overlap 2 and ILU(0) on the local blocks.
|
||||
call P%init('AS',info)
|
||||
call P%set('SUB_OVR',2,info)
|
||||
call P%build(A,desc_A,info)
|
||||
... ...
|
||||
! solve Ax=b with preconditioned BiCGSTAB
|
||||
call psb_krylov('BICGSTAB',A,P,b,x,tol,desc_A,info)
|
||||
\end{minted}
|
||||
\else
|
||||
\begin{center}
|
||||
|
||||
+11
-10
@@ -20,11 +20,12 @@ The preconditioners implemented in AMG4PSBLAS are obtained by combining
|
||||
3 different types of AMG cycles with smoothers and coarsest-level
|
||||
solvers. Available multigrid cycles include the V-, W-, and a version of a Krylov-type cycle
|
||||
(K-cycle)~\cite{Briggs2000,Notay2008}; they can be
|
||||
combined with Jacobi hybrid
|
||||
combined with Jacobi, hybrid
|
||||
%\footnote{see Note 2 in Table~\ref{tab:p_coarse}, p.~28.}
|
||||
forward/backward Gauss-Seidel, block-Jacobi, and additive Schwarz
|
||||
smoothers. The Jacobi, block-Jacobi and
|
||||
Gauss-Seidel smoothers are also available in the $\ell_1$ version.
|
||||
forward/backward Gauss-Seidel, block-Jacobi and additive Schwarz
|
||||
smoothers with various versions of local incomplete factorizations and approximate inverses
|
||||
on the blocks. The Jacobi, block-Jacobi and
|
||||
Gauss-Seidel smoothers are also available in the $\ell_1$ version~\cite{DDF2020}.
|
||||
|
||||
An algebraic approach is used to generate a hierarchy of
|
||||
coarse-level matrices and operators, without explicitly using any information on the
|
||||
@@ -34,16 +35,16 @@ two different coarsening strategies, based on aggregation, are available:
|
||||
\item a decoupled version of the smoothed aggregation procedure
|
||||
proposed in~\cite{BREZINA_VANEK,VANEK_MANDEL_BREZINA}, and already
|
||||
included in the previous versions of the
|
||||
package~\cite{BDDF2007,MLD2P4_TOMS};
|
||||
package~\cite{aaecc_07,MLD2P4_TOMS};
|
||||
\item a coupled, parallel implementation of the Coarsening based on
|
||||
Compatible Weighted Matching introduced in~\cite{DV2013,DFV2018}
|
||||
and described in detail in~\cite{DDF2020};
|
||||
\end{itemize}
|
||||
Either exact or approximate solvers can be used on the coarsest-level
|
||||
system. We provide interfaces to various sparse LU factorizations from external
|
||||
packages, native incomplete LU and approximate inverse factorizations,
|
||||
weighted Jacobi, hybrid Gauss-Seidel, block-Jacobi solvers and
|
||||
a recursive call to preconditioned Krylov methods; all
|
||||
system. We provide interfaces to various parallel and sequential sparse LU factorizations from external
|
||||
packages, sequential native incomplete LU and approximate inverse factorizations,
|
||||
parallel weighted Jacobi, hybrid Gauss-Seidel, block-Jacobi solvers and
|
||||
calls to preconditioned Krylov methods; all
|
||||
smoothers can be also exploited as one-level preconditioners.
|
||||
|
||||
AMG4PSBLAS is written in Fortran~2003, following an
|
||||
@@ -76,7 +77,7 @@ therefore, AMG4PSBLAS can be run on any parallel machine where PSBLAS
|
||||
implementations are available. In the most recent version of PSBLAS
|
||||
(release 3.7), a plug-in for GPU is included; it includes CUDA
|
||||
versions of main vector operations and of sparse matrix-vector
|
||||
multiplication, so that Krylov methods coupled with AMG4PBLAS
|
||||
multiplication, so that Krylov methods coupled with AMG4PSBLAS
|
||||
preconditioners relying on Jacobi and block-Jacobi smoothers with
|
||||
sparse approximate inverses on the blocks can be efficiently executed
|
||||
on cluster of GPUs.
|
||||
|
||||
Symlink
+1
@@ -0,0 +1 @@
|
||||
tmp/userguide.pdf
|
||||
@@ -297,10 +297,10 @@ of $A+A^T$.\\ \hline
|
||||
\textsc{comments} \\ \hline
|
||||
\fi
|
||||
\fortinline|'AGGR_TYPE'| & \fortinline|character(len=*)| \hspace*{-3mm}
|
||||
& \fortinline|'SOC1'| &
|
||||
\fortinline|'SOC1'|,
|
||||
&\fortinline|'SOC1'|,
|
||||
\fortinline|'SOC2'|,
|
||||
\fortinline|'MATCHBOXP'|
|
||||
& \fortinline|'SOC1'|
|
||||
& Type of aggregation algorithm: currently,
|
||||
for the decoupled aggregation we implement two measures of strength of
|
||||
connection, the one by Van\v{e}k, Mandel
|
||||
@@ -403,7 +403,7 @@ the parameter \texttt{ilev}.} \\
|
||||
(plus triangular solve);
|
||||
point-Jacobi, hybrid Gauss-Seidel or
|
||||
block-Jacobi and related $\ell_1$-versions;
|
||||
Krylov Method (Flexible Conjugate Gradient) coupled with
|
||||
Krylov Method (flexible Conjugate Gradient) coupled with
|
||||
the block-Jacobi preconditioner
|
||||
with ILU(0) on the blocks.
|
||||
Note that \texttt{UMF} and \texttt{SLU} require the coarsest
|
||||
@@ -431,7 +431,7 @@ the parameter \texttt{ilev}.} \\
|
||||
\fortinline|'MUMPS'| \par \fortinline|'SLU'| \par \fortinline|'UMF'| \par
|
||||
\fortinline|'INVT'| \par \fortinline|'INVK'| \par \fortinline|'AINV'|
|
||||
& See~Note.
|
||||
& Solver for the diagonal blocks of the coarse matrix,
|
||||
& Solver for the diagonal blocks of the coarsest matrix,
|
||||
in case the block Jacobi solver
|
||||
is chosen as coarsest-level solver: ILU($p$), ILU($p,t$),
|
||||
MILU($p$), LU from MUMPS, SuperLU or UMFPACK
|
||||
@@ -486,7 +486,7 @@ the parameter \texttt{ilev}.} \\
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
\caption{Parameters defining the coarse-space correction at the coarsest
|
||||
\caption{Parameters defining the solver at the coarsest
|
||||
level (continued).\label{tab:p_coarse_1}}
|
||||
\esideways
|
||||
|
||||
@@ -505,7 +505,7 @@ level (continued).\label{tab:p_coarse_1}}
|
||||
\hline
|
||||
\end{tabular}
|
||||
\end{center}
|
||||
\caption{Additional parameters defining the coarse-space correction at the coarsest
|
||||
\caption{Additional parameters defining the solver at the coarsest
|
||||
level.\label{tab:p_coarse_2}}
|
||||
\esideways
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,8 +38,8 @@
|
||||
! File: amg_cexample_1lev.f90
|
||||
!
|
||||
! This sample program solves a linear system by using BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 5.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide.
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
@@ -108,7 +108,7 @@ program amg_cexample_1lev
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,25 +38,27 @@
|
||||
! File: amg_cexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system by using CG coupled with
|
||||
! one of the following multi-level preconditioner, as explained in Section 6.1
|
||||
! of the MLD2P4 User's and Reference Guide:
|
||||
! one of the following multi-level preconditioner, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide:
|
||||
!
|
||||
! - choice = 1, the default multi-level preconditioner solver, i.e.,
|
||||
! V-cycle with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
! V-cycle with decoupled smoothed aggregation, 1 hybrid forward/backward
|
||||
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
|
||||
! solver (Sec. 5.1, Fig. 2)
|
||||
! solver (Sec. 4.1, Listing 1)
|
||||
!
|
||||
! - choice = 2, a V-cycle preconditioner with 1 block-Jacobi sweep
|
||||
! (with ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 5.1, Fig. 3)
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 4.1, Listing 2)
|
||||
!
|
||||
! - choice = 3, a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver (Sec. 5.1, Fig. 4)
|
||||
! - choice = 3, W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver (Sec. 4.1, Listing 3)
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
!
|
||||
!
|
||||
program amg_cexample_ml
|
||||
use psb_base_mod
|
||||
use amg_prec_mod
|
||||
@@ -123,7 +125,7 @@ program amg_cexample_ml
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
@@ -230,14 +232,18 @@ program amg_cexample_ml
|
||||
|
||||
case(3)
|
||||
|
||||
! initialize a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
! initialize a W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
|
||||
|
||||
call P%init(ctxt,'ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
kmethod = 'CG'
|
||||
end select
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,8 +38,8 @@
|
||||
! File: amg_dexample_1lev.f90
|
||||
!
|
||||
! This sample program solves a linear system by using BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 5.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide.
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
@@ -108,7 +108,7 @@ program amg_dexample_1lev
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,21 +38,22 @@
|
||||
! File: amg_dexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system by using CG coupled with
|
||||
! one of the following multi-level preconditioner, as explained in Section 6.1
|
||||
! of the MLD2P4 User's and Reference Guide:
|
||||
! one of the following multi-level preconditioner, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide:
|
||||
!
|
||||
! - choice = 1, the default multi-level preconditioner solver, i.e.,
|
||||
! V-cycle with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
! V-cycle with decoupled smoothed aggregation, 1 hybrid forward/backward
|
||||
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
|
||||
! solver (Sec. 5.1, Fig. 2)
|
||||
! solver (Sec. 4.1, Listing 1)
|
||||
!
|
||||
! - choice = 2, a V-cycle preconditioner with 1 block-Jacobi sweep
|
||||
! (with ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 5.1, Fig. 3)
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 4.1, Listing 2)
|
||||
!
|
||||
! - choice = 3, a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver (Sec. 5.1, Fig. 4)
|
||||
! - choice = 3, W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver (Sec. 4.1, Listing 3)
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
@@ -123,7 +124,7 @@ program amg_dexample_ml
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
@@ -209,7 +210,7 @@ program amg_dexample_ml
|
||||
case(1)
|
||||
|
||||
! initialize the default multi-level preconditioner, i.e. V-cycle
|
||||
! with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
! with decoupled smoothed aggregation, 1 hybrid forward/backward
|
||||
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
|
||||
! solver
|
||||
|
||||
@@ -230,14 +231,18 @@ program amg_dexample_ml
|
||||
|
||||
case(3)
|
||||
|
||||
! initialize a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
! initialize a W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
|
||||
|
||||
call P%init(ctxt,'ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
kmethod = 'CG'
|
||||
end select
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,8 +38,8 @@
|
||||
! File: amg_sexample_1lev.f90
|
||||
!
|
||||
! This sample program solves a linear system by using BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 5.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide.
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
@@ -108,7 +108,7 @@ program amg_sexample_1lev
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,8 +38,8 @@
|
||||
! File: amg_sexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system by using CG coupled with
|
||||
! one of the following multi-level preconditioner, as explained in Section 6.1
|
||||
! of the MLD2P4 User's and Reference Guide:
|
||||
! one of the following multi-level preconditioner, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide:
|
||||
!
|
||||
! - choice = 1, the default multi-level preconditioner solver, i.e.,
|
||||
! V-cycle with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
@@ -123,7 +123,7 @@ program amg_sexample_ml
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,8 +38,8 @@
|
||||
! File: amg_zexample_1lev.f90
|
||||
!
|
||||
! This sample program solves a linear system by using BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 5.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide.
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
@@ -108,7 +108,7 @@ program amg_zexample_1lev
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -38,25 +38,27 @@
|
||||
! File: amg_zexample_ml.f90
|
||||
!
|
||||
! This sample program solves a linear system by using CG coupled with
|
||||
! one of the following multi-level preconditioner, as explained in Section 6.1
|
||||
! of the MLD2P4 User's and Reference Guide:
|
||||
! one of the following multi-level preconditioner, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide:
|
||||
!
|
||||
! - choice = 1, the default multi-level preconditioner solver, i.e.,
|
||||
! V-cycle with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
! V-cycle with decoupled smoothed aggregation, 1 hybrid forward/backward
|
||||
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
|
||||
! solver (Sec. 5.1, Fig. 2)
|
||||
! solver (Sec. 4.1, Listing 1)
|
||||
!
|
||||
! - choice = 2, a V-cycle preconditioner with 1 block-Jacobi sweep
|
||||
! (with ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 5.1, Fig. 3)
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 4.1, Listing 2)
|
||||
!
|
||||
! - choice = 3, a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver (Sec. 5.1, Fig. 4)
|
||||
! - choice = 3, W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver (Sec. 4.1, Listing 3)
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
!
|
||||
!
|
||||
program amg_zexample_ml
|
||||
use psb_base_mod
|
||||
use amg_prec_mod
|
||||
@@ -123,7 +125,7 @@ program amg_zexample_ml
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
@@ -230,14 +232,18 @@ program amg_zexample_ml
|
||||
|
||||
case(3)
|
||||
|
||||
! initialize a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
! initialize a W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
|
||||
|
||||
call P%init(ctxt,'ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
kmethod = 'CG'
|
||||
end select
|
||||
|
||||
@@ -1,14 +1,13 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! MLD2P4 version 2.2
|
||||
! MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
!
|
||||
! (C) Copyright 2008-2018
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
! Salvatore Filippone
|
||||
! Pasqua D'Ambra
|
||||
! Daniela di Serafino
|
||||
! Fabio Durastante
|
||||
!
|
||||
! Redistribution and use in source and binary forms, with or without
|
||||
! modification, are permitted provided that the following conditions
|
||||
@@ -18,14 +17,14 @@
|
||||
! 2. Redistributions in binary form must reproduce the above copyright
|
||||
! notice, this list of conditions, and the following disclaimer in the
|
||||
! documentation and/or other materials provided with the distribution.
|
||||
! 3. The name of the MLD2P4 group or the names of its contributors may
|
||||
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
|
||||
! not be used to endorse or promote products derived from this
|
||||
! software without specific written permission.
|
||||
!
|
||||
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
||||
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
||||
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
|
||||
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
@@ -35,6 +34,7 @@
|
||||
! POSSIBILITY OF SUCH DAMAGE.
|
||||
!
|
||||
!
|
||||
!
|
||||
module data_input
|
||||
|
||||
interface read_data
|
||||
|
||||
@@ -1,9 +1,7 @@
|
||||
|
||||
!
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -40,8 +38,8 @@
|
||||
!
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs. The solver is BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 5.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide.
|
||||
!
|
||||
!
|
||||
! The PDE is a general second order equation in 3d
|
||||
@@ -116,7 +114,7 @@ program amg_dexample_1lev
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -1,8 +1,7 @@
|
||||
!
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -39,21 +38,26 @@
|
||||
!
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs. The solver is CG, coupled with one of the
|
||||
! following multi-level preconditioner, as explained in Section 5.1 of
|
||||
! the MLD2P4 User's and Reference Guide:
|
||||
! following multi-level preconditioner, as explained in Section 4.1 of
|
||||
! the AMG4PSBLAS User's and Reference Guide:
|
||||
!
|
||||
! - choice = 1, the default multi-level preconditioner solver, i.e.,
|
||||
! V-cycle with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
! V-cycle with decoupled smoothed aggregation, 1 hybrid forward/backward
|
||||
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
|
||||
! solver (Sec. 5.1, Fig. 2)
|
||||
! solver (Sec. 4.1, Listing 1)
|
||||
!
|
||||
! - choice = 2, a V-cycle preconditioner with 1 block-Jacobi sweep
|
||||
! (with ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 5.1, Fig. 3)
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 4.1, Listing 2)
|
||||
!
|
||||
! - choice = 3, W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver (Sec. 4.1, Listing 3)
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
!
|
||||
! - choice = 3, a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest matrix,
|
||||
! and MUMPS as coarsest-level solver (Sec. 5.1, Fig. 4)
|
||||
!
|
||||
! The PDE is a general second order equation in 3d
|
||||
!
|
||||
@@ -136,7 +140,7 @@ program amg_dexample_ml
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
@@ -187,17 +191,21 @@ program amg_dexample_ml
|
||||
|
||||
case(3)
|
||||
|
||||
! initialize a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
! initialize a W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
|
||||
|
||||
call P%init(ctxt,'ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
kmethod = 'CG'
|
||||
|
||||
end select
|
||||
end select
|
||||
|
||||
call psb_barrier(ctxt)
|
||||
|
||||
@@ -1,8 +1,7 @@
|
||||
!
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
|
||||
@@ -3,7 +3,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -40,8 +40,8 @@
|
||||
!
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs. The solver is BiCGStab preconditioned by
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 5.1
|
||||
! of the MLD2P4 User's and Reference Guide.
|
||||
! RAS with overlap 2 and ILU(0) on the local blocks, as explained in Section 4.1
|
||||
! of the AMG4PSBLAS User's and Reference Guide.
|
||||
!
|
||||
!
|
||||
! The PDE is a general second order equation in 3d
|
||||
@@ -116,7 +116,7 @@ program amg_sexample_1lev
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
@@ -39,21 +39,26 @@
|
||||
!
|
||||
! This sample program solves a linear system obtained by discretizing a
|
||||
! PDE with Dirichlet BCs. The solver is CG, coupled with one of the
|
||||
! following multi-level preconditioner, as explained in Section 5.1 of
|
||||
! the MLD2P4 User's and Reference Guide:
|
||||
! following multi-level preconditioner, as explained in Section 4.1 of
|
||||
! the AMG4PSBLAS User's and Reference Guide:
|
||||
!
|
||||
! - choice = 1, the default multi-level preconditioner solver, i.e.,
|
||||
! V-cycle with basic smoothed aggregation, 1 hybrid forward/backward
|
||||
! V-cycle with decoupled smoothed aggregation, 1 hybrid forward/backward
|
||||
! GS sweep as pre/post-smoother and UMFPACK as coarsest-level
|
||||
! solver (Sec. 5.1, Fig. 2)
|
||||
! solver (Sec. 4.1, Listing 1)
|
||||
!
|
||||
! - choice = 2, a V-cycle preconditioner with 1 block-Jacobi sweep
|
||||
! (with ILU(0) on the blocks) as pre- and post-smoother, and 8 block-Jacobi
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 5.1, Fig. 3)
|
||||
! sweeps (with ILU(0) on the blocks) as coarsest-level solver (Sec. 4.1, Listing 2)
|
||||
!
|
||||
! - choice = 3, W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver (Sec. 4.1, Listing 3)
|
||||
!
|
||||
! The matrix and the rhs are read from files (if an rhs is not available, the
|
||||
! unit rhs is set).
|
||||
!
|
||||
! - choice = 3, a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest matrix,
|
||||
! and MUMPS as coarsest-level solver (Sec. 5.1, Fig. 4)
|
||||
!
|
||||
! The PDE is a general second order equation in 3d
|
||||
!
|
||||
@@ -136,7 +141,7 @@ program amg_sexample_ml
|
||||
! Hello world
|
||||
!
|
||||
if (iam == psb_root_) then
|
||||
write(*,*) 'Welcome to MLD2P4 version: ',amg_version_string_
|
||||
write(*,*) 'Welcome to AMG4PSBLAS version: ',amg_version_string_
|
||||
write(*,*) 'This is the ',trim(name),' sample program'
|
||||
end if
|
||||
|
||||
@@ -187,19 +192,21 @@ program amg_sexample_ml
|
||||
|
||||
case(3)
|
||||
|
||||
! initialize a W-cycle preconditioner with 2 hybrid forward/backward
|
||||
! GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and MUMPS as coarsest-level solver
|
||||
! initialize a W-cycle preconditioner based on the coupled aggregation relying on matching,
|
||||
! with maximum size of aggregates equal to 8 and smoothed prolongators,
|
||||
! 2 hybrid forward/backward GS sweeps as pre/post-smoother, a distributed coarsest
|
||||
! matrix, and preconditioned Flexible Conjugate Gradient as coarsest-level solver
|
||||
|
||||
call P%init(ctxt,'ML',info)
|
||||
call P%set('PAR_AGGR_ALG','COUPLED',info)
|
||||
call P%set('AGGR_TYPE','MATCHBOXP',info)
|
||||
call P%set('AGGR_SIZE',8,info)
|
||||
call P%set('ML_CYCLE','WCYCLE',info)
|
||||
call P%set('SMOOTHER_SWEEPS',2,info)
|
||||
call P%set('COARSE_SOLVE','MUMPS',info)
|
||||
call P%set('COARSE_SOLVE','KRM',info)
|
||||
call P%set('COARSE_MAT','DIST',info)
|
||||
kmethod = 'CG'
|
||||
|
||||
end select
|
||||
|
||||
call psb_barrier(ctxt)
|
||||
t1 = psb_wtime()
|
||||
|
||||
|
||||
@@ -2,7 +2,7 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
|
||||
@@ -1,14 +1,13 @@
|
||||
!
|
||||
! AMG4PSBLAS version 1.0
|
||||
! Algebraic Multigrid Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
|
||||
!
|
||||
! MLD2P4 version 2.2
|
||||
! MultiLevel Domain Decomposition Parallel Preconditioners Package
|
||||
! based on PSBLAS (Parallel Sparse BLAS version 3.5)
|
||||
!
|
||||
! (C) Copyright 2008-2018
|
||||
! (C) Copyright 2020
|
||||
!
|
||||
! Salvatore Filippone
|
||||
! Pasqua D'Ambra
|
||||
! Daniela di Serafino
|
||||
! Fabio Durastante
|
||||
!
|
||||
! Redistribution and use in source and binary forms, with or without
|
||||
! modification, are permitted provided that the following conditions
|
||||
@@ -18,14 +17,14 @@
|
||||
! 2. Redistributions in binary form must reproduce the above copyright
|
||||
! notice, this list of conditions, and the following disclaimer in the
|
||||
! documentation and/or other materials provided with the distribution.
|
||||
! 3. The name of the MLD2P4 group or the names of its contributors may
|
||||
! 3. The name of the AMG4PSBLAS group or the names of its contributors may
|
||||
! not be used to endorse or promote products derived from this
|
||||
! software without specific written permission.
|
||||
!
|
||||
! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
||||
! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
||||
! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
||||
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE MLD2P4 GROUP OR ITS CONTRIBUTORS
|
||||
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE AMG4PSBLAS GROUP OR ITS CONTRIBUTORS
|
||||
! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
@@ -33,8 +32,6 @@
|
||||
! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
||||
! POSSIBILITY OF SUCH DAMAGE.
|
||||
!
|
||||
!
|
||||
module data_input
|
||||
|
||||
interface read_data
|
||||
@@ -183,4 +180,3 @@ contains
|
||||
trim_string = adjustl(string(idx:))
|
||||
end function trim_string
|
||||
end module data_input
|
||||
|
||||
|
||||
Reference in New Issue
Block a user