Performance of the parallel block Jacobi method with dynamic ordering for the symmetric eigenvalue problem
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- Kudo Shuhei
- The University of Electro-Communications
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- Yasuda Kousuke
- The University of Electro-Communications
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- Yamamoto Yusaku
- The University of Electro-Communications
Abstract
<p> We investigate the performance of the parallel block Jacobi method for the symmetric eigenvalue problem with dynamic ordering both theoretically and experimentally. First, we present an improved global convergence theorem of the method that takes into account the effect of annihilating multiple blocks at once. Next, we compare the dynamic ordering with two representative parallel cyclic orderings experimentally and show that the former can speedup the convergence for ill-conditioned matrices considerably with little extra cost. </p>
Journal
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- JSIAM Letters
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JSIAM Letters 10 (0), 41-44, 2018
The Japan Society for Industrial and Applied Mathematics
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Details 詳細情報について
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- CRID
- 1390845712986395520
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- NII Article ID
- 130007432998
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- ISSN
- 18830617
- 18830609
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed