Polynomial Preconditioner for Linear Systems with Multiple Right-Hand Sides and Multiple Shifts
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- Sekikawa Yuta
- Information Engineering, University of Tsukuba
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- Futamura Yasunori
- Information Engineering, University of Tsukuba
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- Imakura Akira
- Information Engineering, University of Tsukuba
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- Sakurai Tetsuya
- Information Engineering, University of Tsukuba
Bibliographic Information
- Other Title
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- 複数右辺ベクトルを持つシフト線形方程式に対する多項式前処理の有効性の検証
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Abstract
<p>Abstract. We consider polynomial preconditioners for block Krylov subspace methods with shift-invariance property for a solver to a shifted linear systems with multiple righthand sides and multiple shifts. In general, polynomial preconditioner for shifted Krylov subspace methods is not necessarily effective from the viewpoint of calculation time. In this paper, we show that applying polynomial preconditioner to block Krylov subspace methods with shift-invariance property is effective from the viewpoint of calculation time for solving shifted linear systems with multiple right-hand sides and multiple shifts.</p>
Journal
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- Transactions of the Japan Society for Industrial and Applied Mathematics
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Transactions of the Japan Society for Industrial and Applied Mathematics 29 (1), 141-164, 2019
The Japan Society for Industrial and Applied Mathematics
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Keywords
Details 詳細情報について
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- CRID
- 1390564238094366720
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- NII Article ID
- 130007618976
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- HANDLE
- 2241/00157936
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- Text Lang
- ja
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- Data Source
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- JaLC
- IRDB
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed