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- Murata Yuichiro
- Mizuho Information & Research Institute, Inc.
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- Aihara Kensuke
- Graduate School of Science, Tokyo University of Science
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- Abe Kuniyoshi
- Faculty of Economics and Information, Gifu Shotoku University
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- Ishiwata Emiko
- Department of Mathematical Information Science, Tokyo University of Science
Bibliographic Information
- Other Title
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- 残差多項式係数の計算過程に着目した積型BiCR法
- ザンサ タコウシキ ケイスウ ノ ケイサン カテイ ニ チャクモク シタ セキガタ BiCRホウ
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Abstract
The BiCG method has been reformulated in order to show the relation between the IDR(s) method and the BiCGSTAB method. The residuals and the BiCG coefficients of the reformulated BiCG are computed by an alternative formulation which is close to the IDR approach. The variants of hybrid BiCG methods have been developed by using the reformulated BiCG, and are often more effective than their original counterparts. In this paper, we propose variants of hybrid BiCR methods using the alternative formulation of BiCR. Numerical experiments demonstrate that our proposed variants are more effective than the original hybrid BiCR methods.
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 23 (3), 417-437, 2013
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
- 1390001205768932096
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- NII Article ID
- 110009636319
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- NII Book ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL BIB ID
- 024917363
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- CiNii Articles
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- Abstract License Flag
- Disallowed