書誌事項
- タイトル別名
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- Vector Parallel Preconditioning Methods for the Conjugate Gradient Algorithm and Its Variants
- キョウヤク コウバイホウケイ アルゴリズム ニ オケル ベクトル ヘイレツ シ
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説明
Conjugate Gradient Algorithm and its variants have been widely used as an excellent solution method for linear equations on vector and/or parallel supercomputers. But the effectiveness depends on the ability to parallelize the preconditioning procedure. Here, we first deal with Neumann expansion preconditioning method and extend it to polynomial preconditioning method. Both are very simple and available for a wide class of matrices. The numerical studies are made on vector/parallel supercomputer S-3800 and parallel processors KSR-1 and AP1000 to validate the vactor/parallel effect. The methods are applied to a matrix discretized by Fourier series expansion of a plasma fluid flow equation, as well as usual finite difference and finite element methods.
収録刊行物
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- 日本応用数理学会論文誌
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日本応用数理学会論文誌 7 (2), 205-215, 1997
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390282680744722176
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- NII論文ID
- 110001883653
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- NII書誌ID
- AN10367166
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- ISSN
- 09172246
- 24240982
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- NDL書誌ID
- 4236490
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDLサーチ
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
