書誌事項
- タイトル別名
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- Subspace iteration by the residual vectors for the eigenvalue problem Aχ=λχ
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説明
This paper proposes an iterative method of finding only a few lower eigenvalues and the corresponding eigenvectors for the eigenproblem Ax=λx. The convergence of the proposed method, using the orthogonality between approximate eigenvectors and their residual vectors, is based on the Rayleigh-Ritz method and the inverse power method. The method computes the best approximation of eigenvectors in the subpace, spanned by approximate eigenvectors and linear transformations of their residual vectors, and improves approximate eigenvectors by increasing the number of basic vectors in the subspace iteratively.
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 4 (4), 299-325, 1994
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
- 1390282680744848128
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- NII論文ID
- 110001883590
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- NII書誌ID
- AN10367166
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- ISSN
- 24240982
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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
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可