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NII Technical Report (NII-2018-001E):Convergence of the Conjugate Gradient Method on Singular Systems
https://doi.org/10.20736/0002000367
https://doi.org/10.20736/000200036748fcfa1e-7c9c-4f97-895b-d43b239dbbae
名前 / ファイル | ライセンス | アクション |
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NII Technical Report (NII-2018-001E):Convergence of the Conjugate Gradient Method on Singular Systems (120 KB)
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Item type | レポート / Report(1) | |||||||||
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公開日 | 2022-06-09 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | NII Technical Report (NII-2018-001E):Convergence of the Conjugate Gradient Method on Singular Systems | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
キーワード | ||||||||||
言語 | ja | |||||||||
主題Scheme | Other | |||||||||
主題 | テクニカルレポート | |||||||||
キーワード | ||||||||||
言語 | en | |||||||||
主題Scheme | Other | |||||||||
主題 | Technical Report | |||||||||
資源タイプ | ||||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||
タイプ | departmental bulletin paper | |||||||||
ID登録 | ||||||||||
ID登録 | 10.20736/0002000367 | |||||||||
ID登録タイプ | JaLC | |||||||||
著者 |
速水, 謙
× 速水, 謙
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抄録 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | In this short paper, we analyze the convergence of the Conjugate Gradient (CG) method in exact arithmetic, when the coefficient matrix A is symmetric positive semidefinite and the system is consistent. To do so, we diagonalize A and decompose the algorithm into the range and the null space components of A. Further, we apply the analysis to the CGLS and CGNE (CG Normal Error) methods for rank-deficient least squares problems. | |||||||||
言語 | en | |||||||||
書誌情報 |
ja : NIIテクニカル・レポート en : NII Technical Report p. 1-7, 発行日 2018-07-29 |
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出版者 | ||||||||||
言語 | ja | |||||||||
出版者 | 国立情報学研究所 | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | ISSN | |||||||||
収録物識別子 | 1346-5597 |