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NII Technical Report (NII-2008-008E):Greville's Method for Preconditioning Least Squares Problems
https://doi.org/10.20736/0000001246
https://doi.org/10.20736/00000012461f1b3efe-502f-4a97-967a-7b6a86d0cbbf
名前 / ファイル | ライセンス | アクション |
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NII Technical Report (NII-2008-008E):Greville's Method for Preconditioning Least Squares Problems (683.3 kB)
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Item type | レポート / Report(1) | |||||||||||
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公開日 | 2019-03-12 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | NII Technical Report (NII-2008-008E):Greville's Method for Preconditioning Least Squares Problems | |||||||||||
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 | 10.20736/0000001246 | |||||||||||
ID登録タイプ | JaLC | |||||||||||
著者 |
Cui, Xiaoke
× Cui, Xiaoke
× 速水, 謙
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抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | In this paper, we construct a preconditioner for least squares problems min||b-Ax||, where A can be matrices with any shape and any rank. The preconditioner itself is a sparse approximation to the Moore-Penrose inverse of the coefficient matrix A. For this preconditioner, we give theoretical analysis to show that under certain assumption, the problem preconditioned by this preconditioner is equivalent to the original problem, and the GMRES method can determine a solution to the preconditioned problem before breakdown happens. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
ja : NIIテクニカル・レポート en : NII Technical Report p. 1-26, 発行日 2008-08-21 |
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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 |