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  1. NIIテクニカル・レポート

NII Technical Report (NII-2012-005E):Convergence of inner-iteration GMRES methods for least squares problems

https://doi.org/10.20736/0000001270
https://doi.org/10.20736/0000001270
99128d1b-6e8c-4619-9da8-27101401a32d
名前 / ファイル ライセンス アクション
12-005E.pdf NII Technical Report (NII-2012-005E):Convergence of inner-iteration GMRES methods for least squares problems (235.1 kB)
Item type レポート / Report(1)
公開日 2019-03-13
タイトル
言語 en
タイトル NII Technical Report (NII-2012-005E):Convergence of inner-iteration GMRES methods for 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 10.20736/0000001270
ID登録タイプ JaLC
著者 保國, 惠一

× 保國, 惠一

ja 保國, 惠一

en Morikuni, Keiichi

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速水, 謙

× 速水, 謙

ja 速水, 謙

en Hayami, Ken

Search repository
抄録
内容記述タイプ Abstract
内容記述 We develop a general theory for the convergence of the generalized minimal residual method for least squares problems preconditioned with inner iterations. The inner iterations take the form of a stationary iterative method. Also, we present theoretical justifications for using specific inner iterations such as the Jacobi and SOR-type methods. In this paper, the theory is improved particularly in the rank-deficient case. We analyse the spectrum of the preconditioned coefficient matrix, and characterize it with the spectral radius of the iteration matrix for the inner iterations. The analysis is supported by numerical experiments.
言語 en
書誌情報 ja : NIIテクニカル・レポート
en : NII Technical Report

p. 1-9, 発行日 2012-08-03
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
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