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  1. NIIテクニカル・レポート

NII Technical Report (NII-2020-003E):Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems.

https://doi.org/10.20736/0002000371
https://doi.org/10.20736/0002000371
0386e208-322f-4dbf-9794-b7e16b051d6b
名前 / ファイル ライセンス アクション
20-003E.pdf NII Technical Report (NII-2020-003E):Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear systems. (7.9 MB)
Item type レポート / Report(1)
公開日 2022-06-09
タイトル
言語 en
タイトル NII Technical Report (NII-2020-003E):Kaczmarz-type inner-iteration preconditioned flexible GMRES methods for consistent linear 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 10.20736/0002000371
ID登録タイプ JaLC
著者 Du, Yi-shu

× Du, Yi-shu

en Du, Yi-shu

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速水, 謙

× 速水, 謙

ja 速水, 謙

en Hayami, Ken

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Zheng, Ning

× Zheng, Ning

en Zheng, Ning

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保國, 惠一

× 保國, 惠一

ja 保國, 惠一

en Morikuni, Keiichi

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Yin, Jun-Feng

× Yin, Jun-Feng

en Yin, Jun-Feng

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抄録
内容記述タイプ Abstract
内容記述 We propose using greedy and randomized Kaczmarz inner-iterations as preconditioners for the right-preconditioned flexible GMRES method to solve consistent linear systems, with a parameter tuning strategy for adjusting the number of inner iterations and the relaxation parameter. We also present theoretical justifications of the right-preconditioned flexible GMRES for solving consistent linear systems. Numerical experiments on overdetermined and underdetermined linear systems show that the proposed method is superior to the GMRES method preconditioned by NE-SOR inner iterations in terms of total CPU time.
言語 en
書誌情報 ja : NIIテクニカル・レポート
en : NII Technical Report

p. 1-14, 発行日 2020-06-29
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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