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＜departmental bulletin paper＞
Convergence of Restarted GCR(m) Method Using ISOR(s) Preconditioning

Creator
Author PID
L003818
Creator Name
関本, 幹
Sekimoto, Takashi
セキモト, タカシ
Affiliation
Affiliation Name
九州大学工学部電気情報工学科
Department of Computer Science and Communication Engineering, Kyushu University
Author PID
L001913
Creator Name
日下部, 雄三
Kusakabe, Yuzo
クサカベ, ユウゾウ
Affiliation
Affiliation Name
九州大学大学院 システム情報科学府情報工学専攻
Department of Computer Science and Communication Engineering, Kyushu University
Author PID
L001452
Creator Name
尾上, 勇介
Onoue, Yusuke
オノウエ, ユウスケ
Affiliation
Affiliation Name
九州大学大学院 システム情報科学府情報工学専攻
Department of Computer Science and Communication Engineering, Kyushu University
Author PID
K000022
Creator Name
藤野, 清次
Fujino, Seiji
フジノ, セイジ
Affiliation
Affiliation Name
情報基盤研究開発センター
Research Institute for Information Technology, Kyushu University
Language
Japanese
Publisher
九州大学大学院システム情報科学研究院
Faculty of Information Science and Electrical Engineering, Kyushu University
Date
2010-03-26
Source Title
Research reports on information science and electrical engineering of Kyushu University
Vol
15
Issue
1
First Page
31
Last Page
36
Publication Type
Version of Record
Access Rights
open access
JaLC DOI
https://doi.org/10.15017/17891
Related DOI
Research reports on information science and electrical engineering of Kyushu University ||15(1) || p31-36
九州大学大学院システム情報科学紀要 || 15(1) || p31-36
https://portal.isee.kyushu-u.ac.jp/
Related URI
Research reports on information science and electrical engineering of Kyushu University ||15(1) || p31-36
九州大学大学院システム情報科学紀要 || 15(1) || p31-36
https://portal.isee.kyushu-u.ac.jp/
Relation
Research reports on information science and electrical engineering of Kyushu University ||15(1) || p31-36
九州大学大学院システム情報科学紀要 || 15(1) || p31-36
https://portal.isee.kyushu-u.ac.jp/
Abstract The conventional SOR (Successive Over-Relaxation) method started from the dissertation by D. Young in 1950. Though the SOR method has been often utilized for the solution of problems which occur from ...a rich variety of applications, the SOR method has a certain issue that the SOR method greatly depends on spectrum of iteration matrix. As a consequence, convergence of the SOR method is not robust. In this article, we extend IDR (Induced Dimension Reduction) Theorem to designing of the residual of the SOR method, and accelerate its robustness of convergence. Numerical experiments indicate significantly improved residual compared with that of the conventional SOR method.show more

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Details

PISSN
1342-3819
EISSN
2188-0891
NCID
AN10569524
Record ID
17891
Peer-Reviewed
Refereed
Subject Terms
IDR Theorem
GCR(m) method
SOR method
ISOR(s) method
Type
紀要論文
Created Date 2011.10.07
Modified Date 2020.11.17

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