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Further Development of Chebyshev Acceleration in Connection with SAOR Method
https://ous.repo.nii.ac.jp/records/688
https://ous.repo.nii.ac.jp/records/68832998edd-6ff3-4b06-901f-464208dfa3d1
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文(ELS) / Departmental Bulletin Paper(1) | |||||||||||||||||||||||
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公開日 | 1985-03-05 | |||||||||||||||||||||||
タイトル | ||||||||||||||||||||||||
言語 | ja | |||||||||||||||||||||||
タイトル | Further Development of Chebyshev Acceleration in Connection with SAOR Method | |||||||||||||||||||||||
タイトル | ||||||||||||||||||||||||
言語 | en | |||||||||||||||||||||||
タイトル | Further Development of Chebyshev Acceleration in Connection with SAOR Method | |||||||||||||||||||||||
言語 | ||||||||||||||||||||||||
言語 | eng | |||||||||||||||||||||||
資源タイプ | ||||||||||||||||||||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||||||||
資源タイプ | departmental bulletin paper | |||||||||||||||||||||||
ページ属性 | ||||||||||||||||||||||||
内容記述タイプ | Other | |||||||||||||||||||||||
内容記述 | P(論文) | |||||||||||||||||||||||
著者名 |
仁木, 滉
× 仁木, 滉
× 大崎, 一安
× 池内, 雅紀
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著者所属(日) | ||||||||||||||||||||||||
ja | ||||||||||||||||||||||||
岡山理科大学応用数学科 | ||||||||||||||||||||||||
著者所属(日) | ||||||||||||||||||||||||
ja | ||||||||||||||||||||||||
岡山理科大学大学院応用数学専攻 | ||||||||||||||||||||||||
著者所属(日) | ||||||||||||||||||||||||
ja | ||||||||||||||||||||||||
岡山理科大学大学院応用数学専攻 | ||||||||||||||||||||||||
著者所属(英) | ||||||||||||||||||||||||
en | ||||||||||||||||||||||||
Department of Applied Mathematics, Okayama University of Science | ||||||||||||||||||||||||
著者所属(英) | ||||||||||||||||||||||||
en | ||||||||||||||||||||||||
Graduate School of Applied Mathematics, Okayama University of Science | ||||||||||||||||||||||||
著者所属(英) | ||||||||||||||||||||||||
en | ||||||||||||||||||||||||
Graduate School of Applied Mathematics, Okayama University of Science | ||||||||||||||||||||||||
抄録(英) | ||||||||||||||||||||||||
内容記述タイプ | Other | |||||||||||||||||||||||
内容記述 | The paper is concerned with an improvement over the symmetric accelerated overrelaxation (SAOR) method for an iterative solution of large linear systems. At first, the Chebyshev acceleration (or semi-iteration) procedure is introduced to the SAOR method, and the Non-Adaptive SAOR-SI algorithm is developed. Next, an adaptive procedure which estimates automatically the maximum eigenvalue of the SAOR iteration matrix is constructed. Moreover the Partial-Adaptive SAOR-SI algorithm including the adaptive procedure is proposed, and its characteristics are cleared with numerical results. A comparison with the optimum SOR algorithm is also given. It is finally proved that the proposed algorithms, Non-Adaptive SAOR-SI and Partial-Adaptive SAOR-SI algorithms, are efficient for the iterative solution. | |||||||||||||||||||||||
言語 | en | |||||||||||||||||||||||
雑誌書誌ID | ||||||||||||||||||||||||
収録物識別子タイプ | NCID | |||||||||||||||||||||||
収録物識別子 | AN00033244 | |||||||||||||||||||||||
書誌情報 |
ja : 岡山理科大学紀要. A, 自然科学 en : The Bulletin of the Okayama University of Science, A, Natural Science 巻 20, p. 1-17, 発行日 1985-03-05 |