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実対称三重対角固有値問題に対する多分割の分割統治法の改良(理論, 行列・固有値問題の解法とその応用, <特集>平成18年研究部会連合発表会)
https://sucra.repo.nii.ac.jp/records/13748
https://sucra.repo.nii.ac.jp/records/13748cded67a7-ecf8-4142-abea-225e382f374a
名前 / ファイル | ライセンス | アクション |
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A1003896.pdf (1.7 MB)
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Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2009-10-22 | |||||
タイトル | ||||||
タイトル | 実対称三重対角固有値問題に対する多分割の分割統治法の改良(理論, 行列・固有値問題の解法とその応用, <特集>平成18年研究部会連合発表会) | |||||
言語 | ||||||
言語 | jpn | |||||
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 | journal article | |||||
タイトル(別言語) | ||||||
その他のタイトル | An Improvement of Multiple Division Divide-and-Conquer for Real Symmetric Tridiagonal Eigenproblem(Theory,Algorithms for Matrix/Eigenvalue Problems and their Application,<Special Issue> "Joint Symposium of JSIAM Activity Groups 2006") | |||||
著者 |
桑島, 豊
× 桑島, 豊× 重原, 孝臣 |
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著者 ローマ字 | ||||||
Kuwajima, Yutaka | ||||||
著者 ローマ字 | ||||||
Shigehara, Takaomi | ||||||
著者 所属 | ||||||
埼玉大学理工学研究科 | ||||||
著者 所属 | ||||||
埼玉大学理工学研究科 | ||||||
著者 所属(別言語) | ||||||
Graduate School of Science and Engineering, Saitama University | ||||||
著者 所属(別言語) | ||||||
Graduate School of Science and Engineering, Saitama University | ||||||
書誌情報 |
日本応用数理学会論文誌 en : Transactions of the Japan Society for Industrial and Applied Mathematics 巻 16, 号 4, p. 453-480, 発行日 2006 |
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年月次 | ||||||
2006-12 | ||||||
出版者名 | ||||||
出版者 | 日本応用数理学会 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 09172246 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We improve divide-and-conquer with multiple divisions for real symmetric tridiagonal eigenproblem proposed in [13]. The main improvements are the following two. The first is that we succeed in developing an algorithm for keeping the orthogonality among eigenvectors in double-precision floating-point number processing without a substantial increase of numerical cost. As a result, all the calculations are done without quadruple-precision floating-point number processing, which is required in [13]. The second is that we implement a deflation effect which substantially decreases numerical cost. As a result of these two improvements, we succeed in developing a program for real symmetric tridiagonal eigenproblem which is even faster than a LAPACK routine DSTEVD, while keeping a numerical accuracy comparable to DSTEVD. | |||||
注記 | ||||||
内容記述タイプ | Other | |||||
内容記述 | rights: 日本応用数理学会 rights: 本文データは学協会の許諾に基づきCiNiiから複製したものである relation: IsVersionOf: http://ci.nii.ac.jp/naid/110006197072/ |
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その他の言語 | ||||||
言語 | eng | |||||
版 | ||||||
[出版社版] | ||||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | text | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
作成日 | ||||||
日付 | 2009-10-08 | |||||
日付タイプ | Created | |||||
アイテムID | ||||||
A1003896 |