On an Implementation of the One-Sided Jacobi Method With High Accuracy

• Item type: Trans(1)
• 公開日: 2021-08-10
• タイトル: On an Implementation of the One-Sided Jacobi Method With High Accuracy
• タイトル / 言語: en
• タイトル: On an Implementation of the One-Sided Jacobi Method With High Accuracy
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: [オリジナル論文] Singular value decomposition, Jacobi method, false-position method, secant method
• 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
• 著者所属: Nara Women's University
• 著者所属: Kyoto University
• 著者所属: University of Fukui
• 著者所属: University of Fukui
• 著者所属: Kyoto University／Presently with Osaka Seikei University
• 著者所属(英): en
• 著者所属(英): Nara Women's University
• 著者所属(英): en
• 著者所属(英): Kyoto University
• 著者所属(英): en
• 著者所属(英): University of Fukui
• 著者所属(英): en
• 著者所属(英): University of Fukui
• 著者所属(英): en
• 著者所属(英): Kyoto University / Presently with Osaka Seikei University
• 著者名: Masami, Takata; Sho, Araki; Takahiro, Miyamae; Kinji, Kimura; Yoshimasa, Nakamura
• 著者名(英): Masami, Takata; Sho, Araki; Takahiro, Miyamae; Kinji, Kimura; Yoshimasa, Nakamura
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: The one-sided Jacobi method for performing singular value decomposition can compute all singular values and singular vectors with high accuracy. Additionally, the computation cost is insignificant for comparatively small matrices. However, in the case of the conventional implementation in Linear Algebra PACKage, the subroutine may not be able to compute a singular vector with sufficient orthogonality. To avoid this problem, we propose a novel implementation of the one-sided Jacobi method. In the proposed implementation, a Givens rotation with high accuracy and fused multiply-accumulate are adopted.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: The one-sided Jacobi method for performing singular value decomposition can compute all singular values and singular vectors with high accuracy. Additionally, the computation cost is insignificant for comparatively small matrices. However, in the case of the conventional implementation in Linear Algebra PACKage, the subroutine may not be able to compute a singular vector with sufficient orthogonality. To avoid this problem, we propose a novel implementation of the one-sided Jacobi method. In the proposed implementation, a Givens rotation with high accuracy and fused multiply-accumulate are adopted.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA11464803
• 書誌情報: 情報処理学会論文誌数理モデル化と応用（TOM）; 巻 14, 号 3, p. 68-75, 発行日 2021-08-10
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-7780
• 出版者 / 言語: ja
• 出版者: 情報処理学会