A determination of coefficients of GPBiCG-AR method by reconsideration on inner product

• Item type: SIG Technical Reports(1)
• 公開日: 2008-12-09
• タイトル: A determination of coefficients of GPBiCG-AR method by reconsideration on inner product
• タイトル / 言語: en
• タイトル: A determination of coefficients of GPBiCG-AR method by reconsideration on inner product
• 言語: eng
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_18gh
• 資源タイプ: technical report
• 著者所属: Graduate School of Information Science and Electrical Engineering, Kyushu University
• 著者所属: Research Institute for Information Technology, Kyushu University
• 著者所属: Graduate School of Information Science and Electrical Engineering, Kyushu University
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Electrical Engineering, Kyushu University
• 著者所属(英): en
• 著者所属(英): Research Institute for Information Technology, Kyushu University
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science and Electrical Engineering, Kyushu University
• 著者名: Moethuthu; Seiji, Fujino; Yusuke, Onoue
• 著者名(英): Moethuthu; Seiji, Fujino; Yusuke, Onoue
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: Product-type iterative methods, e.g., GPBi_CG, GPBiCG_AR methods utilize three-term recurrences in the algorithm. Moreover, coefficients ζn, ηn included in the accelerated polynomials Hn(λ), Gn(λ) are computed for every iteration step by means of local minimization of 2-norm of residual rn+1 and associate residual a_rn + 1. In this article, we evaluate heuristic variants of GPBiCG_AR method without and with preconditioning by means of improvement of determination of coefficients ζn, ηn.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: Product-type iterative methods, e.g., GPBi_CG, GPBiCG_AR methods utilize three-term recurrences in the algorithm. Moreover, coefficients ζn, ηn included in the accelerated polynomials Hn(λ), Gn(λ) are computed for every iteration step by means of local minimization of 2-norm of residual rn+1 and associate residual a_rn + 1. In this article, we evaluate heuristic variants of GPBiCG_AR method without and with preconditioning by means of improvement of determination of coefficients ζn, ηn.
• 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: AN10463942
• 書誌情報: 情報処理学会研究報告ハイパフォーマンスコンピューティング（HPC）; 巻 2008, 号 125(2008-HPC-118), p. 37-42, 発行日 2008-12-09
• Notice: SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc.
• 出版者 / 言語: ja
• 出版者: 情報処理学会