A determination of coefficients of GPBiCG-AR method by reconsideration on inner product (ハイパフォーマンスコンピューティング)

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概要

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• Product-type iterative methods, e.g., GPBi-CG, GPBiCG_AR methods utilize three-term recurrences in the algorithm. Moreover, coefficients ζ_n η_n included in the accelerated polynomials H_n(λ), G_n(λ) are computed for every iteration step by means of local minimization of 2-norm of residual γ_<n+1> and associate residual a_γ_<n+1>. In this article, we evaluate heuristic variants of GPBiCG_AR method without and with preconditioning by means of improvement of determination of coefficients ζ_n, η_n.

• 一般社団法人情報処理学会の論文
• 2008-12-09

著者

• Onoue Yusuke

  Graduate School Of Information Science And Electrical Engineering Kyushu University

• Fujino Seiji

  Research Laboratories, Nippondenso Co., Ltd.

• Fujino Seiji

  Research Institute For Information Technology Kyushu University

• Fujino Seiji

  Research Institute For Information Technology

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