A modified Block IDR($s$) method for computing high accuracy solutions

• Naito Michihiro

  Department of Computer Science, University of Tsukuba

• Tadano Hiroto

  Department of Computer Science, University of Tsukuba

• Sakurai Tetsuya

  Department of Computer Science, University of Tsukuba JST CREST

抄録

In this paper, the difference between the residual and the true residual caused by the computation errors that arise in matrix multiplications for solutions generated by the Block IDR($s$) method is analyzed. Moreover, in order to reduce the difference between the residual and the true residual, a modified Block IDR($s$) method is proposed. Numerical experiments demonstrate that the difference under the proposed method is smaller than that of the conventional Block IDR($s$) method.

収録刊行物

• JSIAM Letters

  JSIAM Letters 4 (0), 25-28, 2012

  一般社団法人 日本応用数理学会

キーワード

• Block Krylov subspace methods
• Block IDR($s$) method
• linear systems with multiple right-hand sides
• high accuracy solutions

詳細情報

• CRID: 1390001205300279936
• NII論文ID: 130002129392
• DOI: 10.14495/jsiaml.4.25
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/4/0/4_25/_pdf
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可