Block BiCGGR: a new Block Krylov subspace method for computing high accuracy solutions

• Tadano Hiroto

  Department of Computer Science, University of Tsukuba

• Sakurai Tetsuya

  Department of Computer Science, University of Tsukuba

• Kuramashi Yoshinobu

  Graduate School of Pure and Applied Sciences, University of Tsukuba

抄録

In this paper, the influence of errors which arise in matrix multiplications on the accuracy of approximate solutions generated by the Block BiCGSTAB method is analyzed. In order to generate high accuracy solutions, a new Block Krylov subspace method named “Block BiCGGR” is also proposed. Some numerical experiments illustrate that the Block BiCGGR method can generate high accuracy solutions compared with the Block BiCGSTAB method.

収録刊行物

• JSIAM Letters

  JSIAM Letters 1 (0), 44-47, 2009

  一般社団法人 日本応用数理学会

キーワード

• Block Krylov subspace methods
• Block BiCGSTAB
• linear systems with multiple right hand sides
• high accuracy solutions

詳細情報

• CRID: 1390282680276149632
• NII論文ID: 130000133081
• DOI: 10.14495/jsiaml.1.44
• ISSN: 18830617
• ISSN: 18830609
• Web Site: https://www.jstage.jst.go.jp/article/jsiaml/1/0/1_0_44/_pdf
• 本文言語コード: en
• データソース種別:
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  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可