Development of the Shifted Block BiCGSTAB(l) Method and Improvement of Its Accuracy

DOI Open Access
  • Saito Shusaku
    Graduate School of Systems and Information Engineering, University of Tsukuba
  • Tadano Hiroto
    Graduate School of Systems and Information Engineering, University of Tsukuba Center for Computational Sciences, University of Tsukuba
  • Imakura Akira
    Center for Computational Sciences, University of Tsukuba

Bibliographic Information

Other Title
  • Shifted Block BiCGSTAB(ℓ)法の構築とその高精度化

Description

<p>Abstract. In this paper, we develop the Shifted Block BiCGSTAB(ℓ) method for solving linear systems with multiple right hand sides and multiple shifts. This method is based on the Block BiCGSTAB(ℓ) method and the Shifted BiCGSTAB(ℓ) method. We also discuss the accuracy of the Shifted Block BiCGSTAB(ℓ) method and propose more accurate method. In numerical experiments, the Shifted Block BiCGSTAB(ℓ) method is faster than the Shifted BiCGSTAB(ℓ) method for each right hand side, although it’s accuracy is a little lower than the other in some cases.</p>

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Details 詳細情報について

  • CRID
    1390001205768739712
  • NII Article ID
    130005267552
  • DOI
    10.11540/jsiamt.26.3_318
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
    • KAKEN
  • Abstract License Flag
    Disallowed

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