• Title, Summary, Keyword: preweighting

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PARALLEL PERFORMANCE OF MULTISPLITTING METHODS WITH PREWEIGHTING

  • Han, Yu-Du;Yun, Jae-Heon
    • Journal of the Korean Mathematical Society
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    • v.49 no.4
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    • pp.805-827
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    • 2012
  • In this paper, we first study convergence of a special type of multisplitting methods with preweighting, and then we provide some comparison results of those multisplitting methods. Next, we propose both parallel implementation of an SOR-like multisplitting method with preweighting and an application of the SOR-like multisplitting method with preweighting to a parallel preconditioner of Krylov subspace method. Lastly, we provide parallel performance results of both the SOR-like multisplitting method with preweighting and Krylov subspace method with the parallel preconditioner to evaluate parallel efficiency of the proposed methods.

CONVERGENCE OF MULTISPLITTING METHODS WITH PREWEIGHTING FOR AN H-MATRIX

  • Han, Yu-Du;Yun, Jae-Heon
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.997-1006
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    • 2012
  • In this paper, we study convergence of multisplitting methods with preweighting for solving a linear system whose coefficient matrix is an H-matrix corresponding to both the AOR multisplitting and the SSOR multisplitting. Numerical results are also provided to confirm theoretical results for the convergence of multisplitting methods with preweighting.