• Title/Summary/Keyword: SSOR multisplitting

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CONVERGENCE OF SSOR MULTISPLITTING METHOD FOR AN M-MATRIX

  • Yun, Jae-Heon;Han, Yu-Du;Oh, Se-Young
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.273-282
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    • 2007
  • In this paper, we study the convergence of both the multisplitting method and the relaxed multisplitting method associated with SOR or SSOR multisplittings for solving a linear system whose coefficient matrix is an M-matrix.

CONVERGENCE OF MULTISPLITTING METHODS WITH DIFFERENT WEIGHTING SCHEMES

  • Oh, Se-Young;Yun, Jae-Heon;Han, Yu-Du
    • Journal of applied mathematics & informatics
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    • v.30 no.3_4
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    • pp.593-602
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    • 2012
  • In this paper, we first introduce a special type of multisplitting method with different weighting scheme, and then we provide convergence results of multisplitting methods with different weighting schemes corresponding to both the AOR-like multisplitting and the SSOR-like multisplitting.

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.