• Title, Summary, Keyword: AOR multisplitting

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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.

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.

ON THE CONVERGENCE OF PARALLEL GAOR METHOD FOR BLOCK DIAGONALLY DOMINANT MATRICES

  • Liu, Qingbing
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1319-1330
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    • 2009
  • In [2] A.Hadjidimos proposed the generalized accelerated over-relaxation (GAOR) methods which generalize the basic iterative method for the solution of linear systems. In this paper we consider the convergence of the two parallel accelerated generalized AOR iterative methods and obtain some convergence theorems for the case when the coefficient matrix A is a block diagonally dominant matrix or a generalized block diagonally dominant matrix.

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