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CONVERGENCE OF RELAXED TWO-STAGE MULTISPLITTING METHOD USING AN OUTER SPLITTING

윤재헌
대한수학회 (The Korean Mathematical Society)|2010.07|대한수학회보 (Bulletin of the KMS)|제47권 제4호|pp. 727-741

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참고문헌

키워드

H-matrix.H-compatible splittingSOR multisplittingrelaxed two-stage multisplitting method
주제분류수학

초록

In this paper, we study the convergence of relaxed two-stage multisplitting method using H-compatible splittings or SOR multisplitting as inner splittings and an outer splitting for solving a linear system whose coefficient matrix is an H-matrix. We also provide numerical experiments for the convergence of the relaxed two-stage multisplitting method.

Abstract

In this paper, we study the convergence of relaxed two-stage multisplitting method using H-compatible splittings or SOR multisplitting as inner splittings and an outer splitting for solving a linear system whose coefficient matrix is an H-matrix. We also provide numerical experiments for the convergence of the relaxed two-stage multisplitting method.

참고문헌 (9)

  1. A. Berman, "Nonnegative Matrices in the Mathematical Sciences, Computer Science and Applied Mathematics" (1979), Academic Press
  2. R. Bru, "Parallel, synchronous and asynchronous two-stage multisplitting methods", Electron. Trans. Numer. Anal., 3, pp.24~38 (1995)
  3. A. Frommer, "Convergence of relaxed parallel multisplitting methods", Linear Algebra Appl., 119, pp.141~152 (1989)
  4. M. Neumann, "Convergence of parallel multisplitting iterative methods for M-matrices", Linear Algebra Appl., 88, pp.559~573 (1987)
  5. D. P. O'Leary, "Multisplittings of matrices and parallel solution of linear systems", SIAM J. Algebraic Discrete Methods, 6(4), pp.630~640 (1985)
  6. D. B. Szyld, "Two-stage and multisplitting methods for the parallel solution of linear systems", SIAM J. Matrix Anal. Appl., 13(2), pp.671~679 (1992)
  7. R. S. Varga, "Matrix Iterative Analysis" (1962), Prentice-Hall, Inc.
  8. D. Wang, "On the convergence of the parallel multisplitting AOR algorithm", Linear Algebra Appl., 154, pp.473~486 (1991)
  9. J. H. Yun, "Performance of ILU factorization preconditioners based on multisplittings", Numer. Math., 95(4), pp.761~779 (2003)

관련 논문AI추천

CONVERGENCE OF MULTISPLITTING METHODS WITH PREWEIGHTING FOR AN H-MATRIX한유두, Jae Heon Yun대한수학회 · 대한수학회보2012 · 제49권 제5호Parallel performance of multisplitting methods with preweighting윤재헌, 한유두대한수학회 · 대한수학회지2012 · 제49권 제4호COMPARISON RESULTS FOR THE PRECONDITIONED GAUSS-SEIDEL METHODS윤재헌대한수학회 · 대한수학회논문집2012 · 제27권 제1호On convergence of the modified Gauss-Seidel iterative method for H-matrix linear systemBing Zheng, Shu-Xin Miao대한수학회 · 대한수학회논문집2013 · 제28권 제3호Preconditioned SSOR methods for the linear complementarity problem with $M$-matrixDan Zhang대한수학회 · 대한수학회논문집2019 · 제34권 제2호Acceleration of one-parameter relaxation methods for singular saddle point problemsJae Heon Yun대한수학회 · 대한수학회지2016 · 제53권 제3호

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