논문KCI 등재
COMPARISON RESULTS FOR THE PRECONDITIONED GAUSS-SEIDEL METHODS
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회논문집 (Communications of the KMS)|제27권 제1호|pp. 207-215
2
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we provide comparison results of several types of the preconditioned Gauss-Seidel methods for solving a linear system whose coefficient matrix is a Z-matrix. Lastly, numerical results are presented to illustrate the theoretical results.
Abstract
In this paper, we provide comparison results of several types of the preconditioned Gauss-Seidel methods for solving a linear system whose coefficient matrix is a Z-matrix. Lastly, numerical results are presented to illustrate the theoretical results.
참고문헌 (12)
- A. Berman, "Nonnegative Matrices in The Mathematical Sciences" (1994), Society for Industrial and Applied Mathematics
- D. J. Evans, "The AOR iterative method for new preconditioned linear systems", J. Comput. Appl. Math, 132(2), pp.461~466 (2001)
- A. Gunawardena, "Modied iterative methods for consistent linear systems", Linear Algebra Appl, 154, pp.123~143 (1991)
- T. Kohno, "Improving the modied Gauss-Seidel method for Z-matrices", Linear Algebra Appl, 267, pp.113~123 (1997)
- W. Li, "Comparison results for solving preconditioned linear systems", J. Comput. Appl. Math, 176(2), pp.319~329 (2005)
- W. Li, "A note on the preconditioned Gauss-Seidel (GS) method for linear systems", J. Comput. Appl. Math, 182(1), pp.81~90 (2005)
- M. Neumann, "Convergence of parallel multisplitting iterative meth- ods for M-matrices", Linear Algebra Appl, 88, pp.559~573 (1987)
- H. Niki, "The survey of preconditioners used for accelerating the rate of convergence in the Gauss-Seidel method", J. Comput. Appl. Math, 164, pp.587~600 (2004)
- L. Sun, "A comparison theorem for the SOR iterative method", J. Comput. Appl. Math, 181(2), pp.336~341 (2005)
- R. S. Varga, "Matrix Iterative Analysis" (2000), Springer
- J. H. Yun, "A note on the improving modied Gauss-Seidel (IMGS) method", Appl. Math. Comput, 184(2), pp.674~679 (2007)
- 윤재헌, "A note on preconditioned AOR method for L-matrices", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 220(1-2), pp.13~16, ELSEVIER SCIENCE BV
관련 논문AI추천
Preconditioned Gauss-Seidel iterative method for Z-matrices linear systemsChunji Li, Hailong Shen, Xinhui Shao, Zhenxing Huang대한수학회 · 대한수학회보2011 · 제48권 제2호On convergence of the modified Gauss-Seidel iterative method for H-matrix linear systemBing Zheng, Shu-Xin Miao대한수학회 · 대한수학회논문집2013 · 제28권 제3호CONVERGENCE OF MULTISPLITTING METHODS WITH PREWEIGHTING FOR AN H-MATRIX한유두, Jae Heon Yun대한수학회 · 대한수학회보2012 · 제49권 제5호CONVERGENCE OF RELAXED TWO-STAGE MULTISPLITTING METHOD USING AN OUTER SPLITTING윤재헌대한수학회 · 대한수학회보2010 · 제47권 제4호Preconditioned SSOR methods for the linear complementarity problem with $M$-matrixDan Zhang대한수학회 · 대한수학회논문집2019 · 제34권 제2호Parallel performance of multisplitting methods with preweighting윤재헌, 한유두대한수학회 · 대한수학회지2012 · 제49권 제4호
