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COMPARISON RESULTS FOR THE PRECONDITIONED GAUSS-SEIDEL METHODS

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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)

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  5. W. Li, "Comparison results for solving preconditioned linear systems", J. Comput. Appl. Math, 176(2), pp.319~329 (2005)
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  7. M. Neumann, "Convergence of parallel multisplitting iterative meth- ods for M-matrices", Linear Algebra Appl, 88, pp.559~573 (1987)
  8. 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)
  9. L. Sun, "A comparison theorem for the SOR iterative method", J. Comput. Appl. Math, 181(2), pp.336~341 (2005)
  10. R. S. Varga, "Matrix Iterative Analysis" (2000), Springer
  11. J. H. Yun, "A note on the improving modi ed Gauss-Seidel (IMGS) method", Appl. Math. Comput, 184(2), pp.674~679 (2007)
  12. 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

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