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W. Li and W. Sun, “Modified Gauss-Seidel Type Methods and Jacobi Type Methods for Z-Matrices,” Linear Algebra and Its Applications, Vol. 317, 2000, pp. 227-240. doi:10.1016/S0024-3795(00)00140-3

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• TITLE: A Modified Precondition in the Gauss-Seidel Method

  AUTHORS: Alimohammad Nazari, Sajjad Zia Borujeni

  KEYWORDS: Preconditioning; Gauss-Seidel Method; Regular Splitting; Z-Matrix; Nonnegative Matrix

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.2 No.3, September 24, 2012

  ABSTRACT: In recent years, a number of preconditioners have been applied to solve the linear systems with Gauss-Seidel method (see [1-7,10-12,14-16]). In this paper we use Sl instead of (S + Sm) and compare with M. Morimoto’s precondition [3] and H. Niki’s precondition [5] to obtain better convergence rate. A numerical example is given which shows the preference of our method.