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M. Morimoto, K. Harada, M. Sakakihara and H. Sawami, “The Gauss-Seidel Iterative Method with the Preconditioning Matrix (I + S + Sm),” Japan Journal of Industrial and Applied Mathematics, Vol. 21, No. 1, 2004, pp. 25-34. doi:10.1007/BF03167430

has been cited by the following article:

• 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.