Article citationsMore>>

H. Kotakemori, K. Harada, M. Morimoto and H. Niki, “A Comparison Theorem for the Iterative Method with the Preconditioner (I + Smax),” Journal of Computational and Applied Mathematics, Vol. 145, No. , 2002, pp. 373-378. doi:10.1016/S0377-0427(01)00588-X

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.