Author(s)

Alimohammad Nazari, Sajjad Zia Borujeni

Department of Mathematics, Faculty of Science, Arak University, Arak, Iran.

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 S_l instead of (S + S_m) 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.

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

A. Nazari and S. Borujeni, "A Modified Precondition in the Gauss-Seidel Method," Advances in Linear Algebra & Matrix Theory, Vol. 2 No. 3, 2012, pp. 31-37. doi: 10.4236/alamt.2012.23005.