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.