Article ID Journal Published Year Pages File Type
4635633 Applied Mathematics and Computation 2007 10 Pages PDF
Abstract
Milaszewicz [J.P. Milaszewicz, Improving Jacobi and Gauss-Seidel iterations, Linear Algebra Appl. 93 (1987) 161-170] and Gunawardena et al. [A.D. Gunawardena, S.K. Jain, L. Snyder, Modified iteration methods for consistent linear systems, Linear Algebra Appl. 154-156 (1991) 123-143] presented preconditioned methods for linear system in order to improve the convergence rates of Jacobi and Gauss-Seidel iterative schemes, respectively. In this paper, we apply AOR and SOR iterative schemes to the preconditioned linear systems and provide two theorems to improve the convergence rates of these iterative methods. Meanwhile, the methods in this paper can be used to more class of linear systems.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, , ,