Abstract:

For solving a linear system Ax=b, new preconditioning methods are presented. Certain elementary row operations are performed on  A before pplying the GaussSeidel iterative method. It is shown that convergence rate of the proposed methods is superior to that of the basic Gauss Seidel teration, and the proposed methods contain the methods in the recent papers of T. Kohno, et al, ［2］ and A.D. Gunawardena

Key words: Gauss seidel iteration')">

Gauss seidel iteration, Z matrix;Diagona')">Preconditioned method;Z matrix;Diagona