TWO NEW MODIFIED ITERATIVE METHODS FOR SOLVING LINEAR SYSTEMS

Abstract

In order to improve the convergence rate of the iterative methods namely Jacobi method and Gauss-Seidel method, we consider a new preconditioner based on the preconditioner proposed by Zhouji Chen [4]. We discuss some of the convergence property and also provide some comparison results of the new methods. In addition, some simple numerical examples are also introduced to illustrate the theoretical analysis.