• 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.
Keywords
Spectral radius, Preconditioning, Preconditioned linear system, Modified Jacobi method, Modified Gauss-Seidel method, M-matrix, Comparison theorem.
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