2015•Unpublished venueRequires access

Study on the Convergence of Solving Linear Equations by Gauss-Seidel and Jacobi Method

Hongxia Liu, Tianxiang Feng

Abstract

First, the convergence conditions of Gauss - Seidel method and Jacobi method are shown. And then the iterative times of the two methods are discussed and the formula of estimate iterative times is obtained. Finally, a numerical example is calculated by the two methods and the results show the actual iterative times and the estimate iterative times are basically equal.

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Available abstract

Key concepts: Gauss–Seidel method, Iterative method, Convergence (economics), Jacobi method, Applied mathematics, Local convergence, Mathematics, Successive over-relaxation