2019•Journal of Physics Conference SeriesOpen access

The alternate iterative Gauss-Seidel method for linear systems

Bing-Yuan Pu, Xun Yuan

Abstract

Abstract In this paper, we present an alternate iterative Gauss-Seidel method for linear systems. The spectral radius of the iteration matrix and the convergence of the proposed method are discussed. Finally, the numerical examples are provided to confirm our theoretical analysis and demonstrate the efficiency of the new method.

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Key concepts: Gauss–Seidel method, Spectral radius, Iterative method, Convergence (economics), Applied mathematics, Mathematics, Linear system, Matrix (chemical analysis)