2015•International Journal of Applied Mathematics & Statistics/International journal of applied mathematics and statisticsOpen access

A new preconditioned Gauss-Seidel method for linear systems

Bing-Yuan Pu, Chun Wen

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Abstract

In this paper, a new preconditioner is introduced to improve the convergence rate of the Gauss-Seidel iterative method in linear systems, and some comparison theorems are derived. Numerical examples demonstrate the efficiency of the proposed method.

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Key concepts: Preconditioner, Gauss–Seidel method, Mathematics, Applied mathematics, Rate of convergence, Iterative method, Linear system, Convergence (economics)