Further results on the preconditioned sor method

Abstract

Several methods have been developed on the preconditioned iterative methodsi. e iterative methods applied to preconditioned linear systems. Usui, Kohno and Niki [4] have proposed the adaptive Gauss-Seidel (GS) method, and the same authors [5] have presented the pre-conditioned SOR method. They have shown, with the aid of numerical examples, that the two methods have a better rate of convergence in comparison with the classical SOR method. In this paper we will prove theoretically the improvement in the rate of convergence.

Keywords:

• Sor Method
• Preconditioned System
• Convergence Rate

C.R. Categories:

• G1.3

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Notes

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