Further results on the preconditioned sor method
M. Madalena Martins, David John Evans, W.S. Yousif · International Journal of Computer Mathematics · 2001
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.