Two-parameter parallel jacobi-type method and its convergence

Hu Jia-Gan Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, Beijing, 100088, People's Republic of China

Liu Xing-Ping Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing, Beijing, 100088, People's Republic of China

Abstract

In this paper, the two-parameter parallel Jacobi-Type method for solving systems of linear algebraic equations is proposed and the convergence is analysed. Several examples are given. For the model problem we give the region of convergence, the optimum parameters and the optimum rate of convergence. The results are satisfactory.

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Two-parameter parallel jacobi-type method and its convergence

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Two-parameter parallel jacobi-type method and its convergence

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