Global relaxed non-stationary multisplitting multi-parameter methods

Authors:
Li-Tao Zhang;Ting-Zhu Huang;Tong-Xiang Gu
Affiliations:
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China;National Key Lab of Comp. Phy., Institute of Applied Physics and Computational Mathematics, Beijing, P.R. China
Venue:
International Journal of Computer Mathematics
Year:
2008

Citing 3
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Abstract

Based on the local relaxed method and the system relaxed method of parallel multisplitting described by Frommer and Mayer, the paper presents a global relaxed non-stationary multisplitting multi-parameter method by introducing some relaxed parameters. Convergence of these methods when coefficient matrices are H-matrices is investigated. Efficiency of the global relaxed non-stationary multisplitting multi-parameter method is shown by numerical experiments. These indicate that, when choosing the approximately optimal relaxed parameters, the methods have a faster convergent rate than previous methods.