Convergence of Nonstationary Iterative Methods for Solving Singular Linear Equations with Index One |
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| Authors: | Haifeng Ma Cheng Xiao |
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| Affiliation: | 1. School of Mathematical Science, Harbin Normal University, Harbin, P. R. Chinahaifengma@aliyun.com;3. Department of Research, Shanghai Technolgy Co. Ltd, Shanghai, P. R. China |
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| Abstract: | In this paper, we investigate the nonstationary iterative scheme for solving consistent singular linear system with index one. We utilize the group inverse to present a sufficient condition for the convergence of the nonstationary iterative method. Our result extends the known results of the stationary iterative scheme. Finally, we present a sufficient condition for the multisplitting algorithm and provide numerical examples to illustrate the advantages of nonstationary method. |
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| Keywords: | Group inverse index one multisplitting iterative scheme P-regular splitting quotient convergence singular linear equations |
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