On parallel multisplitting methods for symmetric positive semidefinite linear systems |
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| Authors: | Guangxi Cao Yongzhong Song |
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| Affiliation: | 1. School of Economics and Management, Nanjing University of Information Science & Technology, Nanjing 210044, People's Republic of China;2. Institute of Mathematics, Nanjing Normal University, Nanjing 210097, People's Republic of China |
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| Abstract: | In this paper we propose some parallel multisplitting methods for solving consistent symmetric positive semidefinite linear systems, based on modified diagonally compensated reduction. The semiconvergence of the parallel multisplitting method is discussed. The results here generalize some known results for the nonsingular linear systems to the singular systems. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | singular linear systems symmetric positive semidefinite matrix multisplitting modified diagonally compensated reduction semiconvergence |
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