Parallel multisplitting two-stage iterative methods with general weighting matrices for non-symmetric positive definite systems |
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Authors: | Chuan-Long Wang Guo-Yan Meng |
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Institution: | 1. Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, Shanxi Province, PR China;2. Department of Computer Science, Xinzhou Normal University, PR China |
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Abstract: | In this work, we propose a new parallel multisplitting iterative method for non-symmetric positive definite linear systems. Based on optimization theory, the new method has two great improvements; one is that only one splitting needs to be convergent, and the other is that the weighting matrices are not scalar and nonnegative matrices. The convergence of the new parallel multisplitting iterative method is discussed. Finally, the numerical results show that the new method is effective. |
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Keywords: | Two-stage Weighting matrices Parallel multisplitting Non-symmetric matrix Linear systems |
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