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Practical convergent splittings and acceleration methods for non-Hermitian positive definite linear systems |
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| Authors: | Chuan-Long Wang Guo-Yan Meng Yan-Hong Bai |
| Affiliation: | 1. Department of Mathematics, Taiyuan Normal University, Taiyuan, 030012, Shanxi Province, People’s Republic of China 2. Department of Computer Science, Xinzhou Normal University, Xinzhou, 034000, Shanxi Province, People’s Republic of China |
| Abstract: | We present two practical convergent splittings for solving a non-Hermitian positive definite system. By these new splittings and optimization models, we derive three new improved Chebyshev semi-iterative methods and discuss convergence of these methods. Finally, the numerical examples show that the acceleration methods can reduce evidently the amount of work in computation. |
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