| Several splittings for non-Hermitian linear systems |
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| 作者单位： | BAI Zhong-Zhi State Key Laboratory of Scientific/Engineering Computing，Institute of Computational Mathematics and Scientific/Engineering Computing，Academy of Mathematics and Systems Science，Chinese Academy of Sciences，P.O.Box 2719，Beijing 100080，China |
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| 摘 要： | For large sparse non-Hermitian positive definite system of linear equations,we present several variants of the Hermitian and skew-Hermitian splitting(HSS)about the coefficient matrix and establish correspondingly several HSS-based iterative schemes.Theoretical analyses show that these methods are convergent unconditionally to the exact solution of the referred system of linear equations,and they may show advantages on problems that the HSS method is ineffiective.
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Several splittings for non-Hermitian linear systems |
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| Authors: | Zhong-Zhi Bai |
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| Institution: | (1) State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing, 100080, China |
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| Abstract: | For large sparse non-Hermitian positive definite system of linear equations,we present several variants of the Hermitian and skew-Hermitian splitting(HSS)about the coefficient matrix and establish correspondingly several HSS-based iterative schemes.Theoretical analyses show that these methods are convergent unconditionally to the exact solution of the referred system of linear equations,and they may show advantages on problems that the HSS method is ineffiective. |
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| Keywords: | Hermitian and skew-Hermitian splitting non-Hermitian linear system splitting iterative scheme convergence |
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