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Several splittings for non-Hermitian linear systems 被引量：4

Several splittings for non-Hermitian linear systems
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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 ineffective. 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.
作者 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
出处 《Science China Mathematics》 SCIE 2008年第8期1339-1348,共10页 中国科学：数学（英文版）
基金 the National Basic Research Program(Grant No.2005CB321702) The ChinaOutstanding Young Scientist Foundation(Grant No.10525102) the National Natural Science Foundation of China(Grant No.10471146)
关键词 Hermitian and skew-Hermitian splitting non-Hermitian linear system splitting iterative scheme CONVERGENCE 65F10 65F15 65F50 65N22 Hermitian and skew-Hermitian splitting non-Hermitian linear system splitting iterative scheme convergence
分类号 O151.21 [理学—基础数学]
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Science China Mathematics
2008年 第8期

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