Several splittings for non-Hermitian linear systems

被引:0
作者
Zhong-Zhi Bai
机构
[1] Chinese Academy of Sciences,State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science
来源
Science in China Series A: Mathematics | 2008年 / 51卷
关键词
Hermitian and skew-Hermitian splitting; non-Hermitian linear system; splitting iterative scheme; convergence; 65F10; 65F15; 65F50; 65N22;
D O I
暂无
中图分类号
学科分类号
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.
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页码:1339 / 1348
页数:9
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