An alternating LHSS preconditioner for saddle point problems

被引：0
作者：
Liu Qingbing [1 ,2 ]
机构：
[1] Zhejiang Wanli Univ, Dept Math, Ningbo 315100, Zhejiang, Peoples R China
[2] E China Normal Univ, Dept Math, Shanghai 200241, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2012年 / 31卷 / 02期
基金：
中国国家自然科学基金;
关键词：
saddle point problems; matrix splitting; preconditioner; eigenvalue distribution; HERMITIAN SPLITTING METHODS; DEFINITE LINEAR-SYSTEMS; CONSTRAINT PRECONDITIONERS; NUMERICAL-SOLUTION; MATRICES; EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a new alternating local Hermitian and skew-Hermitian splitting preconditioner for solving saddle point problems. The spectral property of the preconditioned matrices is studies in detail. Theoretical results show all eigenvalues of the preconditioned matrices will generate two tight clusters, one is near (0, 0) and the other is near (2, 0) as the iteration parameter tends to zero from positive. Numerical experiments are given to validate the performances of the preconditioner.
引用
收藏
页码：339 / 352
页数：14
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