中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Generalized AOR method for the augmented system

文献类型:期刊论文

作者Li ZJ(李长军); Li, Z; Nie YY(聂义勇); Evans, DJ
刊名INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
出版日期2004
卷号81期号:4页码:495-504
关键词AOR method SOR-like method GAOR method saddle point problem augmented system iterative method optimum parameter
ISSN号0020-7160
产权排序1
中文摘要In this article, the accelerated over-relaxation (AOR) method is generalized for solving the saddle point problem or the augmented system. The successive over-relaxation (SOR)-like method is the special case of the generalized AOR (GAOR) method. The connection between the parameters and the eigenvalues of the iteration matrix of the GAOR method is given. Therefore, a necessary and sufficient condition for the convergence of the GAOR method is derived. Numerical examples are also given to show that the GAOR method is better than the SOR-like method in certain cases.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Mathematics, Applied
研究领域[WOS]Mathematics
关键词[WOS]SADDLE-POINT PROBLEMS
收录类别SCI ; EI
语种英语
WOS记录号WOS:000220716600009
公开日期2012-05-29
源URL[http://ir.sia.cn/handle/173321/6906]  
专题沈阳自动化研究所_工业信息学研究室_工业控制系统研究室
推荐引用方式
GB/T 7714
Li ZJ,Li, Z,Nie YY,et al. Generalized AOR method for the augmented system[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2004,81(4):495-504.
APA Li ZJ,Li, Z,Nie YY,&Evans, DJ.(2004).Generalized AOR method for the augmented system.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,81(4),495-504.
MLA Li ZJ,et al."Generalized AOR method for the augmented system".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 81.4(2004):495-504.

入库方式: OAI收割

来源:沈阳自动化研究所

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