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Modulus-based multigrid methods for linear complementarity problems

文献类型：期刊论文

作者Bai, Zhong-Zhi1,2; Zhang, Li-Li1,3
刊名NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
出版日期2017-12-01
卷号24期号:6页码:15
关键词asymptotic convergence factor linear complementarity problem local Fourier analysis modulus-based matrix splitting iteration multigrid method
ISSN号1070-5325
DOI10.1002/nla.2105
英文摘要By employing modulus-based matrix splitting iteration methods as smoothers, we establish modulus-based multigrid methods for solving large sparse linear complementarity problems. The local Fourier analysis is used to quantitatively predict the asymptotic convergence factor of this class of multigrid methods. Numerical results indicate that the modulus-based multigrid methods of the W-cycle can achieve optimality in terms of both convergence factor and computing time, and their asymptotic convergence factors can be predicted perfectly by the local Fourier analysis of the corresponding modulus-based two-grid methods.
资助项目National Basic Research Program[2011CB309703] ; National Natural Science Foundation[11671393] ; National Natural Science Foundation[91118001] ; National Natural Science Foundation[11301141] ; National Natural Science Foundation for Creative Research Groups[11321061] ; Scientific and Technological Research Project of Henan Province[162102310385] ; Foundation for University Young Key Teacher Program of Henan Province, China[2015GGJS-006]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000417584700006
出版者WILEY
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/29243]  
专题计算数学与科学工程计算研究所
通讯作者Bai, Zhong-Zhi
作者单位1.Chinese Acad Sci, State Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, POB 2719, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Henan Univ Econ & Law, Sch Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China
推荐引用方式
GB/T 7714		 Bai, Zhong-Zhi,Zhang, Li-Li. Modulus-based multigrid methods for linear complementarity problems[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,2017,24(6):15.
APA Bai, Zhong-Zhi,&Zhang, Li-Li.(2017).Modulus-based multigrid methods for linear complementarity problems.NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS,24(6),15.
MLA Bai, Zhong-Zhi,et al."Modulus-based multigrid methods for linear complementarity problems".NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 24.6(2017):15.

入库方式： OAI收割

来源：数学与系统科学研究院

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