Modulus-based multigrid methods for linear complementarity problems

doi:10.1002/nla.2105

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Modulus-based multigrid methods for linear complementarity problems
	Bai, Zhong-Zhi1,2 ; Zhang, Li-Li 1,3
刊名	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
	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
DOI	10.1002/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
出版者	WILEY
WOS记录号	WOS:000417584700006
内容类型	期刊论文
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.