Modulus-based multigrid methods for linear complementarity problems

doi:10.1002/nla.2105

	Modulus-based multigrid methods for linear complementarity problems
	Bai, Zhong-Zhi1,2 ; Zhang, Li-Li 1,3
	2017-12-01
发表期刊	NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
ISSN	1070-5325
卷号	24 期号:6 页码:15
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.
关键词	asymptotic convergence factor linear complementarity problem local Fourier analysis modulus-based matrix splitting iteration multigrid method
DOI	10.1002/nla.2105
语种	英语
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
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000417584700006
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29244
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.