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Modulus-based multigrid methods for linear complementarity problems
Bai, Zhong-Zhi1,2; Zhang, Li-Li1,3
AbstractBy 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.
Keywordasymptotic convergence factor linear complementarity problem local Fourier analysis modulus-based matrix splitting iteration multigrid method
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000417584700006
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Document Type期刊论文
Corresponding AuthorBai, Zhong-Zhi
Affiliation1.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
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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.
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