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The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems
Hua Zheng1; Seakweng Vong2; Ling Liu1
2018
Source PublicationInternational Journal of Computer Mathematics
ISSN0020-7160
Abstract

In this paper, by the relaxation technique, the relaxation modulus-based matrix splitting iteration method is presented for solving a class of nonlinear complementarity problems. The convergence conditions are given when the system matrix is a positive definite matrix or an H-matrix. The strategy of the choice of the relaxation parameters is discussed. Numerical examples show that the proposed method is efficient and accelerates the convergence performance of the modulus-based matrix splitting iteration method and the projection-based matrix splitting iteration method

KeywordNonlinear Complementarity Problem Positive Definite Matrix Relaxation Modulus-based Matrix Splitting Iteration Method H-matrix
DOI10.1080/00207160.2018.1504928
Language英語English
WOS IDWOS:000468295900008
Scopus ID2-s2.0-85051419195
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Document TypeJournal article
CollectionFaculty of Science and Technology
Corresponding AuthorHua Zheng
Affiliation1.School of Mathematics and Statistics, Shaoguan University, Shaoguan, People’s Republic China
2.Department of Mathematics, University of Macau, Macau, People’s Republic China
Recommended Citation
GB/T 7714
Hua Zheng,Seakweng Vong,Ling Liu. The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems[J]. International Journal of Computer Mathematics, 2018.
APA Hua Zheng., Seakweng Vong., & Ling Liu (2018). The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems. International Journal of Computer Mathematics.
MLA Hua Zheng,et al."The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems".International Journal of Computer Mathematics (2018).
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