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The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems
Zheng,Hua1; Vong,Seakweng2; Liu,Ling1
2019-08-03
Source PublicationInternational Journal of Computer Mathematics
ISSN0020-7160
Volume96Issue:8Pages:1648-1667
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.

KeywordH-matrix Modulus-based Matrix Splitting Iteration Method Nonlinear Complementarity Problem Positive Definite Matrix Relaxation
DOI10.1080/00207160.2018.1504928
URLView the original
Language英語English
WOS IDWOS:000468295900008
Scopus ID2-s2.0-85051419195
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Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Corresponding AuthorZheng,Hua
Affiliation1.School of Mathematics and Statistics,Shaoguan University,Shaoguan,China
2.Department of Mathematics,University of Macau,Macao
Recommended Citation
GB/T 7714
Zheng,Hua,Vong,Seakweng,Liu,Ling. The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems[J]. International Journal of Computer Mathematics, 2019, 96(8), 1648-1667.
APA Zheng,Hua., Vong,Seakweng., & Liu,Ling (2019). The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems. International Journal of Computer Mathematics, 96(8), 1648-1667.
MLA Zheng,Hua,et al."The relaxation modulus-based matrix splitting iteration method for solving a class of nonlinear complementarity problems".International Journal of Computer Mathematics 96.8(2019):1648-1667.
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