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The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems
Bai, ZZ
1996-06-01
Source PublicationCOMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN0898-1221
Volume31Issue:12Pages:17-33
AbstractWe set up a class of parallel nonlinear multisplitting AOR methods by directly multisplitting the nonlinear mapping involved in the nonlinear complementarity problems. The different choices of the relaxation parameters can yield all the known and a lot of new relaxation methods, as well as a lot of new relaxed parallel nonlinear multisplitting methods for solving the nonlinear complementarity problems. The two-sided approximation properties and the influences on the convergence rates from the relaxation parameters about our new methods are shown, and sufficient conditions guaranteeing the methods to converge globally are discussed. Finally, a lot of numerical results show that our new methods are feasible and efficient.
Keywordnonlinear complementarity problem nonlinear multisplitting monotonicity global convergence
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:A1996UV85800004
PublisherPERGAMON-ELSEVIER SCIENCE LTD
Citation statistics
Cited Times:11[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28884
Collection中国科学院数学与系统科学研究院
AffiliationCHINESE ACAD SCI,STATE KEY LAB SCI ENGN COMP,INST COMPUTAT MATH & SCI ENGN COMP,POB 2719,BEIJING 100080,PEOPLES R CHINA
Recommended Citation
GB/T 7714
Bai, ZZ. The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,1996,31(12):17-33.
APA Bai, ZZ.(1996).The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems.COMPUTERS & MATHEMATICS WITH APPLICATIONS,31(12),17-33.
MLA Bai, ZZ."The monotone convergence of a class of parallel nonlinear relaxation methods for nonlinear complementarity problems".COMPUTERS & MATHEMATICS WITH APPLICATIONS 31.12(1996):17-33.
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