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Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems
Bai, ZZ
1998-06-01
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume92Issue:1Pages:85-100
AbstractIn accordance with the principle of sufficiently using delayed information, and making use of the nonlinear multisplitting and the nonlinear relaxation techniques, we present in this paper a class of asynchronous parallel nonlinear multisplitting successive overrelaxation (SOR) methods for solving large sparse nonlinear complementarity problems on high-speed MIMD multiprocessor systems. These new methods particularly include the so-called asynchronous parallel nonlinear multisplitting SOR-Newton method, asynchronous parallel nonlinear multisplitting SOR-chord method and asynchronous parallel nonlinear multisplitting SOR-Steffensen method. Under suitable conditions we establish the local convergence theory of this class of new methods. Numerical imitations show that our new methods are feasible and efficient for solving the nonlinear complementarity problems on the MIMD multiprocessor systems. (C) 1998 Elsevier Science Inc. All rights reserved.
Keywordnonlinear complementarity problem nonlinear multisplitting relaxation method local convergence asynchronous parallel computation
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000073853900007
PublisherELSEVIER SCIENCE INC
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13929
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, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Bai, ZZ. Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems[J]. APPLIED MATHEMATICS AND COMPUTATION,1998,92(1):85-100.
APA Bai, ZZ.(1998).Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems.APPLIED MATHEMATICS AND COMPUTATION,92(1),85-100.
MLA Bai, ZZ."Asynchronous parallel nonlinear multisplitting relaxation methods for large sparse nonlinear complementarity problems".APPLIED MATHEMATICS AND COMPUTATION 92.1(1998):85-100.
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