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A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems
Bai, ZZ
1998-07-02
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume93Issue:1Pages:35-44
AbstractIn accordance with the principle of using sufficiently the delayed information, and by making use of the nonlinear multisplitting and the nonlinear relaxation techniques, we present in this paper a class of asynchronous parallel nonlinear multisplitting accelerated overrelaxation (AOR) methods for solving the large sparse nonlinear complementarity problems on the high-speed MIMD multiprocessor systems. These new methods, in particular, include the so-called asynchronous parallel nonlinear multisplitting AOR-Newton method, the asynchronous parallel nonlinear multisplitting AOR-chord method and the asynchronous parallel nonlinear multisplitting AOR-Steffensen method. Under suitable constraints on the nonlinear multisplitting and the relaxation parameters, we establish the local convergence theory of this class of new methods when the Jacobi matrix of the involved nonlinear mapping at the solution point of the nonlinear complementarity problem is an H-matrix. (C) 1998 Elsevier Science B.V. All rights reserved.
Keywordnonlinear complementarity problem nonlinear multisplitting relaxation method local convergence asynchronous iteration
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000075112100003
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/13443
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
2.Univ Oxford, Oxford OX1 3QD, England
Recommended Citation
GB/T 7714
Bai, ZZ. A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1998,93(1):35-44.
APA Bai, ZZ.(1998).A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,93(1),35-44.
MLA Bai, ZZ."A class of asynchronous parallel nonlinear accelerated overrelaxation methods for the nonlinear complementarity problems".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 93.1(1998):35-44.
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