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A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations
Bai, ZZ; Evans, DJ; Calinescu, RC
1999-10-30
Source PublicationJOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN0377-0427
Volume110Issue:2Pages:271-286
AbstractFor the block system of weakly nonlinear equations Ax = G(x), where A epsilon R-nxn is a large sparse block matrix and G : R-n --> R-n is a block nonlinear mapping having certain smoothness properties, we present a class of asynchronous parallel multisplitting block two-stage iteration methods in this paper. These methods are actually the block variants and generalizations of the asynchronous multisplitting two-stage iteration methods studied by Bai and Huang (Journal of Computational and Applied Mathematics 93(1) (1998) 13-33), and they can achieve high parallel efficiency of the multiprocessor system, especially, when there is load imbalance. Under quite general conditions that A epsilon R-nxn is a block H-matrix of different types and G : R-n --> R-n is a block P-bounded mapping, we establish convergence theories of these asynchronous multisplitting block two-stage iteration methods.:Numerical computations show that these new methods are very efficient for solving the block system of weakly nonlinear equations in the asynchronous parallel computing environment. (C) 1999 Elsevier Science B.V. All rights reserved.
Keywordblock system of weakly nonlinear equations matrix multisplitting block two-stage iteration asynchronous parallel method block H-matrix convergence theory
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000083264900003
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14160
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.Nottingham Trent Univ, Dept Comp, Nottingham NG1 4BU, England
3.Univ Oxford, Comp Lab, Oxford OX1 3QD, England
Recommended Citation
GB/T 7714
Bai, ZZ,Evans, DJ,Calinescu, RC. A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,1999,110(2):271-286.
APA Bai, ZZ,Evans, DJ,&Calinescu, RC.(1999).A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,110(2),271-286.
MLA Bai, ZZ,et al."A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 110.2(1999):271-286.
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