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On the convergence of the multisplitting methods for the linear complementarity problem
Bai, ZZ
1999-10-27
Source PublicationSIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
ISSN0895-4798
Volume21Issue:1Pages:67-78
AbstractThe convergence properties of a variant of the multisplitting methods for solving the large sparse linear complementarity problems presented by Machida, Fukushima, and Ibaraki [J. Comput. Appl. Math., 62 (1995), pp. 217-227] are further discussed when the system matrices are nonsymmetric and the weighting matrices are nonnegative and diagonal. This directly results in several novel sufficient conditions for guaranteeing the convergence of these multisplitting methods. Moreover, some applicable parallel multisplitting relaxation methods and their corresponding convergence properties are discussed in detail.
Keywordlinear complementarity problem matrix multisplitting relaxed method convergence
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000083320600004
PublisherSIAM PUBLICATIONS
Citation statistics
Cited Times:107[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14214
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Bai, ZZ. On the convergence of the multisplitting methods for the linear complementarity problem[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS,1999,21(1):67-78.
APA Bai, ZZ.(1999).On the convergence of the multisplitting methods for the linear complementarity problem.SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS,21(1),67-78.
MLA Bai, ZZ."On the convergence of the multisplitting methods for the linear complementarity problem".SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 21.1(1999):67-78.
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