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Convergence of the generalized AOR method
Yuan J.-Y.1; Jin X.-Q.2
Source PublicationApplied Mathematics and Computation

A generalized AOR (GAOR) method is proposed here to solve the linear system with some special structure. The convergence of the GAOR method is studied. The convergence result obtained here is an extension of the classical convergence result of the regular AOR method with weaker condition. In comparing with the generalized SOR (GSOR) method, we show that the GAOR method is better than the GSOR method under certain conditions. In some cases, the GAOR method is convergent even if the GSOR method does not converge. Finally, the GAOR method is applied to solve the generalized least-squares (LS) problems. Three numerical algorithms for the generalized LS problems are given. 

KeywordComparison Convergence Gaor Method Generalized Ls Problem Gsor Method
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Indexed BySCIE
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000077844200004
The Source to ArticleScopus
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Cited Times [WOS]:28   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
Corresponding AuthorYuan J.-Y.
Affiliation1.Departamento de Matemàtica, Universidade Federal do Paraná, Centro Politécnico, CP 19.081 CEP 81531-990 Curitiba, Brazil
2.Faculty of Science and Technology, University of Macau, Macau, Macau
Recommended Citation
GB/T 7714
Yuan J.-Y.,Jin X.-Q.. Convergence of the generalized AOR method[J]. Applied Mathematics and Computation,1999,99(1):35.
APA Yuan J.-Y.,&Jin X.-Q..(1999).Convergence of the generalized AOR method.Applied Mathematics and Computation,99(1),35.
MLA Yuan J.-Y.,et al."Convergence of the generalized AOR method".Applied Mathematics and Computation 99.1(1999):35.
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