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Convergence and uniqueness properties of Gauss-Newton's method
Li C.1; Zhang W.-H.2; Jin X.-Q.3
2004
Source PublicationComputers and Mathematics with Applications
ISSN8981221
Volume47Issue:2018-06-07Pages:1057
Abstract

The generalized radius and center Lipschitz conditions with L average are introduced to investigate the convergence of Gauss-Newton's method for finding the nonlinear least squares solution of nonlinear equations. The radii of the convergence ball of Gauss-Newton's method and the uniqueness ball of the solution are estimated. Some applications are given. © 2004 Elsevier Ltd. All rights reserved.

KeywordConvergence Ball Gauss-newton's Method Lipschitz Conditions With l Average Uniqueness Ball
DOI10.1016/S0898-1221(04)90086-7
URLView the original
Indexed BySCIE
Language英語English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000221627900020
The Source to ArticleScopus
Scopus ID2-s2.0-2542442365
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Citation statistics
Document TypeJournal article
CollectionDEPARTMENT OF MATHEMATICS
Affiliation1.Department of Mathematics, Zhejiang University Hangzhou, 310027, P.R. China
2.Department of Applied Mathematics Southeast University, Nanjing, 210096, P.R. China
3.Faculty of Science and Technology University of Macau, Macau, P.R. China
Recommended Citation
GB/T 7714		 Li C.,Zhang W.-H.,Jin X.-Q.. Convergence and uniqueness properties of Gauss-Newton's method[J]. Computers and Mathematics with Applications, 2004, 47(2018-06-07), 1057.
APA Li C.., Zhang W.-H.., & Jin X.-Q. (2004). Convergence and uniqueness properties of Gauss-Newton's method. Computers and Mathematics with Applications, 47(2018-06-07), 1057.
MLA Li C.,et al."Convergence and uniqueness properties of Gauss-Newton's method".Computers and Mathematics with Applications 47.2018-06-07(2004):1057.
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