Convergence and uniqueness properties of Gauss-Newton’s method

doi:10.1016/s0898-1221(04)90086-7

UM > Faculty of Science and Technology

Residential College	false
Status	已發表Published
	Convergence and uniqueness properties of Gauss-Newton’s method
	ChongLi 1; Wen-HongZhang 2; Xiao-QingJin3
	2004-03
Source Publication	COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume	47 Issue:6-7 Pages:1057-1067
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.
DOI	10.1016/s0898-1221(04)90086-7
Indexed By	SCIE
Language	英語English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000221627900020
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Scopus ID	2-s2.0-2542442365
Fulltext Access	View Full-Text via DOI View Full-Text via Web of Science
Citation statistics
Document Type	Journal article
Collection	Faculty of Science and Technology DEPARTMENT OF MATHEMATICS
Affiliation	1.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	ChongLi,Wen-HongZhang,Xiao-QingJin. Convergence and uniqueness properties of Gauss-Newton’s method[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47(6-7), 1057-1067.
APA	ChongLi., Wen-HongZhang., & Xiao-QingJin (2004). Convergence and uniqueness properties of Gauss-Newton’s method. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 47(6-7), 1057-1067.
MLA	ChongLi,et al."Convergence and uniqueness properties of Gauss-Newton’s method".COMPUTERS & MATHEMATICS WITH APPLICATIONS 47.6-7(2004):1057-1067.

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