LOCAL CONVERGENCE OF THE GAUSS-NEWTON METHOD FOR INJECTIVE-OVERDETERMINED SYSTEMS

被引：0

作者：

Amat, Sergio ^{[1
]}

Argyros, Ioannis Konstantinos ^{[2
]}

Alberto Magrenan, Angel ^{[3
]}

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estat, Murcia 30203, Spain

[2] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[3] Univ Int La Rioja, Dept TFG TFM, Logrono 26002, La Rioja, Spain

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 05期

关键词：

the Gauss-Newton method; Hilbert spaces; majorant condition; local convergence; radius of convergence; injective-overdetermined systems; SEMILOCAL CONVERGENCE; MAJORANT CONDITION; BANACH-SPACE; PRINCIPLE; EQUATIONS;

D O I：

10.4134/JKMS.2014.51.5.955

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than in earlier studies such us [10, 11, 13, 14, 18]. Special cases and numerical examples are also included in this study.

引用

页码：955 / 970

页数：16

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