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http://idr.nitk.ac.in/jspui/handle/123456789/11919
Title: | Local convergence of inexact Gauss-Newton-like method for least square problems under weak Lipschitz condition |
Authors: | Argyros, I.K. George, S. |
Issue Date: | 2016 |
Citation: | Communications on Applied Nonlinear Analysis, 2016, Vol.23, 1, pp.56-70 |
Abstract: | We present a local convergence analysis of inexact Gauss-Newton-like method for solving nonlinear least-squares problems in a Euclidian space setting. The convergence analysis is based on a combination of a weak Lipschitz and a center-weak Lipschitz condition. Our approach has the following advantages and under the same computational cost as earlier studies such as [5, 6, 7, 15]: A large radius of convergence; more precise estimates on the distances involved to obtain a desired error tolerance. Numerical examples are also presented to show these advantages. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11919 |
Appears in Collections: | 1. Journal Articles |
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