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We present a new semi-local convergence analysis of the inexact Gauss- Newton method for solving singular equations. The convergence analysis is based on a combination of a center-majorant, majorant function and restricted convergence domains which are more precise than in the studies using only the majorant function leading to the extension of the applicability of Gauss-Newton method under the same computational cost as in earlier studies such as [5,7,12-43]. In particular, the advantages are: the error estimates on the distances involved are tighter and the convergence ball is at least as large. Numerical examples are also provided in this study.
How to Cite this Article:
Ioannis K. Argyros, Santhosh George, On the convergence of inexact Gauss-Newton method for solving singular equations, Journal of Nonlinear Functional Analysis 2016 (2016), Article ID 1.