Argyros, I.K.George, S.2020-03-312020-03-312017Studia Universitatis Babes-Bolyai Mathematica, 2017, Vol.62, 4, pp.543-558https://idr.nitk.ac.in/handle/123456789/11226new local convergence analysis of the Gauss-Newton method for solving some optimization problems is presented using restricted convergence domains. The results extend the applicability of the Gauss-Newton method under the same computational cost given in earlier studies. In particular, the advantages are: the error estimates on the distances involved are tighter and the convergence ball is at least as large. Moreover, the majorant function in contrast to earlier studies is not necessarily differentiable. Numerical examples are also provided in this study.Article