Argyros, I.K.Cho, Y.J.George, S.2020-03-312020-03-312018Carpathian Journal of Mathematics, 2018, Vol.34, 2, pp.135-142https://idr.nitk.ac.in/handle/123456789/11225The aim of this paper is to extend the applicability of the Gauss-Newton s method for solving nonlinear least squares problems using our new idea of restricted convergence domains. The new technique uses tighter Lipschitz functions than in earlier papers leading to a tighter ball convergence analysis. 2018, SINUS Association. All rights reserved.Extended convergence of gauss-newton s method and uniqueness of the solutionArticle