Argyros, I.K.Cho, Y.J.George, S.2026-02-052018Carpathian Journal of Mathematics, 2018, 34, 2, pp. 135-14215842851https://idr.nitk.ac.in/handle/123456789/25330The 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.Ball convergenceGauss-Newton’s methodLeast squares problemsLipschitz condition