Argyros, I.K.George, S.2026-02-052016Communications on Applied Nonlinear Analysis, 2016, 23, 1, pp. 56-701074133Xhttps://idr.nitk.ac.in/handle/123456789/26081We 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.Banach spaceInexact Gauss-Newton-likemethodLocal convergenceNonlinear least squares problemsWeak and center-weak Lipschitz conditionWeak Lipschitz condition