Argyros, I.K.George, S.2026-02-042024Journal of Numerical Analysis and Approximation Theory, 2024, 53, 1, pp. 158-16824576794https://doi.org/10.33993/jnaat531-1165https://idr.nitk.ac.in/handle/123456789/21018The aim of this paper is to extend the applicability of a two-step Gauss-Newton-Werner-type method (TGNWTM) for solving nonlinear least squares problems. The radius of convergence, error bounds and the information on the location of the solution are improved under the same information as in earlier studies. Numerical examples further validate the theoretical results. © 2024, Publishing House of the Romanian Academy. All rights reserved.average Lipschitz conditionGauss-Newton methodleast squares problemlocal convergenceWerner’s method