Local convergence results of Gauss–Newton’s like method in weak conditions

In this paper, we study the convergence of Gauss–Newton’s like method for nonlinear least squares problems. Under the hypothesis that derivative satisfies some kind of weak Lipschitz condition, we obtain the sharp estimates of the radii of convergence ball of Gauss–Newton’s like method and the uniqueness ball of the solution. © 2006 Elsevier Inc. All rights reserved.