On an one‐step modification of Gauss‐Newton method under generalized Lipschitz conditions for solving the nonlinear least squares problem

Abstract

We investigate convergence of the one-step modification of Gauss-Newton method using the divided differences and the weak generalized Lipschitz condition for the divided differences. Convergence order of the method was examined and the uniqueness ball for the solution of the nonlinear least squares problem was proved. Numerical experiments were also provided.