Аналіз конвергенції двоетапного методу для нелінійної задачі найменших квадратів з розкладанням оператора.
In this article, we propose a two-step method for the nonlinear least squares problem with the decomposition of the operator. We investigate the convergence of this method under the classical Lipschitz condition for the rst- and second-order derivatives of the dierentiable part and for the rstorder divided dierences of the non-dierentiable part of the decomposition. The convergence order as well as the convergence radius of the method are studied and the uniqueness ball of the solution of the nonlinear least squares
problem is examined. Finally, we carry out numerical experiments on a set of test problems.
