ON A SECANT TYPE METHOD FOR NONLINEAR LEAST SQUARES PROBLEMS

In this paper the new Secant type method for nonlinear least squares problems is presented. We study the convergence of the proposed method under hypothesis that the divided differences of first order satisfy the generalized Lipschitz conditions. We obtain the radius of convergence ball, the uniqueness ball of the solution and rate of convergence of the method. Similar results under the generalized Holder conditions are also presented. The results of numerical experiments, that represent the convergence analysis of Secant type method are given.