A derivative free iterative method for solving least squares problems
This paper analyses a derivative-free solution approach for nonlinear least squares problems. For this purpose, the step computation is based on the Kurchatov operator. The authors prove quadratic local convergence of the method using standard assumptions. Furthermore, they made several comments on the convergence result stated in a previous paper by Shakhno and Gnatyshyn. A numerical study is presented for one parameter dependent nonlinear least squares problem. This contains also a comparison with a secant method.
scientific article; zbMATH DE number 5988287
scientific article