Local convergence of a two-step Gauss-Newton Werner-type method for solving least squares problems

Abstract

The aim of this paper is to extend the applicability of a two-step Gauss-Newton-Werner-type method (TGNWTM) for solving nonlinear least squares problems. The radius of convergence, error bounds and the information on the location of the solution are improved under the same information as in earlier studies. Numerical examples further validate the theoretical results.

Keywords

• Gauss-Newton method
• Werner's method
• local convergence
• least squares problem
• average Lipschitz condition