On the Local Convergence of the Gauss–Newton Method

The local convergence of the Gauss–Newton method is studied under a combination of the radius and center–Lipschitz average functions [3], [7], [8]. Using more precise estimates and under the same or less computational cost, we provide an analysis of this method with the following advantages over the corresponding results in [8]: larger convergence ball, and finer error estimates on the distances involved. AMS (MOS) Subject Classification Codes: 65F20, 65G99, 65H10, 49M15