Dipartimento di Energetica ``Sergio Stecco', via C. Lombroso 6/17, 50134 Firenze, Italia
Abstract:
In this paper we investigate local convergence properties of inexact Newton and Newton-like methods for systems of nonlinear equations. Processes with modified relative residual control are considered, and new sufficient conditions for linear convergence in an arbitrary vector norm are provided. For a special case the results are affine invariant.