Local convergence analysis of inexact Newton-like methods under majorant condition
Numerical Analysis
2008-07-25 v1 Optimization and Control
Abstract
We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations under majorant conditions. This analysis provides an estimate of the convergence radius and a clear relationship between the majorant function, which relaxes the Lipschitz continuity of the derivative, and the nonlinear operator under consideration. It also allow us to obtain some important special cases
Keywords
Cite
@article{arxiv.0807.3903,
title = {Local convergence analysis of inexact Newton-like methods under majorant condition},
author = {O. P. Ferreira and M. L. N. Goncalves},
journal= {arXiv preprint arXiv:0807.3903},
year = {2008}
}