Local convergence analysis of inexact Gauss-Newton like methods under majorant condition
Optimization and Control
2010-08-12 v1
Abstract
In this paper, we present a local convergence analysis of inexact Gauss-Newton like methods for solving nonlinear least squares problems. Under the hypothesis that the derivative of the function associated with the least square problem satisfies a majorant condition, we obtain that the method is well-defined and converges. Our analysis provides a clear relationship between the majorant function and the function associated with the least square problem. It also allows us to obtain an estimate of convergence ball for inexact Gauss-Newton like methods and some important, special cases.
Keywords
Cite
@article{arxiv.1008.1916,
title = {Local convergence analysis of inexact Gauss-Newton like methods under majorant condition},
author = {O. P. Ferreira and M. L. N. Goncalves and P. R. Oliveira},
journal= {arXiv preprint arXiv:1008.1916},
year = {2010}
}