A Global Version of the Newton Method for Finding a Singularity of the Nonsmooth Vector Fields on Riemannian Manifolds
Optimization and Control
2020-06-03 v1
Abstract
This paper is concerned with an algorithm for finding a singularity of the nonsmooth vector fields. Firstly, we discuss the main results of the Newton method presented in [1] for solving the aforementioned problem. Combining this method with a nonmonotone line search strategy, we then propose a global version of the Newton Method. Finally, numerical experiments illustrating the practical advantages of the proposed scheme are reported.
Keywords
Cite
@article{arxiv.2006.01559,
title = {A Global Version of the Newton Method for Finding a Singularity of the Nonsmooth Vector Fields on Riemannian Manifolds},
author = {Fabiana R. de Oliveira and Fabrícia R. Oliveira},
journal= {arXiv preprint arXiv:2006.01559},
year = {2020}
}