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arXiv · 2006.01559

A Global Version of the Newton Method for Finding a Singularity of the Nonsmooth Vector Fields on Riemannian Manifolds

Fabiana R. de Oliveira·Fabrícia R. Oliveira
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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.

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Fabiana R. de Oliveira, Fabrícia R. Oliveira. 2020-06-02. A Global Version of the Newton Method for Finding a Singularity of the Nonsmooth Vector Fields on Riemannian Manifolds. https://arxiv.org/abs/2006.01559

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