Proximal Point Method for a Special Class of Nonconvex Functions on Hadamard Manifolds
Optimization and Control
2010-04-14 v6
Abstract
In this paper we present the proximal point method for a special class of nonconvex function on a Hadamard manifold. The well definedness of the sequence generated by the proximal point method is guaranteed. Moreover, it is proved that each accumulation point of this sequence satisfies the necessary optimality conditions and, under additional assumptions, its convergence for a minimizer is obtained.
Cite
@article{arxiv.0809.2594,
title = {Proximal Point Method for a Special Class of Nonconvex Functions on Hadamard Manifolds},
author = {G. C. Bento and O. P. Ferreira and P. R. Oliveira},
journal= {arXiv preprint arXiv:0809.2594},
year = {2010}
}
Comments
37 pages