Weak Sharp Minima and Finite Termination of the Proximal Point Method for Convex Functions on Hadamard Manifolds

G. C. Bento; J. X. da Cruz Neto

Weak Sharp Minima and Finite Termination of the Proximal Point Method for Convex Functions on Hadamard Manifolds

Numerical Analysis 2012-05-23 v1

Authors: G. C. Bento , J. X. da Cruz Neto

Abstract

In this paper we proved that the sequence generated by the proximal point method, associated to a unconstrained optimization problem in the Riemannian context, has finite termination when the objective function has a weak sharp minima on the solution set of the problem.

Keywords

weak sharp minima proximal point method Hadamard manifolds convex functions finite termination

Cite

@article{arxiv.1205.4763,
  title  = {Weak Sharp Minima and Finite Termination of the Proximal Point Method for Convex Functions on Hadamard Manifolds},
  author = {G. C. Bento and J. X. da Cruz Neto},
  journal= {arXiv preprint arXiv:1205.4763},
  year   = {2012}
}

Comments

10 pages. arXiv admin note: text overlap with arXiv:0812.2201

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