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

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

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.

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Veröffentlicht in:arXiv.org 2012-05
Hauptverfasser: Bento, G C, J X da Cruz Neto
Format: Artikel
Sprache:eng
Schlagworte:
Goal programming
Minima
Optimization
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Zusammenfassung: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.
ISSN:2331-8422