14 citations · 14 across the 3 of their papers we have counts for
3 papers
Convexity and some geometric properties
J. X. Cruz Neto, Ítalo Melo, Paulo Sousa
The main goal of this paper is to present results of existence and non-existence of convex functions on Riemannian manifolds and, in the case of the existence, we associate such fu…
The self regulation problem as an inexact steepest descent method for multicriteria optimization
G. C. Bento, J. X. Cruz Neto, P. R. Oliveira +1
In this paper, we study an inexact steepest descent method, with Armijo's rule, for multicriteria optimization. The sequence generated by the method is guaranteed to be well-define…
Convergence of inexact descent methods for nonconvex optimization on Riemannian manifolds
G. C. Bento, J. X. da Cruz Neto, P. R. Oliveira
In this paper we present an abstract convergence analysis of inexact descent methods in Riemannian context for functions satisfying Kurdyka-Lojasiewicz inequality. In particular, w…