8 citations · 29 across the 50 of their papers we have counts for
6 papers · 1 filter
Newton method for finding a singularity of a special class of locally Lipschitz continuous vector fields on Riemannian manifolds
Fabiana R. de Oliveira, Orizon P. Ferreira
In this paper, we extend some results of nonsmooth analysis from Euclidean context to the Riemannian setting. In particular, we discuss the concept and some properties of locally L…
Iteration-Complexity of the Subgradient Method on Riemannian Manifolds with Lower Bounded Curvature
O. P. Ferreira, M. S. Louzeiro, L. F. Prudente
The subgradient method for convex optimization problems on complete Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. Iteration-complexity boun…
Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature
O. P. Ferreira, M. S. Louzeiro, L. F. Prudente
The gradient method for minimize a differentiable convex function on Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. The analysis of the meth…
An Extragradient-type Algorithm for Variational Inequality on Hadamard Manifolds
E. E. A. Batista, G. C. Bento, O. P. Ferreira
The aim of this paper is to present an extragradient method for variational inequality associated to a point-to-set vector field in Hadamard manifolds and to study its convergence…
On the spherical quasi-convexity of quadratic functions
O. P. Ferreira, S. Z. Németh, L. Xiao
In this paper the spherical quasi-convexity of quadratic functions on spherically convex sets is studied. Several conditions characterizing the spherical quasi-convexity of quadrat…
Damped Newton's Method on Riemannian Manifolds
M. A. A. Bortoloti, T. A. Fernandes, O. P. Ferreira +1
A damped Newton's method to find a singularity of a vector field in Riemannian setting is presented with global convergence study. It is ensured that the sequence generated by the…