1 citations · 1 across the 3 of their papers we have counts for
3 papers
On the globalization of Riemannian Newton method
Marcio Antonio de Andrade Bortoloti, Teles Araujo Fernandes, Orizon Pereira Ferreira
In the present paper, in order to fnd a singularity of a vector field defined on Riemannian manifolds, we present a new globalization strategy of Newton method and establish its gl…
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…
On the superlinear convergence of Newton's method on Riemannian manifolds
Teles A. Fernandes, Orizon P. Ferreira, Yuan J. Yun
In this paper we study the Newton's method for finding a singularity of a differentiable vector field defined on a Riemannian manifold. Under the assumption of invertibility of cov…