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math.OC2018★ 1 cited
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…
math.OC2016
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…