8 citations · 29 across the 50 of their papers we have counts for
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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…
How to project onto extended second order cones
O. P. Ferreira, S. Z. Németh
The extended second order cones were introduced by S. Z. Németh and G. Zhang in [S. Z. Németh and G. Zhang. Extended Lorentz cones and variational inequalities on cylinders. J. Opt…
Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds
G. C. Bento, O. P. Ferreira, J. G. Melo
This paper considers optimization problems on Riemannian manifolds and analyzes iteration-complexity for gradient and subgradient methods on manifolds with non-negative curvature.…
Kantorovich's theorem on Newton's method for solving strongly regular generalized equation
O. P. Ferreira, G. N. Silva
In this paper we consider the Newton's method for solving the generalized equation of the form where is a continuously differentiable mapping, …
Local convergence analysis of Newton's method for solving strongly regular generalized equations
O. P. Ferreira, G. N. Silva
In this paper we study Newton's method for solving generalized equations in Banach spaces. We show that under strong regularity of the generalized equation, the method is locally c…