2 papers
math.OC2015
Robust Kantorovich's theorem on Newton's method under majorant condition in Riemannian Manifolds
Tibério Bittencourt, Orizon P. Ferreira
A robust affine invariant version of Kantorovich's theorem on Newton's method, for finding a zero of a differentiable vector field defined on a complete Riemannian manifold, is pre…
math.NA2013
Local convergence analysis of Inexact Newton method with relative residual error tolerance under majorant condition in Riemannian Manifolds
T. Bittencourt, O. P. Ferreira
A local convergence analysis of Inexact Newton's method with relative residual error tolerance for finding a singularity of a differentiable vector field defined on a complete Riem…