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math.NA2023
Inexact Newton Methods for Solving Generalized Equations on Riemannian Manifolds
Mauricio S. Louzeiro, Gilson N. Silva, Jinyun Yuan +1
The convergence of inexact Newton methods is studied for solving generalized equations on Riemannian manifolds by using the metric regularity property, which is also explored. Unde…
math.NA2016
Local convergence of Newton's method for solving generalized equations with monotone operator
Gilson N. Silva
In this paper we study Newton's method for solving the generalized equation in Hilbert spaces, where is a Fréchet differentiable function and is set-valued…
math.NA2016
On the Kantorovich's theorem for Newton's method for solving generalized equations under the majorant condition
Gilson N. Silva
In this paper we consider a version of the Kantorovich's theorem for solving the generalized equation , where is a Fréchet derivative function and is a set-…