2 papers
math.OC2018
Inexact Newton method with feasible inexact projections for solving constrained smooth and nonsmooth equations
Fabiana R. de Oliveira, Orizon P. Ferreira
In this paper, we propose a new method that combines the inexact Newton method with a procedure to obtain a feasible inexact projection for solving constrained smooth and nonsmooth…
math.OC2018
Newton method for finding a singularity of a special class of locally Lipschitz continuous vector fields on Riemannian manifolds
Fabiana R. de Oliveira, Orizon P. Ferreira
In this paper, we extend some results of nonsmooth analysis from Euclidean context to the Riemannian setting. In particular, we discuss the concept and some properties of locally L…