18 papers
Newton's Method with GeoGebra
Orizon P. Ferreira, Davi A. Pires
In this work, we present a program in the computational environment, GeoGebra, that enables a graphical study of Newton's Method. Using this computational device, we will analyze N…
On the inexact scaled gradient projection method
Orizon P. Ferreira, Max V. Lemes, Leandro F. Prudente
The purpose of this paper is to present an inexact version of the scaled gradient projection method on a convex set, which is inexact in two sense. First, an inexact projection on…
Boosted scaled subgradient method for DC programming
Orizon P. Ferreira, Elianderson M. Santos, João Carlos O. Souza
The purpose of this paper is to present a boosted scaled subgradient-type method (BSSM) to minimize the difference of two convex functions (DC functions), where the first function…
An inexact proximal point method for variational inequality on Hadamard manifolds
G. C. Bento, O. P. Ferreira, E. A. Papa Quiroz
In this paper we present an inexact proximal point method for variational inequality problem on Hadamard manifolds and study its convergence properties. The proposed algorithm is i…
Inexact gradient projection method with relative error tolerance
Ademir A. Aguiar, Orizon P. Ferreira, Leandro F. Prudente
A gradient projection method with feasible inexact projections is proposed in the present paper. The inexact projection is performed using a relative error tolerance. Asymptotic co…
On the globalization of Riemannian Newton method
Marcio Antonio de Andrade Bortoloti, Teles Araujo Fernandes, Orizon Pereira Ferreira
In the present paper, in order to fnd a singularity of a vector field defined on Riemannian manifolds, we present a new globalization strategy of Newton method and establish its gl…