6 papers
Global convergence of a BFGS-type algorithm for nonconvex multiobjective optimization problems
L. F. Prudente, D. R. Souza
We propose a modified BFGS algorithm for multiobjective optimization problems with global convergence, even in the absence of convexity assumptions on the objective functions. Furt…
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…
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…
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
Orizon P. Ferreira, Maurício S. Louzeiro, Leandro F. Prudente
The steepest descent method for multiobjective optimization on Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. The aim of the paper is twofol…
Iteration-Complexity of the Subgradient Method on Riemannian Manifolds with Lower Bounded Curvature
O. P. Ferreira, M. S. Louzeiro, L. F. Prudente
The subgradient method for convex optimization problems on complete Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. Iteration-complexity boun…
Gradient Method for Optimization on Riemannian Manifolds with Lower Bounded Curvature
O. P. Ferreira, M. S. Louzeiro, L. F. Prudente
The gradient method for minimize a differentiable convex function on Riemannian manifolds with lower bounded sectional curvature is analyzed in this paper. The analysis of the meth…