3 papers
math.OC2026
A subdifferential characterization via Busemann functions and applications to DC optimization on Hadamard manifolds
O. P. Ferreira, D. S. Gonçalves, M. S. Louzeiro +2
This paper investigates the properties of Busemann functions on Hadamard manifolds and their use in optimization algorithms in Riemannian settings. We present a new Busemann-based…
math.OC2025
A Cubic Regularization Method for Multiobjective Optimization
Douglas S. Gonçalves, Max L. N. Gonçalves, Jefferson G. Melo
This work introduces a new cubic regularization method for nonconvex unconstrained multiobjective optimization problems. At each iteration of the method, a model associated with th…
math.OC2019
Levenberg-Marquardt methods with inexact projections for constrained nonlinear systems
Douglas S. Gonçalves, Max L. N. Gonçalves, Fabrícia R. Oliveira
In this paper, we first propose a new Levenberg-Marquardt method for solving constrained (and not necessarily square) nonlinear systems. Basically, the method combines the unconstr…