2 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
On Inexact Accelerated Proximal Gradient Methods with Relative Error Rules
Yunier Bello-Cruz, Max L. N. Gonçalves, Nathan Krislock
One of the most popular and important first-order iterations that provides optimal complexity of the classical proximal gradient method (PGM) is the "Fast Iterative Shrinkage/Thres…
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…
Convergence of the Gauss-Newton method for convex composite optimization under a majorant condition
Orizon Perreira Ferreira, Max Leandro Nobre Gonçalves, Paulo Roberto Oliveira
Under the hypothesis that an initial point is a quasi-regular point, we use a majorant condition to present a new semi-local convergence analysis of an extension of the Gauss-Newto…