4 papers
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…
A Relative Inexact Proximal Gradient Method with an Explicit Linesearch
Yunier Bello-Cruz, Max L. N. Gonçalves, Jefferson G. Melo +1
This paper presents and investigates an inexact proximal gradient method for solving composite convex optimization problems characterized by an objective function composed of a sum…
Improved convergence rates for the multiobjective Frank-Wolfe method
Douglas S. Gonçalves, Max L. N. Gonçalves, Jefferson G. Melo
This paper analyzes the convergence rates of the {\it Frank-Wolfe } method for solving convex constrained multiobjective optimization. We establish improved convergence rates under…
A Proximal Gradient Method with an Explicit Line search for Multiobjective Optimization
Yunier Bello-Cruz, J. G. Melo, L. F. Prudente +1
We present a proximal gradient method for solving convex multiobjective optimization problems, where each objective function is the sum of two convex functions, with one assumed to…