3 papers
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.NA2025
On the regularization property of Levenberg-Marquardt method with Singular Scaling for nonlinear inverse problems
Rafaela Filippozzi, Everton Boos, Douglas S. Gonçalves +1
Recently, in Applied Mathematics and Computation 474 (2024) 128688, a Levenberg-Marquardt method (LMM) with Singular Scaling was analyzed and successfully applied in parameter esti…
math.OC2024
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…