Utopia point method based robust vector polynomial optimization scheme
Optimization and Control
2023-09-25 v1
Abstract
In this paper, we focus on a class of robust vector polynomial optimization problems (RVPOP in short) without any convex assumptions. By combining/improving the utopia point method (a nonlinear scalarization) for vector optimization and "joint+marginal" relaxation method for polynomial optimization, we solve the RVPOP successfully. Both theoratical and computational aspects are considered.
Cite
@article{arxiv.2209.04885,
title = {Utopia point method based robust vector polynomial optimization scheme},
author = {Tianyi Han and Liguo Jiao and Jae Hyoung Lee and Junping Yin},
journal= {arXiv preprint arXiv:2209.04885},
year = {2023}
}