论文标题
基于乌托邦点方法的鲁棒矢量多项式优化方案
Utopia point method based robust vector polynomial optimization scheme
论文作者
论文摘要
在本文中，我们专注于一类强大的矢量多项式优化问题（简而言之RVPOP），而没有任何凸面假设。通过结合/改进矢量优化的乌托邦点法（非线性标量化）和用于多项式优化的“关节+边缘”弛豫方法，我们成功地求解了RVPOP。都考虑了理论和计算方面。
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.
