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math.OC2021★ 18 cited
Homogenization for polynomial optimization with unbounded sets
Lei Huang, Jiawang Nie, Ya-Xiang Yuan
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assu…
math.OC2021
Optimality conditions for homogeneous polynomial optimization on the unit sphere
Lei Huang
In this note, we prove that for homogeneous polynomial optimization on the sphere, if the objective is generic in the input space, all feasible points satisfying the first orde…