Showing math.OCShow all
2 papers · 1 filter
math.OC2021
Semidefinite Relaxations of Products of Nonnegative Forms on the Sphere
Chenyang Yuan, Pablo A. Parrilo
We study the problem of maximizing the geometric mean of low-degree non-negative forms on the real or complex sphere in variables. We show that this highly non-convex probl…
math.OC2020
Maximizing Products of Linear Forms, and The Permanent of Positive Semidefinite Matrices
Chenyang Yuan, Pablo A. Parrilo
We study the convex relaxation of a polynomial optimization problem, maximizing a product of linear forms over the complex sphere. We show that this convex program is also a relaxa…