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math.OC2021
Noncommutative Polynomial Optimization
Abhishek Bhardwaj, Igor Klep, Victor Magron
In this chapter we present the sums of Hermitian squares approach to noncommutative polynomial optimization problems. This is an extension of the sums of squares approach for polyn…
math.OC2021
The Constant Trace Property in Noncommutative Optimization
Ngoc Hoang Anh Mai, Abhishek Bhardwaj, Victor Magron
In this article, we show that each semidefinite relaxation of a ball-constrained noncommutative polynomial optimization problem can be cast as a semidefinite program with a constan…