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arXiv · 2102.02162

The Constant Trace Property in Noncommutative Optimization

Ngoc Hoang Anh Mai·Abhishek Bhardwaj·Victor Magron
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Abstract

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 constant trace matrix variable. We then demonstrate how this constant trace property can be exploited via first order numerical methods to solve efficiently the semidefinite relaxations of the noncommutative problem.

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Ngoc Hoang Anh Mai, Abhishek Bhardwaj, Victor Magron. 2021-02-03. The Constant Trace Property in Noncommutative Optimization. https://arxiv.org/abs/2102.02162

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