Semidefinite Relaxations for Polynomial Optimization in Non-Commutative Operator Variables

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18146066
Cited by: 0

Abstract

We establish a convergent hierarchy of semidefinite relaxations for minimizing non-commutative polynomials over Archimedean semi-algebraic sets via GNS reconstruction of flat moment matrices.

Fields of Study & Subjects

Advanced Optimization Algorithms Research Stochastic Gradient Optimization Techniques Optimization and Variational Analysis

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026