A sparse noncommutative Positivstellensatz and sparse GNS extraction are proved, giving converging SDP hierarchies for eigenvalue and trace optimization under a running-intersection sparsity pattern.
An introduction to central simple algebras and their applications to wireless communication , volume 191 of Mathematical Surveys and Monographs
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Sparse Noncommutative Polynomial Optimization
A sparse noncommutative Positivstellensatz and sparse GNS extraction are proved, giving converging SDP hierarchies for eigenvalue and trace optimization under a running-intersection sparsity pattern.