English

Bilinear matrix inequalities and polynomials in several freely noncommuting variables

Functional Analysis 2023-03-01 v2

Abstract

Matrix-valued polynomials in any finite number of freely noncommuting variables that enjoy certain canonical partial convexity properties are characterized, via an algebraic certificate, in terms of Linear Matrix Inequalities and Bilinear Matrix Inequalities.

Keywords

Cite

@article{arxiv.2209.14580,
  title  = {Bilinear matrix inequalities and polynomials in several freely noncommuting variables},
  author = {Sriram Balasubramanian and Neha Hotwani and Scott McCullough},
  journal= {arXiv preprint arXiv:2209.14580},
  year   = {2023}
}

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R2 v1 2026-06-28T02:20:51.147Z