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arXiv · 2209.14580

Bilinear matrix inequalities and polynomials in several freely noncommuting variables

Sriram Balasubramanian·Neha Hotwani·Scott McCullough
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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.

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Sriram Balasubramanian, Neha Hotwani, Scott McCullough. 2022-09-29. Bilinear matrix inequalities and polynomials in several freely noncommuting variables. https://arxiv.org/abs/2209.14580

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