Bilinear matrix inequalities and polynomials in several freely noncommuting variables

Published 29 Sep 2022 in math.FA | (2209.14580v2)

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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