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Matrix convex verbatim enumeration functions are graphical
J. E. Pascoe, Ryan Tully-Doyle · 2024-01-13 · via math.CO updates on arXiv.org

We give a relation between verbatim generating functions of what we call Pythagorean languages and matrix convexity. Namely, several multivariate matrix convex functions occurring in the existing matrix analysis literature arise naturally in a combinatorial way. We give a Gelfand type formula for the numerical radius.

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