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Matrix convex verbatim enumeration functions are graphical
Preprint   Open access

Matrix convex verbatim enumeration functions are graphical

J. E Pascoe and Ryan Tully-Doyle
12 Jan 2024
url
https://arxiv.org/abs/2401.06932View
Preprint (Author's original)arXiv.org - Non-exclusive license to distribute Open

Abstract

Mathematics - Combinatorics Mathematics - Functional Analysis
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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