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arXiv · 2003.00169

Polynomially Isometric Matrices in Low Dimensions

Cara D. Brooks·Alberto A. Condori·Nicholas Seguin
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Abstract

Given two $d\times d$ matrices, say $A$ and $B$, when do $p(A)$ and $p(B)$ have the same ``size'' for every polynomial $p$? In this article, we provide definitive results in the cases $d=2$ and $d=3$ when the notion of size used is the spectral norm.

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Cara D. Brooks, Alberto A. Condori, Nicholas Seguin. 2020-02-29. Polynomially Isometric Matrices in Low Dimensions. https://arxiv.org/abs/2003.00169

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