Cara D. Brooks

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math.FA2020

Polynomially Isometric Matrices in Low Dimensions

Cara D. Brooks, Alberto A. Condori, Nicholas Seguin

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 ca…

math.FA2017

A Resolvent Criterion for Normality

Cara D. Brooks, Alberto A. Condori

Given a normal matrix $A$ and an arbitrary square matrix $B$ (not necessarily of the same size), what relationships between $A$ and $B$ , if any, guarantee that $B$ is also a normal…