Polynomially Isometric Matrices in Low Dimensions
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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| Format: | Artikel |
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| Zusammenfassung: | 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. |
|---|---|
| DOI: | 10.48550/arxiv.2003.00169 |