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Polynomially Isometric Matrices in Low Dimensions
Cara D Brooks
,
Alberto A Condori
and
Nicholas Seguin
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The American mathematical monthly, Vol.128(6), pp.513-524
05-22-2021
DOI:
https://doi.org/10.1080/00029890.2021.1898872
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Abstract
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Abstract
Mathematics
Physical Sciences
Science & Technology
Given two d x 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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https://arxiv.org/pdf/2003.00169
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Title
Polynomially Isometric Matrices in Low Dimensions
Creators
Cara D Brooks - Florida Gulf Coast University
Alberto A Condori - Florida Gulf Coast University
Nicholas Seguin - University of Iowa
Publication Details
The American mathematical monthly, Vol.128(6), pp.513-524
Publisher
TAYLOR & FRANCIS INC; PHILADELPHIA
Number of pages
12
Grant note
Seidler Scholarly Collaboration Fellowship Seidler family
Identifiers
99383431846906570
Academic Unit
Department of Mathematics
Language
English
Resource Type
Journal article
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https://arxiv.org/pdf/2003.00169
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