A Class of Spectrally Arbitrary Ray Patterns
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@Article{AAM-33-254,
author = {Deng , Jiangwu},
title = {A Class of Spectrally Arbitrary Ray Patterns},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {33},
number = {3},
pages = {254--265},
abstract = {
An $n×n$ ray pattern $A$ is said to be spectrally arbitrary if for every monic $n$th degree polynomial $f(x)$ with coefficients from $\mathbb{C},$ there is a complex matrix in the ray pattern class of $A$ such that its characteristic polynomial is $f(x).$ In this paper, a family ray patterns is proved to be spectrally arbitrary by using Nilpotent-Jacobian method.
}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20609.html} }
TY - JOUR
T1 - A Class of Spectrally Arbitrary Ray Patterns
AU - Deng , Jiangwu
JO - Annals of Applied Mathematics
VL - 3
SP - 254
EP - 265
PY - 2022
DA - 2022/06
SN - 33
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/20609.html
KW - ray pattern, Nilpotent-Jacobian method, spectrally arbitrary.
AB -
An $n×n$ ray pattern $A$ is said to be spectrally arbitrary if for every monic $n$th degree polynomial $f(x)$ with coefficients from $\mathbb{C},$ there is a complex matrix in the ray pattern class of $A$ such that its characteristic polynomial is $f(x).$ In this paper, a family ray patterns is proved to be spectrally arbitrary by using Nilpotent-Jacobian method.
Deng , Jiangwu. (2022). A Class of Spectrally Arbitrary Ray Patterns.
Annals of Applied Mathematics. 33 (3).
254-265.
doi:
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