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 - <p style="text-align: justify;">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.</p>