Year: 2017
Author: Jiangwu Deng
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2017-AAM-20609
Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 254–265
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: ray pattern Nilpotent-Jacobian method spectrally arbitrary.