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A Class of Spectrally Arbitrary Ray Patterns

A Class of Spectrally Arbitrary Ray Patterns

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 nth degree polynomial f(x) with coefficients from 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.

Author Details

Jiangwu Deng Email