Publication detail
On a generalization of the Levin-May Theorem
ČERMÁK, J. JÁNSKÝ, J.
Original Title
On a generalization of the Levin-May Theorem
Type
journal article in Web of Science
Language
English
Original Abstract
The paper discusses a distribution of the zeros of a special three-term polynomial. This problem is of theoretic as well as practical importance which motivated S.A. Levin and R. May to formulate a necessary and sufficient condition guaranteing the location of all the zeros of this polynomial inside the unit circle. We give a simple alternate proof of their criterion and, as the main result, present a complete list of all possible zero distributions the polynomial with respect to this circle.
Keywords
Higher order linear difference equation; characteristic polynomial; zero distribution; asymptotic stability
Authors
ČERMÁK, J.; JÁNSKÝ, J.
RIV year
2014
Released
15. 3. 2014
ISBN
1584-2851
Periodical
Carpathian Journal of Mathematics
Year of study
30
Number
1
State
Romania
Pages from
55
Pages to
62
Pages count
8
BibTex
@article{BUT101365,
author="Jan {Čermák} and Jiří {Jánský}",
title="On a generalization of the Levin-May Theorem",
journal="Carpathian Journal of Mathematics",
year="2014",
volume="30",
number="1",
pages="55--62",
issn="1584-2851"
}