Publication result detail

On a generalization of the Levin-May Theorem

ČERMÁK, J.; JÁNSKÝ, J.

Original Title

On a generalization of the Levin-May Theorem

English Title

On a generalization of the Levin-May Theorem

Type

WoS Article

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.

English 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

Key words in English

Higher order linear difference equation; characteristic polynomial; zero distribution; asymptotic stability

Authors

ČERMÁK, J.; JÁNSKÝ, J.

RIV year

2015

Released

15.03.2014

ISBN

1584-2851

Periodical

Carpathian Journal of Mathematics

Volume

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"
}