On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem

V. Botta; M. Meneguette; J. A. Cuminato; S. McKee

doi:10.1016/j.jmaa.2011.07.037

On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem

V. Botta, M. Meneguette, J. A. Cuminato, S. McKee

Mathematics And Statistics

Research output: Contribution to journal › Article

Abstract

This paper presents an extension of the Eneström–Kakeya theorem concerning the roots of a polynomial that arises from the analysis of the stability of Brown (K,L) methods. The generalization relates to relaxing one of the inequalities on the coefficients of the polynomial. Two results concerning the zeros of polynomials will be proved, one of them providing a partial answer to a conjecture by Meneguette (1994).

Original language	English
Pages (from-to)	1151-1161
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	385
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2011.07.037
Publication status	Published - 15 Jan 2012

Fingerprint

Keywords

multistep multiderivative methods
perturbed polynomials
Enestrom-Kakeya theorem
Jeltsch conjecture

Cite this

Botta, V., Meneguette, M., Cuminato, J. A., & McKee, S. (2012). On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem. Journal of Mathematical Analysis and Applications, 385(2), 1151-1161. https://doi.org/10.1016/j.jmaa.2011.07.037

@article{f0203d2d6b6d4649b67229c9282fb4cc,

title = "On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem",

abstract = "This paper presents an extension of the Enestr{\"o}m–Kakeya theorem concerning the roots of a polynomial that arises from the analysis of the stability of Brown (K,L) methods. The generalization relates to relaxing one of the inequalities on the coefficients of the polynomial. Two results concerning the zeros of polynomials will be proved, one of them providing a partial answer to a conjecture by Meneguette (1994).",

keywords = "multistep multiderivative methods, perturbed polynomials, Enestrom-Kakeya theorem, Jeltsch conjecture",

author = "V. Botta and M. Meneguette and Cuminato, {J. A.} and S. McKee",

note = "added references and pdf file",

year = "2012",

month = "1",

day = "15",

doi = "10.1016/j.jmaa.2011.07.037",

language = "English",

volume = "385",

pages = "1151--1161",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

number = "2",

}

TY - JOUR

T1 - On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem

AU - Botta, V.

AU - Meneguette, M.

AU - Cuminato, J. A.

AU - McKee, S.

N1 - added references and pdf file

PY - 2012/1/15

Y1 - 2012/1/15

N2 - This paper presents an extension of the Eneström–Kakeya theorem concerning the roots of a polynomial that arises from the analysis of the stability of Brown (K,L) methods. The generalization relates to relaxing one of the inequalities on the coefficients of the polynomial. Two results concerning the zeros of polynomials will be proved, one of them providing a partial answer to a conjecture by Meneguette (1994).

AB - This paper presents an extension of the Eneström–Kakeya theorem concerning the roots of a polynomial that arises from the analysis of the stability of Brown (K,L) methods. The generalization relates to relaxing one of the inequalities on the coefficients of the polynomial. Two results concerning the zeros of polynomials will be proved, one of them providing a partial answer to a conjecture by Meneguette (1994).

KW - multistep multiderivative methods

KW - perturbed polynomials

KW - Enestrom-Kakeya theorem

KW - Jeltsch conjecture

UR - http://www.scopus.com/inward/record.url?scp=80052176606&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2011.07.037

DO - 10.1016/j.jmaa.2011.07.037

M3 - Article

VL - 385

SP - 1151

EP - 1161

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

Access to Document

10.1016/j.jmaa.2011.07.037

Link to publication in Scopus