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

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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

Keywords

multistep multiderivative methods
perturbed polynomials
Enestrom-Kakeya theorem
Jeltsch conjecture

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10.1016/j.jmaa.2011.07.037

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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).",

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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).

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KW - perturbed polynomials

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KW - Jeltsch conjecture

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ER -

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

Abstract

Keywords

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