On the zeros of polynomials: An extension of the Enestrom-Kakeya theorem
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Data
2012-01-15
Autores
Botta, Vanessa [UNESP]
Meneguette Júnior, Messias [UNESP]
Cuminato, Jose A.
McKee, Sean
Título da Revista
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Título de Volume
Editor
Academic Press Inc. Elsevier B.V.
Resumo
This paper presents an extension of the Enestrom-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)[6]. (C) 2011 Elsevier B.V. All rights reserved.
Descrição
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Enestrom-Kakeya theorem, Zeros of perturbed polynomials, Stability of Brown (K, L) methods, Jeltsch conjecture
Como citar
Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 385, n. 2, p. 1151-1161, 2012.