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

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

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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 languageEnglish
Pages (from-to)1151-1161
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Issue number2
Publication statusPublished - 15 Jan 2012



  • multistep multiderivative methods
  • perturbed polynomials
  • Enestrom-Kakeya theorem
  • Jeltsch conjecture

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