Botta, Vanessa [UNESP]Meneguette Júnior, Messias [UNESP]Cuminato, Jose A.McKee, Sean2014-05-202014-05-202012-01-15Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 385, n. 2, p. 1151-1161, 2012.0022-247Xhttp://hdl.handle.net/11449/7114This 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.1151-1161engEnestrom-Kakeya theoremZeros of perturbed polynomialsStability of Brown (K, L) methodsJeltsch conjectureArtigo10.1016/j.jmaa.2011.07.037WOS:000295062600044Acesso restrito1531018187057108