Otro
On the zeros of polynomials: An extension of the Enestrom-Kakeya theorem
Registro en:
Journal of Mathematical Analysis and Applications. San Diego: Academic Press Inc. Elsevier B.V., v. 385, n. 2, p. 1151-1161, 2012.
0022-247X
10.1016/j.jmaa.2011.07.037
WOS:000295062600044
Autor
Botta, Vanessa
Meneguette, Messias
Cuminato, Jose A.
McKee, Sean
Resumen
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.