TY - JOUR
T1 - On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem
AU - Botta, V.
AU - Meneguette, M.
AU - Cuminato, J. A.
AU - McKee, S.
N1 - added references and pdf file
PY - 2012/1/15
Y1 - 2012/1/15
N2 - 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).
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).
KW - multistep multiderivative methods
KW - perturbed polynomials
KW - Enestrom-Kakeya theorem
KW - Jeltsch conjecture
UR - http://www.scopus.com/inward/record.url?scp=80052176606&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2011.07.037
DO - 10.1016/j.jmaa.2011.07.037
M3 - Article
VL - 385
SP - 1151
EP - 1161
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -