Abstract
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 language | English |
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Pages (from-to) | 1151-1161 |
Number of pages | 11 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 385 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Jan 2012 |
Keywords
- multistep multiderivative methods
- perturbed polynomials
- Enestrom-Kakeya theorem
- Jeltsch conjecture