Botta, V. and Meneguette, M. and Cuminato, J. A. and McKee, S. (2012) *On the zeros of polynomials: an extension of the Enestrom-Kakeya theorem.* Journal of Mathematical Analysis and Applications, 385 (2). pp. 1151-1161. ISSN 0022-247X

Official URL: http://dx.doi.org/10.1016/j.jmaa.2011.07.037

## 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).

Item type: | Article |
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ID code: | 40159 |

Notes: | added references and pdf file |

Keywords: | multistep multiderivative methods, perturbed polynomials, Enestrom-Kakeya theorem, Jeltsch conjecture, Probabilities. Mathematical statistics, Analysis, Applied Mathematics |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Pure Administrator |

Date Deposited: | 21 Jun 2012 16:35 |

Last modified: | 27 Mar 2014 10:11 |

URI: | http://strathprints.strath.ac.uk/id/eprint/40159 |

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