Annular Bounds for the Zeros of a Polynomial

Annular Bounds for the Zeros of a Polynomial

The problem of obtaining the smallest possible region containing all the zeros of a polynomial has been attracting more and more attention recently, and in this paper, we obtain several results providing the annular regions that contain all the zeros of a complex polynomial. Using MATLAB, we constru...

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Main Authors: Le Gao, N. K. Govil
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2018/6047387
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spelling doaj-5c402632421c4a6f849a68d9ab44e57d2020-11-24T22:27:30ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/60473876047387Annular Bounds for the Zeros of a PolynomialLe Gao0N. K. Govil1Department of Mechanical Engineering, Auburn University, Auburn, AL 36849, USADepartment of Mathematics and Statistics, Auburn University, Auburn, AL 36849, USAThe problem of obtaining the smallest possible region containing all the zeros of a polynomial has been attracting more and more attention recently, and in this paper, we obtain several results providing the annular regions that contain all the zeros of a complex polynomial. Using MATLAB, we construct specific examples of polynomials and show that for these polynomials our results give sharper regions than those obtainable from some of the known results.http://dx.doi.org/10.1155/2018/6047387
collection DOAJ
language English
format Article
sources DOAJ
author Le Gao
N. K. Govil
spellingShingle Le Gao
N. K. Govil
Annular Bounds for the Zeros of a Polynomial
International Journal of Mathematics and Mathematical Sciences
author_facet Le Gao
N. K. Govil
author_sort Le Gao
title Annular Bounds for the Zeros of a Polynomial
title_short Annular Bounds for the Zeros of a Polynomial
title_full Annular Bounds for the Zeros of a Polynomial
title_fullStr Annular Bounds for the Zeros of a Polynomial
title_full_unstemmed Annular Bounds for the Zeros of a Polynomial
title_sort annular bounds for the zeros of a polynomial
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2018-01-01
description The problem of obtaining the smallest possible region containing all the zeros of a polynomial has been attracting more and more attention recently, and in this paper, we obtain several results providing the annular regions that contain all the zeros of a complex polynomial. Using MATLAB, we construct specific examples of polynomials and show that for these polynomials our results give sharper regions than those obtainable from some of the known results.
url http://dx.doi.org/10.1155/2018/6047387
work_keys_str_mv AT legao annularboundsforthezerosofapolynomial
AT nkgovil annularboundsforthezerosofapolynomial
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