Location of zeros of polynomials

被引：8
|
作者：
Affane-Aji, Chadia [2 ]
Agarwal, Neha [1 ]
Govil, N. K. [1 ]
机构：
[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
[2] Tuskegee Univ, Dept Math, Tuskegee, AL 36088 USA
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 1-2期
关键词：
Complex polynomials; Location of zeros of polynomials; MATLAB;
D O I：
10.1016/j.mcm.2009.02.001
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we obtain a result concerning the location of zeros of a polynomial p(z) = a(0) + a(1)z + a(2)z(2) + ... + a(n)z(n), where a(i)'s are complex coefficients and z is a complex variable. This result sharpens Cauchy's result, along with some of the other known results which were based on the classical Cauchy's work. Moreover, a MATLAB code is developed to construct polynomials, and compare the bounds obtained by our result with these known results. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：306 / 313
页数：8
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