Reciprocal polynomials with all zeros on the unit circle

被引：0

作者：

Do Yong Kwon

机构：

[1] Chonnam National University,Department of Mathematics

来源：

Acta Mathematica Hungarica | 2011年 / 131卷

关键词：

reciprocal polynomial; circular interlacing; 30C15;

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暂无

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学科分类号：

摘要：

Let f(x)=adxd+ad−1xd−1+⋅⋅⋅+a0∈ℝ[x] be a reciprocal polynomial of degree d. We prove that if the coefficient vector (ad,ad−1,…,a0) or (ad−1,ad−2,…,a1) is close enough, in the l1-distance, to the constant vector (b,b,…,b)∈ℝd+1 or ℝd−1, then all of its zeros have moduli 1.

引用

页码：285 / 294

页数：9