Hurwitz多项式Hadamard可分解性的简单必要条件

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2021-10-27 DOI:10.13001/ela.2021.5957

S. Bialas, M. Góra

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引用次数: 0

摘要

本文主要研究Hurwitz多项式的Hadamard因子分解问题。我们给出了阶为$n\geq4$的Hurwitz稳定多项式的Hadamard可分解性的一个新的必要条件，并证明了对于$n=4$，这个条件也是充分的。在构造不可Hadamard因子分解的稳定多项式的例子时，说明了结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Simple necessary conditions for Hadamard factorizability of Hurwitz polynomials

In this paper, we focus the attention on the Hadamard factorization problem for Hurwitz polynomials. We give a new necessary condition for Hadamard factorizability of Hurwitz stable polynomials of degree $n\geq 4$ and show that for $n= 4$ this condition is also sufficient. The effectiveness of the result is illustrated during construction of examples of stable polynomials that are not Hadamard factorizable.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.