Hurwitz多项式Hadamard可分解性的简单必要条件

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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