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arXiv math/0512591math.CAmath.RA
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Hermite-Biehler,Routh-Hurwitz和完全积极性

Hermite-Biehler, Routh-Hurwitz, and total positivity

Olga Holtz

摘要:

给出了Hermite-Biehler定理和Routh-Hurwitz定理的简单证明。一个稳定的实多项式的赫维茨矩阵的完全非负性作为直接推论如下。

英文摘要:

Simple proofs of the Hermite-Biehler and Routh-Hurwitz theorems are presented. The total nonnegativity of the Hurwitz matrix of a stable real polynomial follows as an immediate corollary.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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