Note on roots location of a symmetric polynomial with respect to the imaginary axis

DOI10.1080/03081087.2011.608668zbMath1266.12001OpenAlexW2048762979MaRDI QIDQ2895694

Hui-Feng Hao, Yong-jian Hu, Gong-Ning Chen

Publication date: 4 July 2012

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.608668

zbMATH Keywords

Routh-Hurwitz problemBezoutian matrixinertia of a polynomial

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Cites Work

• Unnamed Item
• Bézoutians and intertwining matrices
• Loewner and Bézout matrices
• Zero location by Hermitian forms: the singular case
• Note on products of Bezoutians and Hankel matrices
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations

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