Circulants and critical points of polynomials

DOI10.1016/j.jmaa.2016.03.005zbMath1381.30004arXiv1512.07983OpenAlexW2197656624WikidataQ56443736 ScholiaQ56443736MaRDI QIDQ268542

Mikhail Tyaglov, Olga Y. Kushel

Publication date: 15 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07983

zbMATH Keywords

critical pointsmajorizationcirculantsde Bruin and Sharma conjectureSchoenberg conjecturezeroes

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials and rational functions of one complex variable (30C10)

Related Items (3)

On the realizability of the critical points of a realizable List ⋮ Integrability of matrices ⋮ Integrability of diagonalizable matrices and a dual Schoenberg type inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weak log-majorization, Mahler measure and polynomial inequalities
• Relationship between the zeros of two polynomials
• On a Schoenberg-type conjecture
• Differentiators and the geometry of polynomials.
• An analog of the Poincaré separation theorem for normal matrices and the Gauss-Lucas theorem
• A conjecture of Schoenberg
• A companion matrix approach to the study of zeros and critical points of a polynomial
• Borcea’s Variance Conjectures on the Critical Points of Polynomials
• A Conjectured Analogue of Rolle's Theorem for Polynomials with Real or Complex Coefficients
• Imbedding Conditions for Hermitian and Normal Matrices
• Every Normal Toeplitz Matrix is Either of Type I or of Type II
• Normal Toeplitz Matrices
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem

This page was built for publication: Circulants and critical points of polynomials