Self-interlacing polynomials

DOI10.1016/j.laa.2017.08.020zbMath1398.12003arXiv1611.09156OpenAlexW2557569218MaRDI QIDQ2408940

Mikhail Tyaglov

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1611.09156

zbMATH Keywords

Hurwitz matrixstable polynomialshankel determinantsroot location of polynomialsself-interlacing polynomials

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 in real and complex fields: location of zeros (algebraic theorems) (12D10) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10) Toeplitz, Cauchy, and related matrices (15B05) Real rational functions (26C15)

Related Items (3)

A Fractal Eigenvector ⋮ On zero-sector reducing operators ⋮ Hermite-Poulain theorems for linear finite difference operators

Cites Work

• Hermite-Biehler, Routh-Hurwitz, and total positivity
• Total nonnegativity of infinite Hurwitz matrices of entire and meromorphic functions
• The inverse eigenvalue problem for symmetric anti-bidiagonal matrices
• Structured Matrices, Continued Fractions, and Root Localization of Polynomials
• The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
• A Hurwitz Matrix is Totally Positive
• Self-interlacing polynomials II: Matrices with self-interlacing spectrum
• On the Total Nonnegativity of the Hurwitz Matrix
• Sign patterns of the Schwarz matrices and generalized Hurwitz polynomials
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