Componentwise Products of Totally Non-Negative Matrices Generated by Functions in the Laguerre–Pólya Class

DOI10.1007/978-3-319-49984-0_11zbMath1401.26028OpenAlexW2591900399MaRDI QIDQ4554526

Prashant Batra

Publication date: 14 November 2018

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-49984-0_11

zbMATH Keywords

totally positive matricesinfinite matricesSchur-Hadamard productHurwitz-stabilitypositive pairsaperiodic polynomials

Mathematics Subject Classification ID

Minimal systems representations (93B20) Positive matrices and their generalizations; cones of matrices (15B48) Real polynomials: location of zeros (26C10)

Related Items (1)

A Favard type theorem for Hurwitz polynomials

Cites Work

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• Hadamard products of stable polynomials are stable
• Total nonnegativity of infinite Hurwitz matrices of entire and meromorphic functions
• 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
• On the Total Nonnegativity of the Hurwitz Matrix
• On the Generating Functions of Totally Positive Sequences

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