Extensions of the Eneström-Kakeya theorem for matrix polynomials

DOI10.1515/spma-2019-0024zbMath1443.12001OpenAlexW2995706542MaRDI QIDQ2302883

Aaron Melman

Publication date: 26 February 2020

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/spma-2019-0024

zbMATH Keywords

matrix polynomialCauchypositive definiteEneström-Kakeyapolynomial eigenvalue

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) Numerical computation of solutions to single equations (65H05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)

Related Items (1)

Extensions of the Eneström-Kakeya theorem for matrix polynomials

Uses Software

• NLEVP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric aspects of Pellet's and related theorems
• Bounds for eigenvalues of matrix polynomials
• Extensions of the Eneström-Kakeya theorem for matrix polynomials
• Generalization and variations of Pellet's theorem for matrix polynomials
• NLEVP
• The Twin of a Theorem by Cauchy
• An EnestrÖm-Kakeya Theorem for Hermitian Polynomial Matrices
• Locating the Eigenvalues of Matrix Polynomials

This page was built for publication: Extensions of the Eneström-Kakeya theorem for matrix polynomials