Improvement of Pellet's theorem for scalar and matrix polynomials

DOI10.1016/j.crma.2016.04.006zbMath1360.12002OpenAlexW2381522735MaRDI QIDQ2630186

Aaron Melman

Publication date: 25 July 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2016.04.006

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) Matrices over function rings in one or more variables (15A54) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Polynomial eigenvalue estimation: numerical radii versus norms ⋮ Matrices whose eigenvalues are those of a quadratic matrix polynomial ⋮ Refinement of Pellet radii for matrix polynomials ⋮ An alternative proof of Pellet’s theorem for matrix polynomials ⋮ Directional bounds for polynomial zeros and eigenvalues

Cites Work

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• Bounds for eigenvalues of matrix polynomials
• Implementation of Pellet's theorem
• Generalization and variations of Pellet's theorem for matrix polynomials
• Locating the Eigenvalues of Matrix Polynomials
• A Generalization of a Theorem of Bôcher

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