Directional bounds for polynomial zeros and eigenvalues

DOI10.1016/j.jmaa.2019.123571zbMath1430.30002OpenAlexW2979226560MaRDI QIDQ2009285

Aaron Melman

Publication date: 28 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123571

zbMATH Keywords

eigenvaluespolynomialsmatrix polynomials, zeros

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) 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 (1)

Matrices whose eigenvalues are those of a quadratic matrix polynomial

Uses Software

• NLEVP

Cites Work

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• Bounds for eigenvalues of matrix polynomials with applications to scalar polynomials
• The quasi-stationary behavior of quasi-birth-and-death processes
• Bounds for eigenvalues of matrix polynomials
• Improvement of Pellet's theorem for scalar and matrix polynomials
• Generalization and variations of Pellet's theorem for matrix polynomials
• NLEVP
• A note on a classical bound for the moduli of all zeros of a polynomial
• Locating the Eigenvalues of Matrix Polynomials
• A Generalization of a Theorem of Bôcher

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