Polynomial eigenvalue estimation: numerical radii versus norms

DOI10.1080/03081087.2021.2003286zbMath1514.15026OpenAlexW3215181356MaRDI QIDQ6039170

Aaron Melman

Publication date: 3 May 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.2003286

zbMATH Keywords

numerical rangeboundsfield of valuesnumerical radiuspolynomial eigenvalue

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Numerical range, numerical radius (47A12)

Related Items (2)

Numerical radius inequalities for operator matrices and applications to the polynomial eigenvalue problem ⋮ Bounds for the eigenvalues of matrix polynomials with commuting coefficients

Cites Work

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• NLEVP
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for Hilbert space operators
• Locating the Eigenvalues of Matrix Polynomials
• A Generalization of a Theorem of Bôcher

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