Hoffman-Wielandt type inequality for block companion matrices of certain matrix polynomials

DOI10.1007/s43036-023-00292-8zbMath1530.15013arXiv2208.10149OpenAlexW4386608832MaRDI QIDQ6064604

Sachindranath Jayaraman, Shrinath Hadimani, Pallavi Basavaraju

Publication date: 12 December 2023

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.10149

zbMATH Keywords

matrix polynomialseigenvalue boundsdiagonalizabilitystochastic coefficientsHoffman-Wielandt-type inequality

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Stochastic matrices (15B51) Matrix pencils (15A22) Diagonalization, Jordan forms (15A20)

Cites Work

• Unnamed Item
• Theorems of the Hoffman-Wielandt type for the coneigenvalues of complex matrices
• The Hoffman-Wielandt inequality in infinite dimensions
• Matrix Vieta theorem revisited
• Bounds for eigenvalues of matrix polynomials
• Singular values, doubly stochastic matrices, and applications
• A note on the Hoffman-Wielandt theorem
• Spectral Bounds for Matrix Polynomials with Unitary Coefficients
• Perturbation Bounds for Matrix Eigenvalues
• On Wielandt-Mirsky's conjecture for matrix polynomials
• Matrix Polynomials

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