Abstract
We give several new upper bounds for the eigenvalues of monic matrix polynomials with commuting coefficients by applying several numerical radius inequalities to the Frobenius companion matrices of these polynomials.
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08 April 2023
The proof of Theorem 2.9 has been placed in correct place
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Bani-Domi, W., Kittaneh, F. & Mustafa, R. Bounds for the Eigenvalues of Matrix Polynomials with Commuting Coefficients. Results Math 78, 78 (2023). https://doi.org/10.1007/s00025-023-01853-2
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DOI: https://doi.org/10.1007/s00025-023-01853-2