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Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities

Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities We apply several numerical radius inequalities to the Frobenius companion matrices of monic matrix polynomials to derive new bounds for the eigenvalues of these polynomials. One of our bounds improves upon an earlier bound due to Higham and Tisseur. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Operator Theory Springer Journals

Bounds for the eigenvalues of monic matrix polynomials from numerical radius inequalities

Advances in Operator Theory , Volume 5 (3) – Jul 18, 2020

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References (18)

Publisher
Springer Journals
Copyright
Copyright © Tusi Mathematical Research Group (TMRG) 2020
ISSN
2662-2009
eISSN
2538-225X
DOI
10.1007/s43036-020-00041-1
Publisher site
See Article on Publisher Site

Abstract

We apply several numerical radius inequalities to the Frobenius companion matrices of monic matrix polynomials to derive new bounds for the eigenvalues of these polynomials. One of our bounds improves upon an earlier bound due to Higham and Tisseur.

Journal

Advances in Operator TheorySpringer Journals

Published: Jul 18, 2020

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