Gershgorin type sets for eigenvalues of matrix polynomials

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Published: Feb 21, 2018
DOI: https://doi.org/10.13001/1081-3810.3763
Keywords:
eigenvalue matrix polynomial the Gershgorin set the generalized Gershgorin set the Brauer set the Dashnic-Zusmanovich set

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Christina Michailidou
National Technical University of Athens
Panayiotis Psarrakos
National Technical University of Athens

Abstract

New localization results for polynomial eigenvalue problems are obtained, by extending the notions of the Gershgorin set, the generalized Gershgorin set, the Brauer set and the Dashnic-Zusmanovich set to the case of matrix polynomials.

Article Details

Issue
Vol. 34 (2018)
Section
Article