Gershgorin type sets for eigenvalues of matrix polynomials

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.

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Veröffentlicht in:The Electronic journal of linear algebra 2018-12, Vol.34, p.652-674
Hauptverfasser: Michailidou, Christina, Psarrakos, Panayiotis
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1081-3810
1081-3810
DOI:10.13001/1081-3810.3763