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Spectra of a class of non-self-adjoint matrices

Davies, E. B. and Levitin, M. (2014) Spectra of a class of non-self-adjoint matrices. Linear Algebra and its Applications, 448. pp. 55-84. ISSN 0024-3795

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To link to this item DOI: 10.1016/j.laa.2014.01.025

Abstract/Summary

We consider a new class of non-self-adjoint matrices that arise from an indefinite self- adjoint linear pencil of matrices, and obtain the spectral asymptotics of the spectra as the size of the matrices diverges to infinity. We prove that the spectrum is qualitatively different when a certain parameter c equals 0, and when it is non-zero, and that certain features of the spectrum depend on Diophantine properties of c.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:35789
Publisher:Elsevier

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