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Spectra of a class of non-self-adjoint matrices

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Davies, E. B. and Levitin, M. orcid id iconORCID: https://orcid.org/0000-0003-0020-3265 (2014) Spectra of a class of non-self-adjoint matrices. Linear Algebra and its Applications, 448. pp. 55-84. ISSN 0024-3795 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.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/35789
Identification Number/DOI 10.1016/j.laa.2014.01.025
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Elsevier
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