Spectra of a class of non-self-adjoint matrices
| Data(s) |
25/02/2014
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|---|---|
| Resumo |
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. |
| Formato |
text video |
| Identificador |
http://centaur.reading.ac.uk/35789/1/davies_levitin_journal_revised.pdf http://centaur.reading.ac.uk/35789/2/frames3e.mp4 Davies, E. B. and Levitin, M. <http://centaur.reading.ac.uk/view/creators/90002805.html> (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 <http://dx.doi.org/10.1016/j.laa.2014.01.025> |
| Idioma(s) |
en en |
| Publicador |
Elsevier |
| Relação |
http://centaur.reading.ac.uk/35789/ creatorInternal Levitin, Michael 10.1016/j.laa.2014.01.025 |
| Tipo |
Article PeerReviewed |
