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On large Toeplitz band matrices with an uncertain block

Abstract:

This report investigates the possible spectra of large, finite dimensional Toeplitz band matrices with perturbations (impurities, uncertainties) in the upper-left m x m block. The main result shows that the asymptotic spectrum of such a matrix is not affected by these perturbations, provided they have sufficiently small norm. This follows from analysis of structured pseudospectra (structured spectral value sets). In contrast, for typical non-Hermitian Toeplitz matrices there exist certain ran...

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A. Boettcher More by this author
Mark Embree More by this author
V. I. Sokolov More by this author
Publication date:
2001-04-05
URN:
uuid:837f76c5-9451-40af-8177-259fcde27d39
Local pid:
oai:eprints.maths.ox.ac.uk:1243

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