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Convergent spectral inclusion sets for banded matrices
Citation Link: https://doi.org/10.15480/882.9501
Publikationstyp
Journal Article
Date Issued
2023-12
Sprache
English
TORE-DOI
Volume
23
Issue
4
Article Number
202300016
Citation
Proceedings in applied mathematics and mechanics 23 (4): e202300016 (2023-12)
Publisher DOI
Publisher
Wiley-VCH
We obtain sequences of inclusion sets for the spectrum, essential spectrum, and pseudospectrum of banded, in general non-normal, matrices of finite or infinite size. Each inclusion set is the union of the pseudospectra of certain submatrices of a chosen size n. Via the choice of n, one can balance accuracy of approximation against computational cost, and we show, in the case of infinite matrices, convergence as as 𝑛 →∞ of the respective inclusion set to the corresponding spectral set.
DDC Class
510: Mathematics
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Type
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