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Convergent spectral inclusion sets for banded matrices

Chandler-Wilde, S. N., Chonchaiya, R. and Lindner, M. (2023) Convergent spectral inclusion sets for banded matrices. Proceedings in Applied Mathematics and Mechanics. ISSN 1617-7061

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To link to this item DOI: 10.1002/pamm.202300016


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 n → ∞ of the respective inclusion set to the corresponding spectral set.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:113411


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