Convergent spectral inclusion sets for banded matrices

Chandler-Wilde, S. N. ORCID: https://orcid.org/0000-0003-0578-1283, Chonchaiya, R. and Lindner, M. (2023) Convergent spectral inclusion sets for banded matrices. Proceedings in Applied Mathematics and Mechanics. ISSN 1617-7061 doi: 10.1002/pamm.202300016

Abstract/Summary

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
URI	https://reading-clone.eprints-hosting.org/id/eprint/113411
Identification Number/DOI	10.1002/pamm.202300016
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Wiley
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