- PII
- S3034533S0044466925070011-1
- DOI
- 10.7868/S303453325070011
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 65 / Issue number 7
- Pages
- 1060-1076
- Abstract
- For large non-Hermitian banded Toeplitz matrices, it is well known that their eigenvalues cluster along a limiting set, which is formed by a finite union of closed analytic arcs. We consider general non-Hermitian banded Toeplitz matrices and extend the simple-loop method to obtain individual asymptotic expansions for eigenvalues approaching simple and non-degenerate points of the limiting set as the matrix order increases to infinity. We also develop an algorithm to effectively compute these expansions.
- Keywords
- матрица Тёплица асимптотическое разложение собственные значения метод простых петель
- Date of publication
- 15.04.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 16
References
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