Quasiseparable LU Decay Bounds for Inverses of Banded Matrices
ABSTRACT We develop new, easily computable exponential decay bounds for inverses of banded matrices, based on the quasiseparable representation of Green matrices. The bounds rely on a diagonal dominance hypothesis and do not require explicit spectral information. Numerical experiments and comparisons show that these new bounds can be advantageous, especially for nonsymmetric or symmetric indefinite matrices.
Authors
- Paola Boito (ORCID: https://orcid.org/0000-0002-3559-393X)
- Yuli Eidelman
Institutions
- University of Pisa (IT)
- Tel Aviv University (IL)
- Exact Sciences (United States) (US)
Publication Details
- Journal
- Numerical Linear Algebra with Applications
- Published
- 2025-11-03
- DOI
- https://doi.org/10.1002/nla.70044
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Università di Pisa
- Ministero dell'Università e della Ricerca
- Gruppo Nazionale per il Calcolo Scientifico