Work

Quasiseparable LU Decay Bounds for Inverses of Banded Matrices

Year: 2025

Type: article

Abstract: 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.

Source: Numerical Linear Algebra with Applications

DOI: 10.1002/nla.70044

Authors: Paola Boito, Yuli Eidelman

Institutions: University of Pisa, Tel Aviv University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze