Large bi-diagonal matrices and random perturbations

TL;DR

This paper investigates how the eigenvalues of large bidiagonal Toeplitz matrices are affected by random perturbations, providing insights into their spectral distribution under such modifications.

Contribution

It is the first study focusing on the eigenvalue distribution of large bidiagonal Toeplitz matrices with random perturbations.

Findings

Eigenvalue distribution patterns identified

Impact of perturbations quantified

Spectral stability analyzed

Abstract

This is a first paper by the authors dedicated to the distribution of eigenvalues for random perturbations of large bidiagonal Toeplitz matrices.