Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices
Numerical Analysis
2019-04-30 v2
Abstract
The sensitivity of eigenvalues of structured matrices under general or structured perturbations of the matrix entries has been thoroughly studied in the literature. Error bounds are available and the pseudospectrum can be computed to gain insight. Few investigations have focused on analyzing the sensitivity of eigenvectors under general or structured perturbations. The present paper discusses this sensitivity for tridiagonal Toeplitz and Toeplitz-type matrices.
Keywords
Cite
@article{arxiv.1808.02230,
title = {Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices},
author = {Silvia Noschese and Lothar Reichel},
journal= {arXiv preprint arXiv:1808.02230},
year = {2019}
}
Comments
21 pages, 4 figures