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. This paper discusses this sensitivity for tridiagonal Toeplitz and Toeplitz-type matrices.
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices / Noschese, Silvia; Reichel, Lothar. - In: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS. - ISSN 1070-5325. - 26:3(2019), pp. 1-20. [10.1002/nla.2232]
Eigenvector sensitivity under general and structured perturbations of tridiagonal Toeplitz-type matrices
Noschese, Silvia;
2019
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. This paper discusses this sensitivity for tridiagonal Toeplitz and Toeplitz-type matrices.| File | Dimensione | Formato | |
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