Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices
Refined Perturbation Bounds for Eigenvalues of Hermitian and Non-Hermitian Matrices
We present eigenvalue bounds for perturbations of Hermitian matrices and express the change in eigenvalues in terms of a projection of the perturbation onto a particular eigenspace, rather than in terms of the full perturbation. The perturbations we consider are Hermitian of rank one, and Hermitian or non-Hermitian with norm …