The perturbation bounds of generalized eigenvalues of a class of matrix- pairs. (Chinese. English summary) Zbl 0537.15005
Summary: This paper discusses the perturbation of generalized eigenvalues of a class of matrix-pairs (under the name of the generalized normal matrix- pair). By means of the ”distance” in Grassmann manifold, some inequalities corresponding to both Wielandt-Hoffman theorem and Bauer- Fike theorem on the perturbation of eigenvalues of normal matrix are obtained.
MSC:
15A18 | Eigenvalues, singular values, and eigenvectors |
15A42 | Inequalities involving eigenvalues and eigenvectors |