An Elsner-like perturbation theorem for generalized eigenvalues
| Title | An Elsner-like perturbation theorem for generalized eigenvalues |
| Publication Type | Journal Articles |
| Year of Publication | 2004 |
| Authors | Stewart G.W |
| Journal | Linear Algebra and its Applications |
| Volume | 390 |
| Pagination | 1 - 5 |
| Date Published | 2004/10/01/ |
| ISBN Number | 0024-3795 |
| Keywords | eigenvalue, Elsner’s theorem, Generalized eigenvalue, Perturbation theory |
| Abstract | In 1985 Elsner established a general bound on the distance between an eigenvalue of a matrix and the closest eigenvalue of a perturbation of that matrix. In this note, we show that a similar result holds for the generalized eigenvalue problem. |
| URL | http://www.sciencedirect.com/science/article/pii/S0024379504002459 |
| DOI | 10.1016/j.laa.2004.05.006 |