摘要：

In this talk, we derive new relative perturbation bounds for eigenvectors and eigenvalues for regular quadratic Hermitian eigenvalue problems, which are based on new relative perturbation bounds for a regular Hermitian matrix pair. The new bounds can be applied to quadratic eigenvalue problems appearing in many relevant applications, such as mechanical models with indefinite damping. The quality of our bounds is demonstrated by several numerical experiments.

This is a joint work with P. Benner (MPI Magdeburg), S. Miodragović (U Osijek), and N. Truhar (U Osijek).