Lead: Prof. Dr. Peter Benner
We study numerical methods for linear and nonlinear eigenvalue problems. This includes the development and analysis of new algorithms, (backward) error analysis, and the derivation of the associated (relative) perturbation theory. Special attention is given to linear, generalized, and polynomial eigenproblems with spectral symmetries. Moreover, we investigate the solution of special linear systems of equations arising in PDE control and model reduction algorithms.