Spectral theory
Spectral and perturbation theory of linear operators and operator pencils, including applications to differential operators and indefinite inner-product spaces.
Research combines operator theory, numerical linear algebra, and control theory. A recurring theme is the spectral analysis of operators and pencils, and the way that spectral information can be turned into stable numerical algorithms and control-design methods.
Spectral and perturbation theory of linear operators and operator pencils, including applications to differential operators and indefinite inner-product spaces.
Lyapunov equations, rational Krylov methods, and the optimization of damped vibrational systems.
Robust control, control of partial differential equations, and large-scale interconnected dynamical systems.
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