71 citations · 71 across the 1 of their papers we have counts for
4 papers
Multipoint Volterra Series Interpolation and H2 Optimal Model Reduction of Bilinear Systems
Garret Flagg, Serkan Gugercin
In this paper, we focus on model reduction of large-scale bilinear systems. The main contributions are threefold. First, we introduce a new framework for interpolatory model reduct…
On the ADI method for the Sylvester Equation and the optimal- points
Garret M. Flagg, Serkan Gugercin
The ADI iteration is closely related to the rational Krylov projection methods for constructing low rank approximations to the solution of Sylvester equation. In this paper we show…
Convergence of the Iterative Rational Krylov Algorithm
Garret Flagg, Christopher Beattie, Serkan Gugercin
The Iterative Rational Krylov Algorithm (IRKA) of [8] is an interpolatory model reduction approach to the optimal approximation problem. Even though the method has…
Interpolatory H-infinity Model Reduction
Garret Flagg, Christopher Beattie, Serkan Gugercin
We introduce an interpolation framework for H-infinity model reduction founded on ideas originating in optimal-H2 interpolatory model reduction, realization theory, and complex Che…