324 citations · 1.3k across the 70 of their papers we have counts for
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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…
Nonlinear Parametric Inversion using Interpolatory Model Reduction
Eric de Sturler, Serkan Gugercin, Misha E. Kilmer +3
Nonlinear parametric inverse problems appear in several prominent applications; one such application is Diffuse Optical Tomography (DOT) in medical image reconstruction. Such inver…
Near-optimal Frequency-weighted Interpolatory Model Reduction
Tobias Breiten, Christopher Beattie, Serkan Gugercin
This paper develops an interpolatory framework for weighted- model reduction of MIMO dynamical systems. A new representation of the weighted- inner pr…
Model Reduction of Descriptor Systems by Interpolatory Projection Methods
Serkan Gugercin, Tatjana Stykel, Sarah Wyatt
In this paper, we investigate interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that employing subs…