324 citations · 1.3k across the 70 of their papers we have counts for
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Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach
Michael C. Brennan, Mark Embree, Serkan Gugercin
Contour integral methods for nonlinear eigenvalue problems seek to compute a subset of the spectrum in a bounded region of the complex plane. We briefly survey this class of algori…
On the balanced truncation error bound and sign parameters from arrowhead realizations
Sean Reiter, Tobias Damm, Mark Embree +1
Balanced truncation and singular perturbation approximation for linear dynamical systems yield reduced-order models that satisfy a well-known error bound involving the Hankel singu…
Structure-Preserving Interpolation for Model Reduction of Parametric Bilinear Systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we present an interpolation framework for structure-preserving model order reduction of parametric bilinear dynamical systems. We introduce a general setting, coveri…
Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion
Selin Aslan, Eric de Sturler, Serkan Gugercin
Nonlinear parametric inverse problems appear in many applications. Here, we focus on diffuse optical tomography (DOT) in medical imaging to recover unknown images of interest, such…
The AAA framework for modeling linear dynamical systems with quadratic output
Ion Victor Gosea, Serkan Gugercin
We consider linear dynamical systems with quadratic output. We first define the two transfer functions, a single-variable and a multivariate one, that fully describe the dynamics o…
Structure-Preserving Interpolation of Bilinear Control Systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
In this paper, we extend the structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specific…