324 citations · 1.3k across the 70 of their papers we have counts for
5 papers · 2 filters
Generalizations of data-driven balancing: What to sample for different balancing-based reduced models
Sean Reiter, Ion Victor Gosea, Serkan Gugercin
The quadrature-based balanced truncation (QuadBT) framework of arXiv:2104.01006 is a non-intrusive reformulation of balanced truncation (BT), a classical projection-based model-ord…
IRKA is a Riemannian Gradient Descent Method
Petar Mlinarić, Christopher A. Beattie, Zlatko Drmač +1
The iterative rational Krylov algorithm (IRKA) is a commonly used fixed-point iteration developed to minimize the model order reduction error. In this work, IRKA is…
Interpolatory -optimality Conditions for Structured Linear Time-invariant Systems
Petar Mlinarić, Peter Benner, Serkan Gugercin
Interpolatory necessary optimality conditions for -optimal reduced-order modeling of unstructured linear time-invariant (LTI) systems are well-known. Based on previo…
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
High-dimensional/high-fidelity nonlinear dynamical systems appear naturally when the goal is to accurately model real-world phenomena. Many physical properties are thereby encoded…
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
Ion Victor Gosea, Serkan Gugercin, Steffen W. R. Werner
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying rational transfer function. In this wo…