Cross-Gramian-Based Model Reduction: A Comparison
Himpe C, Ohlberger M
Research article (book contribution) | Peer reviewedAbstract
As an alternative to the popular balanced truncation method, the cross Gramian matrix induces a class of balancing model reduction techniques. Besides the classical computation of the cross Gramian by a Sylvester matrix equation, an empirical cross Gramian can be computed based on simulated trajectories. This work assesses the cross Gramian and its empirical Gramian variant for state-space reduction on a procedural benchmark based on the cross Gramian itself.
Details about the publication
Publisher: Benner P, Ohlberger M, Patera A, Rozza G, Urban K
Book title: Model Reduction of Parametrized Systems
Page range: 271-283
Publishing company: Springer International Publishing
Place of publication: Cham
Title of series: MS&A (Modeling, Simulation and Applications)
Volume of series: 17
Status: Published
Release year: 2017
Language in which the publication is written: English
ISBN: 978-3-319-58785-1
Keywords: Model Reduction; Model Order Reduction; Empirical Gramians; Cross Gramian; Empirical Cross Gramian
Authors from the University of Münster
| Himpe, Christian | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) Center for Nonlinear Science |
| Ohlberger, Mario | Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger) Center for Nonlinear Science Center for Multiscale Theory and Computation |