Frequency-limited balanced truncation with low-rank approximations / Peter Benner, Patrick Kürschner, Jens Saak
Loading...
Download556.4 KB
Frequency-limited balanced truncation with low-rank approximations
Discovery
87091765X
URN
urn:nbn:de:gbv:3:2-64752
DOI
ISBN
ISSN
Koordinaten
Skalierung
dc.contributor.contributor
Other contributor
Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, July 8, 2015
Content
1 Online-Ressource (36 Seiten = 0,54 MB) : Diagramme
Edition
Language
eng
Comment
Abstract
Abstract: In this article we investigate model order reduction of large-scale systems using frequency-limited balanced truncation, which restricts the well known balanced truncation framework to prescribed frequency regions. The main emphasis is put on the efficient numerical realization of this model reduction approach. We discuss numerical methods to take care of the involved matrix-valued functions. The occurring large-scale Lyapunov equations are solved for low-rank approximations for which we also establish results regarding the eigenvalues of their solutions. These results, and also numerical experiments, will show that eigenvalues of the Lyapunov solutions in frequency-limited balanced truncation are often smaller than those in standard balanced truncation. Moreover, we show in further numerical examples that frequency-limited balanced truncation generates reduced order models which are significantly more accurate in the considered frequency region.
Series
Max Planck Institute Magdeburg Preprints ; 15-09 ppn:870173030