A goal-oriented dual LRCF-ADI for balanced truncation / Peter Benner, Patrick Kürschner, Jens Saak
Loading...
Download408.69 KB
A goal-oriented dual LRCF-ADI for balanced truncation
Discovery
870314912
URN
urn:nbn:de:gbv:3:2-63924
DOI
ISBN
ISSN
Koordinaten
Skalierung
dc.contributor.contributor
Other contributor
Publication history
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, January 5, 2012
Content
1 Online-Ressource (15 Seiten = 0,39 MB) : Diagramme
Edition
Language
eng
Comment
Abstract
Abstract: In this contribution we propose a novel dual Lyapunov solver that computes low rank factors of the reachability and observability Gramians of a control system simultaneously. This is especially helpful in balanced truncation model order reduction applications, where the singular values of the product of these Gramian factors are the basis of the truncation process. For stopping the dual iteration scheme we therefore propose a tailored stopping criterion aiming at the accurate computation of these singular values.
Series
Max Planck Institute Magdeburg Preprints ; 12-01 ppn:870173030