L∞-norm computation for large-scale descriptor systems using structured iterative eigensolvers / Ryan Lowe, Matthias Voigt
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Discovery
870596365
URN
urn:nbn:de:gbv:3:2-64356
DOI
ISBN
ISSN
Autorin / Autor
Beiträger
Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, October 21, 2013
Umfang
1 Online-Ressource (11 Seiten = 0,21 MB) : Diagramme
Ausgabevermerk
Sprache
eng
Anmerkungen
Inhaltliche Zusammenfassung
Abstract: In this report, we implement a method of computing L∞-norms for descriptor systems using structured iterative eigensolvers. In particular, the algorithm computes some desired imaginary eigenvalues of an even matrix pencil and uses them to determine an upper and lower bound to the L∞-norm. We finally compare our method to a previously developed algorithm using structured pseudospectra. Numerical examples demonstrate the reliability and accuracy of the new method along with a significant drop in the runtime.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 13-20 ppn:870173030