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L∞-norm computation for large-scale descriptor systems using structured iterative eigensolvers / Ryan Lowe, Matthias Voigt
VerfasserLowe, Ryan ; Voigt, Matthias
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, October 21, 2013
Umfang1 Online-Ressource (11 Seiten = 0,21 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 13-20
URNurn:nbn:de:gbv:3:2-64356 
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L∞-norm computation for large-scale descriptor systems using structured iterative eigensolvers [0.21 mb]
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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.