| Issue |
ESAIM: Proc.
Volume 20, 2007
RFMAO 05 - Rencontres Franco-Marocaines en Approximation et Optimisation 2005
|
|
|---|---|---|
| Page(s) | 83 - 92 | |
| DOI | https://doi.org/10.1051/proc:072008 | |
| Published online | 13 October 2007 | |
Calculating the H∞-norm of large sparse systems via Chandrasekhar iterations and extrapolation
1
SCS, Florida State University, Tallahassee FL 32306-4120, USA
2
CESAME, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium;
Corresponding authors: younes.chahlaoui@laposte.net gallivan@csit.fsu.edu vdooren@csam.ucl.ac.be
We describe an algorithm for estimating the Η∞-norm of a large linear time invariant dynamical system described by a discrete time state-space model. The algorithm uses Chandrasekhar iterations to obtain an estimate of the Η∞-norm and then uses extrapolation to improve these estimates.
Résumé
Nous décrivons un algorithme pour estimer la norme Η∞ d'un système dynamique linéaire à temps invariant de grande dimension décrit par un modèle d'espace d'état discret. L'algorithme emploie des récurrences de Chandrasekhar pour obtenir une estimation de la norme Η∞ puis emploie l'extrapolation pour améliorer ces estimations.
Key words: Η∞-norm / large sparse systems / Chandrasekhar iterations.
© EDP Sciences, ESAIM, 2007
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