Titre :

Adaptive rational block Arnoldi methods for model reductions in large-scale MIMO dynamical systems

Auteur(s) :

Hached, Mustapha [Auteur]
Université de Lille
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Jbilou, Khalide [Auteur]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]
Abidi, Oussama [Auteur]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]

Titre de la revue :

New Trends in Mathematical Science

Pagination :

227-239

Date de publication :

2016-04-28

ISSN :

2147-5520

Mot(s)-clé(s) en anglais :

Dynamical systems
model reduction
rational block Krylov subspaces
transfer functions

Discipline(s) HAL :

Mathématiques [math]

Résumé en anglais : [en]

In recent years, a great interest has been shown towards Krylov subspace techniques applied to model order reduction of large-scale dynamical systems. A special interest has been devoted to single-input single-output (SISO) ...
Lire la suite >In recent years, a great interest has been shown towards Krylov subspace techniques applied to model order reduction of large-scale dynamical systems. A special interest has been devoted to single-input single-output (SISO) systems by using moment matching techniques based on Arnoldi or Lanczos algorithms. In this paper, we consider multiple-input multiple-output (MIMO) dynamical systems and introduce the rational block Arnoldi process to design low order dynamical systems that are close in some sense to the original MIMO dynamical system. Rational Krylov subspace methods are based on the choice of suitable shifts that are selected a priori or adaptively. In this paper, we propose an adaptive selection of those shifts and show the efficiency of this approach in our numerical tests. We also give some new block Arnoldi-like relations that are used to propose an upper bound for the norm of the error on the transfer function.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

Date de dépôt :

2025-01-24T14:19:01Z