A global rational Arnoldi method for model ...
Document type :
Compte-rendu et recension critique d'ouvrage
Title :
A global rational Arnoldi method for model reduction
Author(s) :
Abidi, Oussama [Auteur]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]
Hached, Mustapha [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Jbilou, Khalide [Auteur]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]
Hached, Mustapha [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Université de Lille
Jbilou, Khalide [Auteur]
Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville [LMPA]
Journal title :
Journal of Computational and Applied Mathematics
Pages :
175-187
Publisher :
Elsevier
Publication date :
2017-12
ISSN :
0377-0427
English keyword(s) :
Matrix Krylov subspaces
Model reduction
Dynamical systems
Model reduction
Dynamical systems
HAL domain(s) :
Mathématiques [math]
English abstract : [en]
In this paper, we propose two new approaches for model order reduction of large-scale multi-input multi-output (MIMO) linear time invariant dynamical systems (LTI). These methods are based on a generalization of the global ...
Show more >In this paper, we propose two new approaches for model order reduction of large-scale multi-input multi-output (MIMO) linear time invariant dynamical systems (LTI). These methods are based on a generalization of the global Arnoldi algorithm which is used to generate projection subspaces. An adaptive procedure for the selection of shift parameters is proposed and some simple Arnoldi relations are established in order to compute error bounds on the transfer function. Numerical experiments showing the effectiveness of these approaches are provided.Show less >
Show more >In this paper, we propose two new approaches for model order reduction of large-scale multi-input multi-output (MIMO) linear time invariant dynamical systems (LTI). These methods are based on a generalization of the global Arnoldi algorithm which is used to generate projection subspaces. An adaptive procedure for the selection of shift parameters is proposed and some simple Arnoldi relations are established in order to compute error bounds on the transfer function. Numerical experiments showing the effectiveness of these approaches are provided.Show less >
Language :
Anglais
Popular science :
Non
Comment :
MSC : 65F10; 65F30
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Source :
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