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

Oussama ABİDİ; Mustapha HACHED; Khalide JBİLOU

Makale detayları

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

Yazarlar:

Oussama ABİDİ | Mustapha HACHED | Khalide JBİLOU

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 2, pp.227-239

Belge Tipi:

Makale

Yayın Tarihi:

2/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000830039

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520

Özet:

 



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.




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Makale detayları

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

Yazarlar: Oussama ABİDİ | Mustapha HACHED | Khalide JBİLOU

Yayıncı: Biska Bilişim

Dergi: New Trends in Mathematical Sciences 2016 Vol.4 Issue 2, pp.227-239

Belge Tipi: Makale

Yayın Tarihi: 2/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000830039

Sıklık: Üç Aylık

eISSN: 2147-5520

pISSN: 2147-5520

Sayı

Yazarlar:

Oussama ABİDİ | Mustapha HACHED | Khalide JBİLOU

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2016 Vol.4 Issue 2, pp.227-239

Belge Tipi:

Makale

Yayın Tarihi:

2/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000830039

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520