A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems

Volume 43 / 2016

H. Barkouki, A. H. Bentbib, K. Jbilou Applicationes Mathematicae 43 (2016), 277-294 MSC: Primary 65F; Secondary 15A. DOI: 10.4064/am2302-5-2016 Published online: 4 November 2016

Abstract

We propose an adaptive model reduction algorithm for computing a reduced-order model of dynamical multi-input and multi-output (MIMO) linear time independent (LTI) dynamical systems. The process is based on multipoint moment matching. Moreover, we develop new simple Lanczos-like equations for the rational block case, and we use them to derive simple residual error expressions. An adaptive method for choosing the interpolation points is also proposed. Finally, some numerical experiments are reported to show the effectiveness of the new adaptive modified rational block Lanczos ($\mathtt{AMRBL}$) process when applied to stable linear LTI dynamical systems.

Authors

  • H. BarkoukiFaculté des Sciences et Techniques Guéliz
    Laboratoire de Mathématiques Appliquées
    et Informatique
    Marrakech, Morocco
    e-mail
  • A. H. BentbibFaculté des Sciences et Techniques Guéliz
    Laboratoire de Mathématiques Appliquées
    et Informatique
    Marrakech, Morocco
    e-mail
  • K. JbilouLaboratoire LMPA
    ULCO
    50 rue F. Buisson
    62228 Calais, France
    e-mail

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