Geodesic
A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems
H. Barkouki 1   ; A. H. Bentbib 1   ; K. Jbilou 2
1 Faculté des Sciences et Techniques Guéliz Laboratoire de Mathématiques Appliquées et Informatique Marrakech, Morocco
2 Laboratoire LMPA ULCO 50 rue F. Buisson 62228 Calais, France
Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 277-294 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am2302-5-2016
Keywords: propose adaptive model reduction algorithm computing reduced order model dynamical multi input multi output mimo linear time independent lti dynamical systems process based multipoint moment matching moreover develop simple lanczos like equations rational block derive simple residual error expressions adaptive method choosing interpolation points proposed finally numerical experiments reported effectiveness adaptive modified rational block lanczos mathtt amrbl process applied stable linear lti dynamical systems

H. Barkouki  1   ; A. H. Bentbib  1   ; K. Jbilou  2

1 Faculté des Sciences et Techniques Guéliz Laboratoire de Mathématiques Appliquées et Informatique Marrakech, Morocco
2 Laboratoire LMPA ULCO 50 rue F. Buisson 62228 Calais, France 
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     author = {H. Barkouki and A. H. Bentbib and K. Jbilou},
     title = {A modified nonsymmetric rational block {Lanczos} method for model reduction in large scale {LTI} dynamical systems},
     journal = {Applicationes Mathematicae},
     pages = {277--294},
     year = {2016},
     volume = {43},
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     language = {en},
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H. Barkouki; A. H. Bentbib; K. Jbilou. A modified nonsymmetric rational block Lanczos method for model reduction in large scale LTI dynamical systems. Applicationes Mathematicae, Tome 43 (2016) no. 2, pp. 277-294. doi: 10.4064/am2302-5-2016

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