A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure

B. Salimbahrami; B. Lohmann; T. Bechtold; J. G. Korvink

doi:10.1080/13873950500052595

A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure

B. Salimbahrami, B. Lohmann, T. Bechtold, J. G. Korvink

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17 Scopus citations

Abstract

In this paper we introduce a two-sided Arnoldi method for the reduction of high order linear systems and we propose useful extensions, first of all a stopping criterion to find a suitable order for the reduced model and secondly, a selection procedure to significantly improve the performance in the multi-input multi-output (MIMO) case. One application is in micro-electro- mechanical systems (MEMS). We consider a thermo-electric micro thruster model, and a comparison between the commonly used Arnoldi algorithm and the two-sided Arnoldi is performed.

Original language	English
Pages (from-to)	79-93
Number of pages	15
Journal	Mathematical and Computer Modelling of Dynamical Systems
Volume	11
Issue number	1
DOIs	https://doi.org/10.1080/13873950500052595
State	Published - Mar 2005
Externally published	Yes

Keywords

Arnoldi algorithm
Krylov subspace
Large scale systems
Moment matching
Order reduction

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10.1080/13873950500052595

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AU - Salimbahrami, B.

AU - Lohmann, B.

AU - Bechtold, T.

AU - Korvink, J. G.

PY - 2005/3

Y1 - 2005/3

N2 - In this paper we introduce a two-sided Arnoldi method for the reduction of high order linear systems and we propose useful extensions, first of all a stopping criterion to find a suitable order for the reduced model and secondly, a selection procedure to significantly improve the performance in the multi-input multi-output (MIMO) case. One application is in micro-electro- mechanical systems (MEMS). We consider a thermo-electric micro thruster model, and a comparison between the commonly used Arnoldi algorithm and the two-sided Arnoldi is performed.

AB - In this paper we introduce a two-sided Arnoldi method for the reduction of high order linear systems and we propose useful extensions, first of all a stopping criterion to find a suitable order for the reduced model and secondly, a selection procedure to significantly improve the performance in the multi-input multi-output (MIMO) case. One application is in micro-electro- mechanical systems (MEMS). We consider a thermo-electric micro thruster model, and a comparison between the commonly used Arnoldi algorithm and the two-sided Arnoldi is performed.

KW - Arnoldi algorithm

KW - Krylov subspace

KW - Large scale systems

KW - Moment matching

KW - Order reduction

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JF - Mathematical and Computer Modelling of Dynamical Systems

IS - 1

ER -

A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure

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Keywords

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