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

Author

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  • B Salimbahrami
  • B Lohmann
  • T Bechtold
  • JG Korvink

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.

Suggested Citation

  • B Salimbahrami & B Lohmann & T Bechtold & JG Korvink, 2005. "A two-sided Arnoldi algorithm with stopping criterion and MIMO selection procedure," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 11(1), pages 79-93, March.
  • Handle: RePEc:taf:nmcmxx:v:11:y:2005:i:1:p:79-93
    DOI: 10.1080/13873950500052595
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    Cited by:

    1. Pulch, Roland, 2018. "Model order reduction and low-dimensional representations for random linear dynamical systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 1-20.
    2. Chun-Yue Chen & Yao-Lin Jiang & Hai-Bao Chen, 2011. "An -embedding model-order reduction approach for differential-algebraic equation systems," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 18(2), pages 223-241, August.

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