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

B Salimbahrami, B Lohmann, T Bechtold and Jg Korvink

Mathematical and Computer Modelling of Dynamical Systems, 2005, vol. 11, issue 1, 79-93

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.

Date: 2005
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DOI: 10.1080/13873950500052595

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