Abstract. In this paper we introduce a two-sided Arnoldi method that can be used in the reduction of high order systems, based on a two-sided Krylov subspace approach. The presented method can find better results than the well known Arnoldi algorithm and leads to the same reduced models as the (numerically unstable and more complicated) Lanczos algorithm. The new algorithm can find two orthogonal bases for any pair of Krylov subspaces and can be used for order reduction of the most general case of linear time invariant SISO systems. A new stopping criterion for this iterative procedure is suggested, delivering a suitable order for the reduced model. One of the applications of this method is in micro electro mechanical systems (MEMS). We consider a thermoelectric micro thruster model, and a comparison between the commonly used Arnoldi algorithm and the new two-sided Arnoldi is performed. 1
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