A new mixed method for relative error model order reduction

A new mixed method for relative error model order reduction is proposed. In the proposed method the frequency domain balanced stochastic truncation method is improved by applying the generalized singular perturbation method to the frequency domain balanced system in the reduction procedure. Frequency domain balanced stochastic truncation method is based on two recently developed methods, namely frequency domain balanced truncation within a frequency bound and inner-outer factorization techniques. The proposed method is of interest for practical model order reduction because in this context it is important to keep the accuracy of the approximation as high as possible without sacrificing the computational efficiency. Numerical results show the accuracy and flexibility enhancement of the method.