Fast Model Reduction of Parametric Systems using Subspace Recycling

A fast computation technique is proposed in this paper to speed up the process of model order reduction for parameterized systems. The key step and also the main computational load of many model order reduction methods is the computation of a projection matrix V which requires computing moment matrices of the systems. For computing each moment matrix, the solution of a linear system with multiple righthand sides is required. Usually, a considerable number of linear systems have to be solved when the system includes more than two parameters. If the original system is of very large size, solving all the linear systems occupies the most part of the computation for obtaining the reduced model. In this paper, a fast recycling algorithm is applied to solve the whole sequence of linear systems and is shown to be much more efficient than the standard solvers as well as a newly proposed recycling method from [10], [11]. By using the recycling algorithm, the process of generating the reduced model can therefore be significantly accelerated.