Computational techniques for [formula omitted] optimal frequency-limited model order reduction of large-scale sparse linear systems

Abstract

We consider the problem of frequency limited H2 optimal model order reduction for large-scale sparse linear systems. A set of first-order H2 optimality conditions are derived for the frequency limited model order reduction problem. These conditions involve the solution of two frequency limited Sylvester equations that are known to be computationally complex. We discuss a framework for solving these matrix equations efficiently. The idea is also extended to the frequency limited H2 optimal model order reduction of index-1 descriptor systems. Numerical experiments are carried out using Python programming language and the results are presented to demonstrate the approximation accuracy and computational efficiency of the proposed technique.