Computing Passive Reduced-Order Models for Circuit Simulation

We investigate numerical methods for passive model reduction of linear dynamical systems. This is an important task in circuit simulation when modeling parasitic effects of interconnect. We will show how positive real balancing, based on balancing the solutions of two algebraic Riccati equations, can be used for passive model reduction of large-scale systems on parallel computers. Numerical experiments demonstrate the performance of the parallel algorithms using several examples from circuit simulation.