A Lanczos method fo Port-Hamiltonian systems

The framework of port-Hamiltonian systems (PH systems) combines both the Hamiltonian approach and the network approach, by associating with the interconnection structure of the network model a geometric structure given by a Dirac structure. A Lanczos method for non-symmetric systems of linear equations that exploits the structure of PH systems has been derived. The results from a series of parametrized numerical experiments are presented to show the numerical stability and behavior of the solution depending on the parameters.