Time-integration methods for partitioned dynamical systems and iterative methods for viscous-inviscid interaction are unified using the language of linear algebra. In this way all expertise built up in viscous-inviscid interaction methods becomes available for the integration of partitioned dynamical systems. This report applies some well established methods from the former discipline to the latter discipline. Amongst others, it is shown that a few recently introduced integration methods for partitioned dynamical systems already possess a long history in the realm of computational fluid dynamics.