A unified approach to Nevanlinna-Pick interpolation problems

Laurent Baratchart (1) , Martine Olivi (1) , Fabien Seyfert (1)

1 APICS - Analysis and Problems of Inverse type in Control and Signal processing

This work deals with Complex-valued interpolation by a Schur rational function of given degree at a set of nodes located in the closed lower half-plane, with prescribed maximum points for the modulus (i.e. points where it is equal to 1) on the real axis. The motivation comes from broadband matching, for which the technique we develop offers a new tool.

Domaines: Optimisation et contrôle [math.OC]

Laurent Baratchart, Martine Olivi, Fabien Seyfert. A unified approach to Nevanlinna-Pick interpolation problems. 22nd International Symposium on Mathematical Theory of Networks and Systems, Jul 2016, Mineapolis, United States. ⟨hal-01420880⟩