A Schur algorithm for transfer function of over-determined conservative systems, invariant in one direction (Q1028071)

An analogue of the Schur algorithm for transfer functions of lossless \(2D\) systems which are invariant with respect to one of the variables is defined. To do this, the class \({\mathcal C} I\) and the vectorial Schur algorithm are defined. Then the Schur algorithm in the class \({\mathcal C}I\) is analysed. The results permit to define the interpolation Nevanlinna--Pick problems type in the case of the class \({\mathcal C}I\).