Abstract
A new approach is presented to the generalized Nevanlinna-Pick interpolation problem. This approach is based upon a recursive way, called block-reduction method, for solving the problem of finding all V'(s) (∈CH∞) satisfying ||T-UV||∞<1, where the A-matrix of the minimal realization of U-1(s) has a block diagonal form. Differential interpolation conditions are easily treated.
