A Correction for Computing Matrix-Valued Nevanlinna-Pick Interpolation Problem

摘要

The Nevanlinna-Pick interpolation theorems and their matrix generalizations have proved to be very useful in solving engineering problems, in particular, in circuit theory [7] and for control theory problems involving an H~∞-criterion. This development led to a new field of research, in which the emphasis is on interpolants that are rational matrix functions and on the search for explicit formulas and efficient algorithms for the construction of interpolants in a form which is suitable for engineering applications. In 1994, Chen and Koc developed an algorithm based on Delsarte et al's paper to solve this problem in the unit disc[5]. The Proposed algorithm in [5] has a mathematical mistake at the formulation stage. In this study this was pointed out. An application of the algorithm for some data is included as well.