Interpolation Problems for Rational Matrix Functions with Incomplete Data and Wiener-Hopf Factorization
Israel Gohberg, M. A. Kaashoek, André C. M. Ran · Operator theory · 1988
This paper concerns the problem to construct a rational matrix function with a prescribed zero and pole structure and which has the value I at infinity. In general, even in the scalar case the problem is only solvable after the given data have been completed with a complementary zero and pole structure. A description of all solutions of minimal possible McMillan degree is given in realized form. The results are applied to obtain Wiener-Hopf factorizations from a new point of view.