On InverUbility of Nonaquare Generalized Bezoutlans

M. I. Gekhtman* and M. Shmoish Department of Theoretical Mathematics The Weizmann Institute of Science Rehovot 76100, Israel ¢ Dedicated to M. Fiedler and V. Pt~k. Submitted by Nicholas J. Young ABSTRACT Conditions for inverting H-Bezoutians of nonsquare matrix polynomials are studied. Necessary and sufficient conditions for invertibility of the Anderson-Jury Bezoutian are obtained. An application to the inversion of block Hankel matrices is