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Generating functions and Bézoutians. (English) Zbl 0863.15002
The idea of the generating function of a matrix is used to establish a Bézoutian type for a matrix \(M\) for which an intertwining relation of the form \(MA^T=AM\) holds. For an invertible Hankel matrix \(H\) the generating function of \(H^{-1}\) is given in terms of a Bézoutian.

MSC:
15A09 Theory of matrix inversion and generalized inverses
15B57 Hermitian, skew-Hermitian, and related matrices
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