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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
##### Keywords:
generating function; Bézoutian; Hankel matrix
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