Geodesic
Generating functions and Bézoutians
Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 183-188

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MR Zbl
Using the idea of the generating function of a matrix in an extended sense we establish a Bezoutian type formula for a matrix $M$ satisfying an intertwining relation of the form $M A^T = A M$. In the particular case of classical generating functions this formula gives a simple proof of Lander's theorem on the inverse of a Hankel matrix.
Using the idea of the generating function of a matrix in an extended sense we establish a Bezoutian type formula for a matrix $M$ satisfying an intertwining relation of the form $M A^T = A M$. In the particular case of classical generating functions this formula gives a simple proof of Lander's theorem on the inverse of a Hankel matrix.
DOI : 10.21136/MB.1996.126101
Classification : 15A09, 15A57
Keywords: generating function; Bézoutian; Hankel matrix 
Pták, Vlastimil. Generating functions and Bézoutians. Mathematica Bohemica, Tome 121 (1996) no. 2, pp. 183-188. doi: 10.21136/MB.1996.126101
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