Abstract
Matrices are considered the entries of which fulfil a difference equation (called ω-structured matrices) and a class of generalized Bezoutians is introduced. It is shown that A is a generalized Bezoutian iff its inverse is ω-structured. This result generalizes the Gohberg/Semencul theorem and other facts concerning Toeplitz matrices.
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Dedicated to our teacher Professor I. Gohberg on the occasion of his 60th birthday with admiration.
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© 1989 Birkhäuser Verlag Basel
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Heinig, G., Rost, K. (1989). Matrices with Displacement Structure, Generalized Bezoutians, and Moebius Transformations. In: Dym, H., Goldberg, S., Kaashoek, M.A., Lancaster, P. (eds) The Gohberg Anniversary Collection. Operator Theory: Advances and Applications, vol 40/41. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-9144-8_7
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DOI: https://doi.org/10.1007/978-3-0348-9144-8_7
Publisher Name: Birkhäuser, Basel
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