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Rational Approximation in Systems Engineering pp 379–394Cite as

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Contractive Intertwining Dilations and Norm Approximation Techniques

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Abstract

Recent results in labelling all contractive intertwining dilations and in studying connections between labellings are presented. These facts are used to describe the general solution of the Carathéodory-Fejér extrapolation problem. This turns out to be useful for some numerical problems such as: computation of the norm of an analytic Toeplitz matrix, an algorithm for detecting reflection coefficients in seismic exploration, and a model for controlling the errors in Wiener prediction.

Received August 31, 1981; revised October 21, 1981.

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Author information

Authors and Affiliations

  1. Department of Mathematics, INCREST, Bdul Pǎcii nr. 220, 79622, Bucharest, Romania

    Gr. Arsene & Zoia Ceauşescu

Authors
  1. Gr. Arsene
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  2. Zoia Ceauşescu
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Editor information

Editors and Affiliations

  1. Department of Computer Sciences, Katholieke Universiteit, Celestijnenlaan 200 A, B-3030, Heverlee, Belgium

    Adhemar Bultheel

  2. Department of Electrical Engineering, Delft University of Technology, Mekelweg 4, NL-2600, GA Delft, The Netherlands

    Patrick Dewilde

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© 1982 Springer Science+Business Media New York

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Arsene, G., Ceauşescu, Z. (1982). Contractive Intertwining Dilations and Norm Approximation Techniques. In: Bultheel, A., Dewilde, P. (eds) Rational Approximation in Systems Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4899-6790-9_10

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  • DOI: https://doi.org/10.1007/978-1-4899-6790-9_10

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4899-6792-3

  • Online ISBN: 978-1-4899-6790-9

  • eBook Packages: Springer Book Archive

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