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On Inversion of Certain Structured Linear Transformations Related to Block Toeplitz Matrices

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Book cover A Panorama of Modern Operator Theory and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 218))

Abstract

This paper presents an explicit inversion formula for certain structured linear transformations that are closely related to finite block Toeplitz matrices. The conditions of invertibility are illustrated by an example. State space techniques from mathematical system theory play an important role.

Mathematics Subject Classification (2000). Primary 47B35; secondary 15A09, 93B99.

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References

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Author information

Authors and Affiliations

  1. Afdeling Wiskunde, Faculteit der Exacte Wetenschappen, VU Universiteit Amsterdam, De Boelelaan 1081a, NL-1081 HV, Amsterdam, The Netherlands

    M. A. Kaashoek & F. van Schagen

Authors
  1. M. A. Kaashoek
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  2. F. van Schagen
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Corresponding author

Correspondence to M. A. Kaashoek .

Editor information

Editors and Affiliations

  1. Dept. Mathematics, Weizmann Institute of Science, Rehovot, Israel

    Harry Dym

  2. Dept. Mathematics &, Computer Sciences, Free University Amsterdam, De Boelelaan 1081 A, Amsterdam, 1081 HV, Netherlands

    Marinus A. Kaashoek

  3. Dept. Mathematics & Statistics, University of Calgary, University Drive NW 2500, Calgary, T2N 1N4, Alberta, Canada

    Peter Lancaster

  4. Inst. Analysis und Scientific Computing, TU Wien, Wiedner Hauptstr. 8-10, Wien, 1040, Austria

    Heinz Langer

  5. Dept. Mathematics, Technion Israel Institute of Technology, Haifa, 32000, Israel

    Leonid Lerer

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Kaashoek, M.A., van Schagen, F. (2012). On Inversion of Certain Structured Linear Transformations Related to Block Toeplitz Matrices. In: Dym, H., Kaashoek, M., Lancaster, P., Langer, H., Lerer, L. (eds) A Panorama of Modern Operator Theory and Related Topics. Operator Theory: Advances and Applications(), vol 218. Springer, Basel. https://doi.org/10.1007/978-3-0348-0221-5_16

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