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Fast algorithms for structured matrices and interpolation problems

  • II. Algebraic Methods
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Algebraic Computing in Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 165))

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References

  1. A. V. Aho, J. E. Hopcroft, J. D. Ullman. The design and analysis of computer algorithms. Addison-Wesley 1976.

    Google Scholar 

  2. G. Ammar, P. Gader, New decompositions of the inverse of a Toeplitz matrix. In: Progress in Systems and Control Theory. vol. 5. Birkhäuser Boston 1990, 421–428.

    Google Scholar 

  3. A. C. Autoulas, B. D. O. Anderson. On the problem of atable rational interpolation. Linear Algebra Appl. 122-24 (1989), 301–329.

    Google Scholar 

  4. J. Ball, I. Gohberg, L. Rodman, Rational interpolation of matrix-valued functions. Birkhäuser Boston 1990.

    Google Scholar 

  5. M. van Barel, A. Bultheel, A new formal approach to the rational interpolation problem. Report TW 134 (1990), Katholieke Universiteit Leuven.

    Google Scholar 

  6. A. Gerasoulis, A fast algorithm for the multiplication of generalized Hilbert matrices with vectors. Math. Comp. 50(1987), 179–188.

    Google Scholar 

  7. I. Gohberg, T. Kailath, I. Koltracht, P. Lancaster. Linear complexity parallel algorithms for linear systems of equations with recursive structure. Linear Algebra Appl. 88/89 (1987), 271–315.

    Google Scholar 

  8. G. Heinig. Formulas and algorithms for block Hankel matrix inversion and partial realization. In: Progress in Systems and Control Theory, vol. 5, Birkhäuser Boston 1990, 79–90.

    Google Scholar 

  9. G. Heinig, Matrix representations of Bezoutians. Linear Algebra Appl. (to appear).

    Google Scholar 

  10. G. Heinig, W. Hoppe, K. Rost, Structuredmatrices in interpolation and approximation problems. Wissensch. Zeitschr. d. TU Karl-Marx-Stadt 31, 2 (1989), 196–202.

    Google Scholar 

  11. G. Heinig, P. Jankowski, Parallel and superfast algorithms for Hankel systems of equations. Numer.Math. 58 (1990), 109–127.

    Google Scholar 

  12. G. Heinig, P. Jankowski, K. Rost, Fast algorithms for Toeplitz-plus-Hankel matrices. Numer. Math. 52 (1988), 665–682.

    Google Scholar 

  13. G. Heinig, K. Rost. Algebraic methods for Toeplitz-like matrices and operators. Birkhäuser Boston 1984.

    Google Scholar 

  14. G. Heinig, K. Rost, Matrix representations of Toeplitz-plus-Hankel matrix inverses. Linear Algebra Appl. 113 (1989), 65–78.

    Google Scholar 

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Gérard Jacob Françoise Lamnabhi-Lagarrigue

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© 1991 Springer-Verlag

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Heinig, G. (1991). Fast algorithms for structured matrices and interpolation problems. In: Jacob, G., Lamnabhi-Lagarrigue, F. (eds) Algebraic Computing in Control. Lecture Notes in Control and Information Sciences, vol 165. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006939

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  • DOI: https://doi.org/10.1007/BFb0006939

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  • Print ISBN: 978-3-540-54408-1

  • Online ISBN: 978-3-540-47603-0

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