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The Padé Approximants in a Non-Commutative Algebra and their Applications

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Padé Approximation and its Applications Bad Honnef 1983

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1071))

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Bibliography

  1. BERLINET A. "Estimating the degrees of an ARMA model"-To appear in "Compstat Lectures".

    Google Scholar 

  2. BERLINET A. "Some useful algorithms in time series analysis"-Publ. IRMA Lille, Vol 5, fasc. 1, (1983)-(To appear in the publications of University Saint Louis).

    Google Scholar 

  3. BREZINSKI C. "Padé-type approximation and general orthogonal polynomials"-ISNM0 vol.50, Birkhäuser Verlag, Basel, 1980.

    Google Scholar 

  4. BULTHEEL A. "Epsilon and qd algorithms for the Matrix-Padé and 2-D Padé problem"-Report TW 57, 1982, K.U. Leuven (Belgium).

    Google Scholar 

  5. CUYT A. "Abstract Padé-approximants for operators: theory and applications"-Thesis, Anvers 1982.

    Google Scholar 

  6. DRAUX A. "Polynômes orthogonaux formels. Applications"-Lecture Notes in Mathematics 974, Springer Verlag, Heidelberg, 1983.

    Book  MATH  Google Scholar 

  7. DRAUX A. "Polynômes orthogonaux formels dans une algëbre non commutative"-Publication ANO 92, Lille 1, 1982.

    Google Scholar 

  8. DRAUX A. "Approximants de type Padé et de Padé"-Publication ANO 96, Lille 1, 1983.

    Google Scholar 

  9. DRAUX A. "Approximants de type Padë et de Padé en deux points"-Publication ANO 110, Lille 1, 1983.

    Google Scholar 

  10. DRAUX A. "L’epsilon algorithme"-Publication ANO 115, Lille 1, 1983.

    Google Scholar 

  11. DRAUX A. "Convergence"-Publication ANO 117, Lille 1, 1984.

    Google Scholar 

  12. DRAUX A. "Quelques applications"-Publication ANO 120, Lille 1, 1984.

    Google Scholar 

  13. DRAUX A. "Formal orthogonal polynomials and Padé approximants in a non commutative algebra" in "Mathematical Theory of Networks and Systems"-Proceedings of the MTNS 83-International Symposium, Beer Sheva, Israel, 1983, Lecture Notes in Control and Information Sciences, 58.

    Google Scholar 

  14. GRAGG W.B. and LINDQUIST A. "On the partial realization problem"-Linear algebra, 50 (1983), p. 277–319.

    Article  MathSciNet  MATH  Google Scholar 

  15. MOLER C.B. and VAN LOAN C.F. "Nineteen dubious ways to compute the matrix exponential"-SIAM Rev., 20 (1978) p. 801–836.

    Article  MathSciNet  MATH  Google Scholar 

  16. WYNN P. "Continued fractions whose coefficients obey a non commutative law of multiplication"-Arch. Rat. Mech. Anal., 12, (1963), pp. 273–312.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. U.E.R. d’I.E.E.A - Informatique, Université de Lille I, 59655, Villeneuve d’Ascq Cedex, France

    André Draux

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  1. André Draux
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Helmut Werner Hans Josef Bünger

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© 1984 Springer-Verlag

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Draux, A. (1984). The Padé Approximants in a Non-Commutative Algebra and their Applications. In: Werner, H., Bünger, H.J. (eds) Padé Approximation and its Applications Bad Honnef 1983. Lecture Notes in Mathematics, vol 1071. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099613

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  • DOI: https://doi.org/10.1007/BFb0099613

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13364-3

  • Online ISBN: 978-3-540-38914-9

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