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Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant

  • Annie A. M. Cuyt
Part II: Short Communications
Part of the Lecture Notes in Mathematics book series (LNM, volume 888)

Keywords

Rational Approximation Taylor Series Expansion Rational Approximants Roman Figure Rational Approxi 
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References Sections 1–3

  1. (I).
    Cuyt Annie A.M. Abstract Padé-approximants in Operator Theory. Lecture Notes in Mathematics 765: Padé Appr. and its Appl. (L. Wuytack ed.) pp. 61–87, Springer, Berlin, 1979.Google Scholar
  2. (II).
    Cuyt Annie A.M. On the properties of abstract rational (1-point) approximants (ARA). to appear in: Journal of Operator Theory 5(2), spring '81.Google Scholar
  3. (III).
    Chisholm J.S.R. N-Variable Rational Approximants. in: Saff E.B. and Varga R.S. Padé and Rational approximations: theory and applications. Academic Press, London, 1977, pp. 23–42.CrossRefGoogle Scholar
  4. (IV).
    Hughes Jones R. General Rational Approximants in N-Variables. Journal of Approximation Theory 16, 1976, pp. 201–233.MathSciNetCrossRefzbMATHGoogle Scholar
  5. (V).
    Hughes Jones R. and Makinson G.J. The generation of Chisholm Rational Polynomial Approximants to Power series in Two Variables. Journal of the Inst. of Math. and its Appl., 1974, pp. 299–310.Google Scholar
  6. (VI).
    Karlsson J. and Wallin H. Rational Approximation by an interpolation procedure in several variables. in: Saff E.B. and Varga R.S. Padé and Rational approximations: theory and applications. Academic Press, London, 1977, pp. 83–100.CrossRefGoogle Scholar
  7. (VII).
    Lutterodt C.H. Rational Approximants to Holomorphic Functions in n-Dimensions. Journal of Mathematical Analysis and Applications 53, 1976, pp. 89–98.MathSciNetCrossRefzbMATHGoogle Scholar
  8. (VIII).
    Lutterodt C.H. A two-dimensional analogue of Padé-approximant theory. J. Phys. A: Math. Vol. 7 No 9, 1974, pp. 1027–1037.MathSciNetCrossRefzbMATHGoogle Scholar
  9. (IX).
    Rall L.B. Computational Solutoin of Nonlinear Operator Equations. John Wiley and Sons Inc., New York, 1969.zbMATHGoogle Scholar

Copyright information

© Srpinger-Verlag 1981

Authors and Affiliations

  • Annie A. M. Cuyt
    • 1
  1. 1.Department WiskundeUniversitaire Instelling AntwerpenWilrijkBelgium

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