Skip to main content

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

  • Part II: Short Communications
  • Conference paper
  • First Online:
Padé Approximation and its Applications Amsterdam 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 888))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References Sections 1–3

  1. 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. 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. 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.

    Chapter  Google Scholar 

  4. Hughes Jones R. General Rational Approximants in N-Variables. Journal of Approximation Theory 16, 1976, pp. 201–233.

    Article  MathSciNet  MATH  Google Scholar 

  5. 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. 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.

    Chapter  Google Scholar 

  7. Lutterodt C.H. Rational Approximants to Holomorphic Functions in n-Dimensions. Journal of Mathematical Analysis and Applications 53, 1976, pp. 89–98.

    Article  MathSciNet  MATH  Google Scholar 

  8. Lutterodt C.H. A two-dimensional analogue of Padé-approximant theory. J. Phys. A: Math. Vol. 7 No 9, 1974, pp. 1027–1037.

    Article  MathSciNet  MATH  Google Scholar 

  9. Rall L.B. Computational Solutoin of Nonlinear Operator Equations. John Wiley and Sons Inc., New York, 1969.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

M. G. de Bruin H. van Rossum

Additional information

To my dear mother and brother.

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Srpinger-Verlag

About this paper

Cite this paper

Cuyt, A.A.M. (1981). Numerical comparison of abstract Pade-approximants and abstract rational approximants with other generalizations of the classical pade-approximant. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095582

Download citation

  • DOI: https://doi.org/10.1007/BFb0095582

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11154-2

  • Online ISBN: 978-3-540-38606-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics