Nonlinear Numerical Methods and Rational Approximation II

  • Annie Cuyt

Part of the Mathematics and Its Applications book series (MAIA, volume 296)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Orthogonal Polynomials

    1. Front Matter
      Pages 1-1
    2. Adhemar Bultheel, Pablo Gonzalez-Vera, Erik Hendriksen, Olav Njåstad
      Pages 37-47
    3. C. Brezinski, M. Redivo-Zaglia
      Pages 49-59
    4. Francisco Marcellán, Teresa E. Pérez, Miguel A. Piñar
      Pages 71-82
    5. A. Cachafeiro, C. Suárez
      Pages 83-96
  3. Rational Interpolation

    1. Front Matter
      Pages 107-107
    2. M. Van Barel, B. Beckermann, A. Bultheel, G. Labahn
      Pages 137-148
  4. Rational Approximation

  5. Padé Approximation

  6. Continued fractions

    1. Front Matter
      Pages 319-319
    2. Cathleen Craviotto, William B. Jones, W. J. Thron
      Pages 321-373
    3. Cathleen Craviotto, William B. Jones, W. J. Thron
      Pages 375-385
    4. Catherine M. Bonan-Hamada, William B. Jones, W. J. Thron
      Pages 395-407
    5. William B. Jones, W. J. Thron, Nancy J. Wyshinski
      Pages 409-422
    6. Paul Levrie, Marc Van Barel, Adhemar Bultheel
      Pages 433-446

About this book


These are the proceedings of the international conference on "Nonlinear numerical methods and Rational approximation II" organised by Annie Cuyt at the University of Antwerp (Belgium), 05-11 September 1993. It was held for the third time in Antwerp at the conference center of UIA, after successful meetings in 1979 and 1987 and an almost yearly tradition since the early 70's. The following figures illustrate the growing number of participants and their geographical dissemination. In 1993 the Belgian scientific committee consisted of A. Bultheel (Leuven), A. Cuyt (Antwerp), J. Meinguet (Louvain-Ia-Neuve) and J.-P. Thiran (Namur). The conference focused on the use of rational functions in different fields of Numer­ ical Analysis. The invited speakers discussed "Orthogonal polynomials" (D. S. Lu­ binsky), "Rational interpolation" (M. Gutknecht), "Rational approximation" (E. B. Saff) , "Pade approximation" (A. Gonchar) and "Continued fractions" (W. B. Jones). In contributed talks multivariate and multidimensional problems, applications and implementations of each main topic were considered. To each of the five main topics a separate conference day was devoted and a separate proceedings chapter compiled accordingly. In this way the proceedings reflect the organisation of the talks at the conference. Nonlinear numerical methods and rational approximation may be a nar­ row field for the outside world, but it provides a vast playground for the chosen ones. It can fascinate specialists from Moscow to South-Africa, from Boulder in Colorado and from sunny Florida to Zurich in Switzerland.


Meromorphic function continued fraction differential equation exponential function numerical analysis numerical methods orthogonal polynomials

Editors and affiliations

  • Annie Cuyt
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity of AntwerpAntwerpBelgium

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