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Nonlinear Numerical Methods and Rational Approximation II

  • Book
  • © 1994

Overview

Editors:
  1. Annie Cuyt

    1. Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium

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

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Table of contents (33 chapters)

  1. Front Matter

    Pages i-xviii
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  2. Orthogonal Polynomials

    1. Front Matter

      Pages 1-1
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    2. Zeros of Orthogonal and Biorthogonal Polynomials: Some Old, Some New

      • D. S. Lubinsky
      Pages 3-15

    3. Some Sequences Arising in the Creation of New Orthogonal Polynomials

      • Jet Wimp, Harry Kiesel
      Pages 17-24

    4. Convergence of Lagrange Interpolation for Freud Weights in Weighted L p (ℝ), 0 <P ≤ 1

      • D. M. Matjila
      Pages 25-35

    5. Orthogonality and Boundary Interpolation

      • Adhemar Bultheel, Pablo Gonzalez-Vera, Erik Hendriksen, Olav Njåstad
      Pages 37-47

    6. Breakdowns In The Computation Of Orthogonal Polynomials

      • C. Brezinski, M. Redivo-Zaglia
      Pages 49-59

    7. Recurrence Relations in the Table of Vector Orthogonal Polynomials

      • J. Van Iseghem
      Pages 61-69

    8. Gegenbauer-Sobolev Orthogonal Polynomials

      • Francisco Marcellán, Teresa E. Pérez, Miguel A. Piñar
      Pages 71-82

    9. Inverse Problems: Rational Modifications

      • A. Cachafeiro, C. Suárez
      Pages 83-96

    10. Normality and Error Formulae for Simultaneous Rational Approximants to Nikishin Systems

      • K. Driver, H. Stahl
      Pages 97-105

  3. Rational Interpolation

    1. Front Matter

      Pages 107-107
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    2. The Multipoint Padé Table and General Recurrences for Rational Interpolation

      • Martin H. Gutknecht
      Pages 109-135

    3. Matrix Rational Interpolation with Poles as Interpolation Points

      • M. Van Barel, B. Beckermann, A. Bultheel, G. Labahn
      Pages 137-148

    4. Padé-Type Approximants and Multivariate Polynomial Interpolation

      • Paul Sablonnière
      Pages 149-156
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Keywords

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.

Editors and Affiliations

  • Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium

    Annie Cuyt

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