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Rational Approximation and Interpolation

Proceedings of the United Kingdom - United States Conference, held at Tampa, Florida, December 12-16, 1983

  • Conference proceedings
  • © 1984

Overview

Editors:
  1. Peter Russell Graves-Morris
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  2. Edward B. Saff
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  3. Richard S. Varga
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1105)

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Table of contents (43 papers)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. The faber operator

    • J. M. Anderson
    Pages 1-10

  3. Survey on recent advances in inverse problems of Padé approximation theory

    • G. López Lagomasino, V. V. Vavilov
    Pages 11-26

  4. Some properties and applications of Chebyshev polynomial and rational approximation

    • JC Mason
    Pages 27-48

  5. Polynomial, sinc and rational function methods for approximating analytic functions

    • Frank Stenger
    Pages 49-72

  6. Rational approximation of fractals

    • Michael F. Barnsley, Stephen G. Demko
    Pages 73-88

  7. On rational approximation of the exponential and the square root function

    • Dietrich Braess
    Pages 89-99

  8. Padé-type approximants and linear functional transformations

    • Claude Brezinski, Jeannette Van Iseghem
    Pages 100-108

  9. Continued fraction solution of the general Riccati equation

    • J. S. R. Chisholm
    Pages 109-116

  10. Order stars, contractivity and a pick-type theorem

    • Arieh Iserles
    Pages 117-124

  11. Bernstein and markov inequalities for constrained polynomials

    • Michael A. Lachance
    Pages 125-135

  12. Multivariate interpolation

    • G. G. Lorentz, R. A. Lorentz
    Pages 136-144

  13. The strong uniqueness constant in complex approximation

    • T. J. Rivlin
    Pages 145-149

  14. On the minimum moduli of normalized polynomials

    • S. Ruscheweyh, R. S. Varga
    Pages 150-159

  15. On the block structure of the Laurent-Padé table

    • A. Bultheel
    Pages 160-169

  16. Square blocks and equioscillation in the Padé, walsh, and cf tables

    • Lloyd N. Trefethen
    Pages 170-181

  17. Properties of Padé approximants to stieltjes series and systems theory

    • N. K. Bose
    Pages 182-188

  18. Degree of rational approximation in digital filter realization

    • Charles K. Chui, Xie-Chang Shen
    Pages 189-209

  19. Applications of schur fractions to digital filtering and signal processing

    • William B. Jones, Allan Steinhardt
    Pages 210-226

  20. A de montessus theorem for vector valued rational interpolants

    • P. R. Graves-Morris, E. B. Saff
    Pages 227-242
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Keywords

Bibliographic Information

  • Book Title: Rational Approximation and Interpolation

  • Book Subtitle: Proceedings of the United Kingdom - United States Conference, held at Tampa, Florida, December 12-16, 1983

  • Editors: Peter Russell Graves-Morris, Edward B. Saff, Richard S. Varga

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0072395

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1984

  • Softcover ISBN: 978-3-540-13899-0Published: 01 December 1984

  • eBook ISBN: 978-3-540-39113-5Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 530

  • Topics: Numerical Analysis

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