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Approximation and Computation: A Festschrift in Honor of Walter Gautschi

Proceedings of the Purdue Conference, December 2–5, 1993

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. R. V. M. Zahar

    1. Département d’informatique et de recherche opérationnelle, Université de Montréal, Montréal, Canada

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Part of the book series: International Series of Numerical Mathematics (ISNM, volume 119)

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Table of contents (38 papers)

  1. Front Matter

    Pages i-xlvi
    Download chapter PDF

  2. Gauss Elimination by Segments and Multivariate Polynomial Interpolation

    • C. de Boor
    Pages 1-22

  3. Quantization of the Gamma Function

    • Louis de Branges
    Pages 23-28

  4. Vector Orthogonal Polynomials of Dimension -d

    • C. Brezinski, J. Van Iseghem
    Pages 29-39

  5. An Extension of a Result of Rivlin on Walsh Equiconvergence (Faber Nodes)

    • R. Brück, A. Sharma, R. S. Varga
    Pages 41-66

  6. The Parallel Solution of Ordinary Differential Equations and Some Special Functions

    • J. C. Butcher
    Pages 67-76

  7. An Adaptive Semi-Iterative Method for Symmetric Semidefinite Linear Systems

    • D. Calvetti, L. Reichel, Q. Zhang
    Pages 77-96

  8. A Unified Approach to Recurrence Algorithms

    • J. R. Cash, R. V. M. Zahar
    Pages 97-120

  9. Quasi-Interpolation on Irregular Points

    • E. W. Cheney, Junjiang Lei
    Pages 121-135

  10. A Multigrid FFT Algorithm for Slowly Convergent Inverse Laplace Transforms

    • Germund Dahlquist
    Pages 137-156

  11. Sharp Bounds for the Lebesgue Constant in Quadratic Nodal Spline Interpolation

    • J. M. De Villiers, C. H. Rohwer
    Pages 157-168

  12. On the Error of Extended Gaussian Quadrature Formulae for Functions of Bounded Variation

    • Sven Ehrich
    Pages 169-178

  13. Simultaneous Diagonalization Algorithms with Applications in Multivariate Statistics

    • Bernard D. Flury, Beat E. Neuenschwander
    Pages 179-205

  14. On Some Approximations for the Zeros of Jacobi Polynomials

    • Luigi Gatteschi
    Pages 207-218

  15. Prediction and the Inverse of Toeplitz Matrices

    • I. Gohberg, H. J. Landau
    Pages 219-229

  16. Stable Look-Ahead Versions of the Euclidean and Chebyshev Algorithms

    • William B. Gragg, Martin H. Gutknecht
    Pages 231-260

  17. On the Approximation of Univalent Functions by Subordinate Polynomials in the Unit Disk

    • Richard Greiner, Stephan Ruscheweyh
    Pages 261-271

  18. Solutions to the Associated q-Askey-Wilson Polynomial Recurrence Relation

    • Dharma P. Gupta, David R. Masson
    Pages 273-284

  19. From Schrödinger Spectra to Orthogonal Polynomials Via a Functional Equation

    • Arieh Iserles
    Pages 285-307

  20. Inequalities and Monotonicity Properties for Gamma and q-Gamma Functions

    • Mourad E. H. Ismail, Martin E. Muldoon
    Pages 309-323
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Keywords

About this book

R. V. M. Zahar* The sixty-fifth birthday of Walter Gautschi provided an opportune moment for an international symposium in his honor, to recognize his many contributions to mathematics and computer sciences. Conceived by John Rice and sponsored by Purdue University, the conference took place in West Lafayette from December 2 to 5, 1993, and was organized around the four main themes representing Professor Gautschi's principal research interests: Approximation, Orthogonal Polynomials, Quadrature and Special Functions. Thirty-eight speakers - colleagues, co-authors, research collaborators or doctoral students of Professor Gautschi - were invited to present articles at the conference, their lectures providing an approximately equal representation of the four disciplines. Five invited speakers, Germund Dahlquist, Philip Davis, Luigi Gatteschi, Werner Rheinboldt and Stephan Ruscheweyh, were unable to present their talks because of illness or other commitments, although Professors Dahlquist, Gatteschi and Ruscheweyh subsequently contributed arti­ cles to these proceedings. Thus, the final program contained thirty-three technical lectures, ten of which were plenary sessions. Approximately eighty scientists attended the conference, and for some ses­ sions - in particular, Walter's presentation of his entertaining and informative Reflections and Recollections - that number was complemented by many visitors and friends, as well as the family of the honoree. A surprise visit by Paul Erdos provided one of the highlights of the conference week. The ambiance at the sym­ posium was extremely collegial, due no doubt to the common academic interests and the personal friendships shared by the participants.

Editors and Affiliations

  • Département d’informatique et de recherche opérationnelle, Université de Montréal, Montréal, Canada

    R. V. M. Zahar

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