"Numerical and Symbolic algorithms" 1998


Universidad Carlos III de Madrid

Leganés, June 29, 30, July 1,2 1998

"Numerical and Symbolic algorithms"

General Information

Dear Colleagues,

It is well known the increasing attention paid in the last years to the theory of Orthogonal Polynomials. In particular since their applications in a lot of different areas like numerical integration, spectral methods, interpolation, approximation theory, etc. Also in combinatorics, mathematical physics, quantum physics, etc. For this reason the Universidad Carlos III de Madrid organizes every two years an international workshop devoted to this topic. The first edition in 1992 was dedicated to Sobolev orthogonal polynomials, in 1994 to polynomials orthogonal in the unit circle, and the last one IWOP'96 , held in 1996, to the applications of orthogonal polynomials in mathematical physics.

The main aim of the 1998's edition of the Workshop was that a reduced number of invited mathematicians discuss and review recent progress of the Theory of Orthogonal Polynomials with special emphasis in the numerical applications and simbolic algorithms. The Workshop took place in the main building of the Escuela Politécnica Superior, (room 2F01, located in the second floor of the building) Universidad Carlos III de Madrid, Leganés (Madrid).

The topics considered were:

There were 12 plenary lectures and 28 short communications. The titles can be found below.

How to get Escuela Politécnica Superior

The best way to get the Escuela Politécnica Superior is by using the trains Cercanias which can be reach from Atocha Railway Station Cercanias Line C5 (direction Fuenlabrada) and leave the train in the Station Leganés (not in Zarzaquemada!) which is at 5 min. waking fron the University. Please see a scheme of getting to the University Campus , or if you prefer, see a more detailed map

For more details click here

IWOP98: Main menu

  • Invited speakers
  • Registration fee
  • Hotel Information
  • The Proceedings
  • The Organizing Committee
  • The Scientific Committee
  • Program
  • Invited talks
  • Short Communications
  • Abstracts
  • Participants

  • Invited speakers

    The Organizing Committee

    The Organizing Committee was:

    The Scientific Committee

    The Scientific Committee was:

    The Proceedings

    The Proceedings of the Workshop have been appeared as a special issue of Electronic Transactions on Numerical Analysis (ETNA) (see the URL site


    The Calendar (preliminar)

    On Monday, June 29, at 9:00 was be the registration and the Openning session.
    (*) On Wednesday, July 1, at 13:30 took place a symbolic-software presentation by
    Addlink Software Científico.
    TimeMondayTuesdayWednesday Thursday
    9:30 Koepf Koepf Golub Golub
    10:30 Gautschi Gautschi Zeilberger Zeilberger
    11:30 Break Break Break Break
    12:00 Calvetti Yáñez Alvarez Lagomasino
    12:30 Perea Yakhlef García Pasquini (*)
    13:00 Salam P. López Fernández Lorente
    16:00 Petkovsek Petkovsek Maday Maday
    17:00 Reichel Mastroianni González-Vera Ruano
    17:30 Break Break Break Break
    17.45 Milovanovic Medem Bello Gil
    18:15 Fuchs Ricci Kravanja Segura
    18:45 Cala Costa Lewanowicz Bogatirev

    Invited talks (50 min.)


    1. Walter Gautschi, Orthogonal Polynomials and Quadrature and Rational Gauss-type Quadrature Rules
    2. Gene Golub, Bounds for the Entries of Matrix Functions with Applications to Preconditioning and Inverting Shape From Moments
    3. Wolfram Koepf, Software for the Algorithmic Work with Orthogonal Polynomials and Special Functions
    4. Yvon Maday, The Basic spectral element and mortar element methods for elliptic problems and The spectral element methods for resolution of the Stokes and Navier-Stokes problems
    5. Marko Petkovsek, Linear Operators and Compatible Polynomial Bases
    6. Doron Zeilberger, The Unreasonable Power of Orthogonal Polynomials in Combinatorics I and II

    Short Communications (25 min.)


    1. María Alvarez de Morales Non-standard orthogonality for Meixner polynomials
    2. Manuel Bello Zero distribution of orthogonal polynomials with respect to varying measures on the unit circle
    3. Andrei B. Bogatyrev On construction of polynomials least deviating from zero on a system of segments
    4. Francisco Cala Rodríguez Quadrature Formulas for Rational Functions
    5. Daniela Calvetti Estimation of the L-curve via Lanczos bidiagonalization
    6. Cecilia Costa Quaternion Block Tridiagonal System
    7. María Victoria Fernández-Muñoz Bernstein--Sobolev operators
    8. Erich Fuchs Algorithms to compute polynomials orthogonal with respect to non-standard discrete inner products
    9. Esther García Caballero Sobolev orthogonal polynomials: Interpolation and Approximation
    10. Amparo Gil A Numerical Algorithm for Parabolic Cylinder Functions
    11. Pablo González-Vera Product Integration Rules on the Unit Circle
    12. Peter Kravanja On locating clusters of zeros of analytic functions
    13. Stanislaw Lewanowicz Recurrence relations for the coefficients of the Fourier series expansions with respect to the classical orthogonal polynomials
    14. Guillermo López Lagomasino Approximation of Transfer Functions of Infinite-Dimensional Dynamical Systems by Rational Functions with Prescribed Poles
    15. Pedro López Riesz's theorem and the Nevanlinna parametrization for Orthogonal Matrix Polynomials
    16. Miguel Lorente Creation and annihilation operators for orthogonal polynomials of discrete and continuous variables
    17. Giuseppe Mastroianni Numerical evaluation of integral transforms on the real line with singular or weakly singular kernels
    18. Juan C. Medem On semiclasical polynomials: A singular distributional equation
    19. Gradimir Milovanovic Generalized Quadratures and Muntz Polynomials
    20. Lionello Pasquini ``Priori" Estimates of Eigenvalues Conditioning by Spectral Portraits
    21. Carmen Perea Some results on nonnegative splittings of second type
    22. Lothar Reichel Computation of Gauss-Kronrod quadrature rules
    23. Paolo E. Ricci An iterative method for computing the eigenvalues of second kind Fredholm operators and applications
    24. Jorge Ruano Algebraic properties of hypergeometric-type functions. A computer algebra approach
    25. Ahmed Salam A new generalization of Lanczos type methods related to the vector orthogonal polynomials
    26. Javier Segura Evaluation of Associated Legendre Functions Off the Cut
    27. Hossain O. Yakhlef On Orthogonal Matrix Polynomials
    28. Rafael J. Yáñez Connection coefficients for discrete hypergeometric type polynomials on uniform and non-uniform lattices


    Click here to see the abstracts of the invited lectures. The abstracts of the short communications will be included in the Book of Abstracts. The abstracts are also available in postscript format


    Click here to see the participants.

    To get more information please contact with:

    R. Álvarez-Nodarse (*) and F. Marcellán (**)

    Maintained by Renato Álvarez-Nodarse: E-Mail: