These are the proceedings of the international conference on Nonlinear Numerical Methods and Rational Approximation Ii, which Dr. Cuyt organized at the University of Antwerp, Belgium, 5--11 September 1992.
The conference focused on the use of rational functions in different fields of numerical analysis. The invited speakers discussed five main topics, which are represented by the five sections of this book: orthogonal polynomials, rational interpolation, rational approximation, Pad� approximation and continued fractions. Multivariate and multidimensional problems, application and implementations of each main topic are also considered.
For specialists in the field of nonlinear numerical methods and rational approximation.

Contenuti:

Orthogonal Polynomials.- Zeros of orthogonal and biorthogonal polynomials: some old, some new.- Some sequences arising in the creation of new orthogonal polynomials.- Convergence of Lagrange interpolation for Freud weights in weighted LP(IR),0 accuracy-through-order and the equivalence properties in the algebraic approximant.- On the vector-valued Pad� approximants and the vector ?- algorithm.- Quadrature formulas on the unit circle and two-point Pad� approximation.- Continued fractions.- A survey of truncation error analysis for Pad� and continued fraction approximants.- Truncation error bounds for limit K-periodic continued fractions.- Continued fractions for the symmetric strong Stieltjes moment problem.- Observations on indeterminate Stieltjes moment problems.- A family of classical determinate Stieltjes moment problems with discrete solutions.- Convergence criteria of two-dimensional continued fractions.- First order linear recurrence systems and general N-fractions.

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