Title | Applications and Computation of Orthogonal Polynomials [electronic resource] : Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998 / edited by Walter Gautschi, Gerhard Opfer, Gene H. Golub |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1999 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8685-7 |
Descript | XIII, 273 p. online resource |
The sensitivity of least squares polynomial approximation -- Transpose-free look-ahead algorithms for Lanczosโ method -- Applications of anti-Gauss quadrature rules in linear algebra -- Stieltjes polynomials and the error of Gauss-Kronrod quadrature formulas -- Fast solution of confluent Vandermonde-like linear systems using polynomial arithmetic -- On discrete polynomial least-squares approximation in moving time windows -- Quadrature rules based on s-orthogonal polynomials for evaluating integrals with strong singularities -- Gegenbauer weight functions admitting L2 Duffin and Schaeffer type inequalities -- Questions related to Gaussian quadrature formulas and two-term recursions -- Construction and computation of a new set of orthogonal polynomials -- Fourier transforms of orthogonal polynomials of singular continuous spectral measures -- On a sequence of fast decreasing polynomial operators -- Mรผntz orthogonal polynomials and their numerical evaluation -- Positivity of Gauss-Kronrod formulae for a certain ultraspherical weight function -- A Christoffel-Darboux-type formula for Szegรถ polynomials and polynomial evaluation -- Applications of tensor-valued tri-variate Hermite polynomials and spherical harmonics in the kinetic theory of gases -- Indeterminate moment problems and a conjecture on the growth of the entire functions in the Nevanlinna parametrization -- Spectral methods based on nonclassical orthogonal polynomials -- Author index