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" Applications and Computation of Orthogonal Polynomials : "
by Walter Gautschi, Gerhard Opfer, Gene H. Golub.
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BL
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| Record Number
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717524
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b537211
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by Walter Gautschi, Gerhard Opfer, Gene H. Golub.
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Applications and Computation of Orthogonal Polynomials : : Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998\ by Walter Gautschi, Gerhard Opfer, Gene H. Golub.
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| Publication Statement
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Basel: Birkhäuser Basel, 1999
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| Series Statement
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International series of numerical mathematics, 131.
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(282 pages)
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| ISBN
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3034886853
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: 9783034886857
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| Contents
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The sensitivity of least squares polynomial approximation --;Transpose-free look-ahead algorithms for Lanczos' 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 --;Müntz orthogonal polynomials and their numerical evaluation --;Positivity of Gauss-Kronrod formulae for a certain ultraspherical weight function --;A Christoffel-Darboux-type formula for Szegö 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.
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| Abstract
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This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.
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Mathematics.
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Gene H Golub
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Gerhard Opfer
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Walter Gautschi
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