Orthogonal Polynomials, Quadrature, and Approximation PDF
Preview Orthogonal Polynomials, Quadrature, and Approximation
Orthogonal Polynomials, Quadrature, and Approximation: Computational Methods and Software (in Matlab) Walter Gautschi [email protected] Purdue University OPQA–p.1/99 Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials OPQA–p.2/99 Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) OPQA–p.2/99 Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) OPQA–p.2/99 Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) OPQA–p.2/99 Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) OPQA–p.2/99 Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) OPQA–p.2/99 Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) OPQA–p.2/99 Moment-based algorithm (cid:15) Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials OPQA–p.2/99 Discretization algorithm (cid:15) Zeros (cid:15) Orthogonal Polynomials Recurrence coefficients (cid:15) Modified Chebyshev algorithm (cid:15) Discrete Stieltjes and Lanczos algorithm (cid:15) Discretization methods (cid:15) Cauchy integrals of orthogonal polynomials (cid:15) Modification algorithms (cid:15) Sobolev Orthogonal Polynomials Moment-based algorithm (cid:15) OPQA–p.2/99
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