subject: Matlab subject: Orthogonal polynomials
Total is 61 Results
OCVdM: Optimally conditioned Vandermonde matrices
10.4231/R7TB14TB
04/23/2014
Matlab routines for computing optimally conditioned Vandermonde matrices
Computer Science Condition Numbers Guassian Quadrature Logarithmic weight functions Mathematics Matlab Orthogonal polynomials Singular value decomposition Software source code Vandermonde matrices Walter Gautschi Archives
HOGGRL: High-order generalized Gauss-Radau and Gauss-Lobatto Formulae for Jacobi and Laguerre weight functions
10.4231/R7G15XSQ
04/23/2014
Matlab source codes and files that compute the high-order Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions
Computer Science High-order generalized Gauss–Radau and Gauss–Lobatto quadrature formulae Jacobi weight functions Laguerre weight functions Mathematics Matlab Orthogonal polynomials Software source code Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for a lower subrange Binet weight function
10.4231/R7CN71XS
05/31/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=-log(1-exp(-x)) on [0,1]
Binet-like weight functions Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
SOPQ: Symbolic OPQ
10.4231/R7MW2F3P
02/20/2020
This includes symbolic versions of some of the more important OPQ routines.
Airy weight function Bose-Einstein distribution Chebyshev-type quadratures Classical weight functions Computer Science Fermi Dirac weight Function Freud weight function Gauss-type quadrature rules Hermite weight function Jacobi weight functions K-Bessel weight function Laguerre weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Perl Script quadrature Software source code Walter Gautschi Archives Walter Gautschi Selected Works
32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac weight function
10.4231/R7HQ3WW3
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[1/(exp(x)+1)]^r on [0,Inf], r=1
Computer Science Equation Table Fermi Dirac weight Function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for an algebraically/logarithmically singular weight function on (0,1)
10.4231/R7862DD9
10/12/2016
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=(1-x)^-1/2}x^1/2}log(1/x) on (0,1)
Computer Science Equation Table Gauss-Radau formula Jacobi polynomials Jacobi weight functions Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 10
10.4231/R74F1NPK
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=10
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 4
10.4231/R7VX0DHD
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=4
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 8
10.4231/R7R78C5Q
11/29/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=8
Computer Science Equation Table Freud polynomials Freud weight function Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the Bose-Einstein weight function
10.4231/R7MG7MGF
11/30/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[x/(exp(x)-1)]^r on [0,Inf], r=1
Bose-Einstein distribution Computer Science Equation Table Gaussian quadrature Mathematics Matlab OPQ routine Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
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