subject: Walter Gautschi Archives subject: Modification algorithms for orthogonal polynomials type: dataset
Total is 229 Results
OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions
10.4231/R7NG4NKC
10/28/2016
A stable and efficient discretization procedure is developed to compute recurrence coefficients for orthogonal polynomials whose weight function is a polynomial cardinal B-spline of order greater than, or equal to, one.
B-spline Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for an Airy weight function
10.4231/R7V122R6
10/19/2016
32-digit values of the first 100 recurrence coefficients for the (normalized) weight function w(x)=c*x^(-5/6)e^(-x)Ai((3x/2)^(2/3)) on [0,Inf], c=2^(-1/6)*3^(1/6)/pi^(1/2), where Ai is the Airy function
Airy weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Quadrature and cubature formulas Walter Gautschi Archives
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[(1-x^2/2)*(1-x^2)]^(-1/2) on [-1,1]
10.4231/R7HH6H1D
11/22/2016
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=((1-om2*x^2)*(1-x^2))^(-1/2) on [-1,1], om2=1/2
Chebyshev weight function Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
RMOP: Repeated modifications of orthogonal polynomials
10.4231/R7F18WNB
04/23/2014
Matlab routines and data sets that compute repeated modifications of orthogonal polynomials
Computer Science Gaussian quadrature Gaussian quadrature of functions having poles Jacobi polynomials Logarithmic weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Numerical integrations Orthogonal polynomials Software source code Walter Gautschi Archives
OPQ: A Matlab suite of programs for generating orthogonal polynomials and related quadrature rules
10.4231/R7959FHP
03/29/2017
This is a set of Matlab codes and data files for generating orthogonal polynomials and related quadrature rules.
Computer Science Gauss-type quadrature rules Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Software source code Variable-precision arithmetic Walter Gautschi Archives
Modified squared Abel polynomials
10.4231/R78C9T8V
02/14/2017
Matlab routine for the first N recurrence coefficients of modified squared Abel polynomials
Abel polynomials Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Variable-precision computation Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 1, 1/2, 1/2, -3/2
10.4231/R7W66HSK
02/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function (inverse Gaussian distribution) w(x)=const*x^d*exp(-b/x^a-c*x^a) on [0,Inf], const=exp(1)/√(2*π), a=1, b=c=1/2, d=-3/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters a=1/3, b=c=1/2, d=-7/6
10.4231/R7RF5S1T
02/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=const*x^d*exp(-b/x^a-c*x^a), const=exp(1)/(3*√(2*pi)), a=1/3, b=c=1/2, d=-7/6
Computer Science Mathematics Modification algorithms for orthogonal polynomials moment-based method Orthogonal polynomials Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 1/2
10.4231/R72R3PP7
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=1/2
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Pollaczek weigh function Walter Gautschi Archives weight functions
32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 10
10.4231/R76H4FFD
02/27/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=exp(-(1-x^2)^(-a)) on [-1,1], a=10
Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Pollaczek weigh function Walter Gautschi Archives weight functions
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