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- Walter Gautschi 287
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10.4231/R7JM27SS

08/14/2017

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-x)) on [c,Inf], c=1, are computed by a moment-based method using the routine sr_usrbinet(dig,100,1,32), where dig=128 has b...

Binet-like weight functions Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7T151TH

08/14/2017

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-x)) on [0,c], c=1, are computed by a moment-based method using the routine sr_lsrbinet(dig,100,1,32), where dig=528 has bee...

Binet-like weight functions Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R7PC30HH

08/14/2017

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-x)) on [0,Inf] are computed by a moment-based method using the routine sr_hrbinet(dig,100), where dig=124 has been determin...

Binet-like weight functions Computer Science Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/EJ0W-TH50

05/26/2020

MATLAB software is provided for generating to any given accuracy n-point Gauss quadrature rules, n ≥ 1, relative to cardinal B-spline weight functions as well as approximations and respective errors for the quadrature weights and for the Christoffel functi...

B-spline Christoffel function Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/78GE-EA31

05/29/2020

This series is a software repository for Gaussian quadrature and the related Christoffel function. Two major objectives are to make Gauss quadrature rules, for a large variety of weight functions, easily accessible; to document and illustrate appro...

Christoffel function Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/7BZN-GM13

07/30/2020

A number of Matlab functions are provided that allow the computation to full double precision of the three-term recurrence coefficients for orthogonal polynomials relative to a generalized Marchenko–Pastur probability measure. They implement three differen...

Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Modified Chebyshev algorithm Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/XBCV-CD07

01/12/2021

Matlab software is provided for generating to any given accuracy n-point Gauss quadrature rules, n ≥ 1, relative to the reciprocal gamma weight function as well as approximations and respective errors for the quadrature weights and for the Christoffel fun...

Christoffel function Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/R5V5-TW63

01/12/2021

Matlab software is provided for generating to any given accuracy n-point Gauss quadrature rules, n ≥ 1, relative to a Gegenbauer weight function multiplied by an exponential function as well as approximations and respective errors for the quadrature weight...

Christoffel function Computer Science Gaussian quadrature Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

10.4231/EF1B-1513

01/12/2021

Matlab software is provided for generating to any given accuracy n-point Gauss quadrature rules, n ≥ 1, relative to generalized Jacobi weight functions as well as approximations and respective errors for the quadrature weights and for the Christoffel func...

Christoffel function Computer Science Gaussian quadrature Jacobi weight functions Mathematics Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives

10.4231/R7KP80BB

01/10/2018

32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=-log(1-exp(-|x|)) on [-c,c], c=1, are computed by a moment-based method using the routine sr_lssrbinet(dig,32,100,1), where dig=468 has...

Binet weight function Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions

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