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subject: Computer Science

Total is 302 Results
32-digit values of the first 100 recurrence coefficients for an upper subrange Binet weight function

10.4231/R7JM27SS

Walter Gautschi

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

32-digit values of the first 100 recurrence coefficients for a lower subrange Binet weight function

10.4231/R7T151TH

Walter Gautschi

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

32-digit values of the first 100 recurrence coefficients for the half-range Binet weight function

10.4231/R7PC30HH

Walter Gautschi

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

Gauss quadrature and Christoffel function for cardinal B-spline weight functions

10.4231/EJ0W-TH50

Walter Gautschi

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

Software Repository for Gauss quadrature and Christoffel function

10.4231/78GE-EA31

Walter Gautschi

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

Orthogonal polynomials relative to a generalized Marchenko–Pastur measure

10.4231/7BZN-GM13

Walter Gautschi

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

Gauss quadrature and Christoffel function for the reciprocal gamma weight function

10.4231/XBCV-CD07

Walter Gautschi

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

Gauss quadrature and Christoffel function for a Gegenbauer weight function multiplied by an exponential function

10.4231/R5V5-TW63

Walter Gautschi

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

Gauss quadrature and Christoffel function for generalized Jacobi weight functions

10.4231/EF1B-1513

Walter Gautschi

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

32-digit values of the first 100 recurrence coefficients for the lower symmetric subrange Binet weight function on [-c,c], c=1

10.4231/R7KP80BB

Walter Gautschi

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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