subject: Orthogonal polynomials subject: Matlab
10.4231/R7NK3BZ7
04/23/2014
Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions
Computer Science Densely oscillating weight functions Exponentially decaying weight functions Gaussian quadrature Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives
10.4231/R7QJ7F7V
04/23/2014
Matlab and FORTRAN codes to evaluate a densely and wildly oscillatory integral that had been proposed as a computational problem in the SIAM 100-Digit Challenge.
Computer Science FORTRAN Gauss quadrature approximation Jacobi weight functions Mathematics Matlab Numerical Evaluation Orthogonal polynomials Oscillatory integrals Software source code Walter Gautschi Archives
10.4231/R7V985Z5
04/23/2014
Bernstein’s inequality for Jacobi polynomials is analyzed here analytically and computationally with regard to validity and sharpness
Bernstein’s inequality Computer Science Erdelyi–Magnus–Nevai conjecture Jacobi polynomials Mathematics Matlab Orthogonal polynomials Sharpness Software source code Walter Gautschi Archives
10.4231/R7KS6PH4
04/23/2014
Inequalities for the largest zero of Jacobi polynomials are here extended to all zeros of Jacobi polynomials, and new relevant conjectures are formulated.
Computer Science Gauss quadrature approximation Inequalities Jacobi polynomials Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives zeros
10.4231/R7T151VZ
11/02/2017
Loading a text file of variable-precision recurrence coefficients into Matlab symbolic or double-precision arrays
Computer Science Jacobi weight functions Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives
10.4231/R7JM27SS
08/14/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=-log(1-exp(-x)) on [c,Inf], c=1
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 the weight function w(x)=-log(1-exp(-x)) on [0,c], c=1
Binet-like weight functions Computer Science Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R76D5R5W
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=8
Computer Science Freud weight function Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R72N50FJ
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=10
Computer Science Freud weight function Mathematics Matlab Modification algorithms for orthogonal polynomials Orthogonal polynomials Walter Gautschi Archives weight functions
10.4231/R7B56GW6
10/23/2017
32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^mu*exp(-x^nu) on [0,Inf], mu=0, nu=6
Computer Science Freud weight function Mathematics Matlab Orthogonal polynomials Walter Gautschi Archives weight functions
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