32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=|x|/(exp(2*π*|x|)+1) on [-Inf,Inf] are computed by a moment-based method using the routine sr_midpoint(dig,32,100), where dig=64 has been determined by the routine dig_midpoint(100,56,4,32). The respective moments can be derived by a simple transformation of variables from those in Exercise 2.29(a) of Walter Gautschi, "Orthogonal polynomials in MATLAB: Exercises and solutions", Software, Environment, Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary precisions.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for the midpoint weight function. Purdue University Research Repository. doi:10.4231/R7Z31WN1

  BibTex | EndNote

1. Computer Science
2. Computer Science (Dept)
3. Mathematics
4. Modification algorithms for orthogonal polynomials
5. Orthogonal polynomials
6. Walter Gautschi Archives
7. weight functions

The dataset consists of one text file and four Matlab scripts.