32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=log(1+exp(-abs(x))) on [-Inf,Inf] are computed by a 2-component discretization procedure using the routine sr_log1pe(32,100), where dig=284 must be entered when prompted by the routine. The value 284 of dig has been determined by the routine dig_log1pe(100,280,4,32). It is that large because of apparent instabilities in the discretization process. Both routines, sr_log1pe.m and dig_log1pe.m, may take several hours to run, the latter as many as 5 hours, the former about 2.2 hours. The software in this dataset allows generating an arbitrary number N of recurrence coefficients to any precision.

Researchers should cite this work as follows:

• Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a Binet-like weight function. Purdue University Research Repository. doi:10.4231/R73B5X5B

  BibTex | EndNote

1. Binet-like weight functions
2. Computer Science
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 six Matlab scripts.