32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=exp(-exp(x)) on [0,Inf] are computed by a 4-component discretization procedure using the routine sr_hypexp(nofdig,N), with nofdig=32, N=100, and dig=36 entered when prompted. The value dig=36 has been determined by the routine dig_shypexp(100,34,2,32) (which may take as long as an hour to run). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for different precisions.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a half-range hyperexponential weight function. Purdue University Research Repository. doi:10.4231/R7JQ0Z1W
The dataset consists of one text file and seven Matlab scripts.