32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=erfc(x) on (0,Inf] are computed by a moment-based method using the routine sr_erfc(dig,32,100), where dig=140 has been determined by the routine dig_erfc(100,132,4,32). For the moments, see Exercise 2.31(a) in Walter Gautschi, "Orthogonal polynomials: exercises and solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. 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. (2016). 32-digit values of the first 100 recurrence coefficients for the coerror weight function. Purdue University Research Repository. doi:10.4231/R71J97Q6
The dataset consists of one text file and four Matlab scripts.