32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=log(1+exp(-x)) on [0,Inf] are computed by a 1-component discretization procedure using the routine sr_log1pe_0Inf(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_0Inf(100,280,4,32). It is that large because of apparent instabilities in the discretization process. Both routines, sr_log1pe_0Inf.m and dig_log1pe_0Inf.m, may take many hours to run, the latter as many as 19 hours, the former about 10 hours. The software in this dataset allows generating an arbitrary number N of recurrence coefficients to any precision.
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 Binet-like weight function. Purdue University Research Repository. doi:10.4231/R7736NX3
The dataset consists of one text file and seven Matlab scripts.