Description
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^mu*exp(-x^4/16) on [0,Inf], mu = 5, are computed by a moment-based method using the routine sr_schroedinger(dig,100,32,5), where dig = 156 has been determined by the routine dig_hrfreud(100,5,4,148,4,32). The software in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary exponent mu > -1 as well as 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 Schroedinger weight function with exponent mu=5. Purdue University Research Repository. doi:10.4231/R7QR4V3Z
Tags
Notes
The dataset consists of one text file and five Matlab scripts.