Description
32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=log((1+x)/(1-x)) on [0,1] are computed by a moment-based method using the routine sr_(dig,32,100), where dig=180 has been determined by the routine dig_slograt(100,172,4,32). The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for any desired precision. It requires Matlab release R2011b or later.
Cite this work
Researchers should cite this work as follows:
- Gautschi, W. (2017). 32-digit values of the first 100 recurrence coefficients for a logarithmic weight function with rational argument. Purdue University Research Repository. doi:10.4231/R7ST7MTX
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Notes
The dataset consists of one text file and four Matlab scripts. The scripts require Matlab release R2011b or later.