32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=phi_m(x) on [0,m], m=2, are computed by a moment-based method using the routine sr_cBspline_cheb(100,2,dig,4,32), where dig=180 has been determined by the routine dig_Bspline_cheb(100,2,172,4,32). The results are in complete agreement with those produced by sr_Bspline_dis.m (cf. doi:10.4231/R74B2Z9Q), but are obtained more slowly by a factor of ten. For the moments, see Section 2 in Walter Gautschi, "Polynomials orthogonal with respect to cardinal B-spline weight functions", submitted for publication.
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Researchers should cite this work as follows:
- Gautschi, W. (2016). 32-digit values of the first 100 recurrence coefficients for the second-order cardinal B-spline weight function obtained from moments. Purdue University Research Repository. doi:10.4231/R7XG9P4B
The dataset consists of one text file and four Matlab scripts.