32-digit values of the first 100 recurrence coefficients for the second-order cardinal B-spline weight function obtained from moments

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By Walter Gautschi

Purdue University

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

Version 1.0 - published on 05 Dec 2016 doi:10.4231/R7XG9P4B - cite this Archived on 06 Jan 2017

Licensed under Attribution 3.0 Unported

Description

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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The dataset consists of one text file and four Matlab scripts.

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