You may have heard that PURR may be down temporarily this Thursday (10/17) for maintenance. The maintenance is being rescheduled, and we do not expect to have any downtime this week. We will let you know when the maintenance has been rescheduled. close

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

Listed in Datasets

By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=phi_m(x) on [0,m], m=2

Version 1.0 - published on 01 Dec 2016 doi:10.4231/R74B2Z9Q - cite this Archived on 02 Jan 2017

Licensed under Attribution 3.0 Unported


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 multicomponent discretization procedure using the routine sr_cBspline_dis(dig,32,100,2) called with the commands 'global dig; dig=34', where dig=34 has been determined by the routine dig_Bspline_dis(100,2,32,2,32), attesting to the high stability of the multicomponent discretization procedure. The results are in complete agreement with those produced by sr_cBspline_cheb.m (cf. doi:10.4231/R7 . . . ), but are obtained ten times as fast. For details concerning the discretization, see Section 3 in Walter Gautschi, "Polynomials orthogonal with respect to cardinal B-spline weight functions", Numerical Algorithms, submitted. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary order m and for different precisions.

Cite this work

Researchers should cite this work as follows:



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

The Purdue University Research Repository (PURR) is a university core research facility provided by the Purdue University Libraries, the Office of the Executive Vice President for Research and Partnerships, and Information Technology at Purdue (ITaP).