32-digit values of the first 100 recurrence coefficients for the 10th-order cardinal B-spline weight function
收藏DataCite Commons2025-12-18 更新2025-04-16 收录
下载链接:
https://purr.purdue.edu/publications/2250/1
下载链接
链接失效反馈官方服务:
资源简介:
<p>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=10, are computed by a multicomponent discretization procedure using the routine sr_cBspline_dis(34,32,100,10) called by run_cBspline.m. For details concerning the discretization, see Section 3 in Walter Gautschi, &quot;Polynomials orthogonal with respect to cardinal B-spline weight functions&quot;, Numerical Algorithms, submitted. The results obtained are in complete agreement with the thirty 20-digit recurrence coefficients given in Section 3 of Gradimir V. Milovanović, &quot;Symbolic-numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal B-spline&quot;, Numerical Algorithms, to appear. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients for arbitrary order m and for different precisions.</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-11-02



