five

32-digit values of the first 100 recurrence coefficients for the Freud weight function with exponent 6

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DataCite Commons2025-12-18 更新2025-04-16 收录
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https://purr.purdue.edu/publications/1488/2
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资源简介:
<p>32-digit values of the first 100 recurrence coefficients for orthogonal polynomials relative to the weight function w(x)=x^mu*exp(-x^nu) on [-Inf,Inf], mu=0, nu=6 are computed by a moment-based method using the routine sr_freud(dig,32,100,0,6), where dig=88 has been determined by the routine dig_freud(100,0,6,80,4,32). For the respective moments, see Exercise 2.23(a) in Walter Gautschi, "Orthogonal polynomials in MATLAB: Exercises and Solutions", Software, Environments, and Tools, SIAM, Philadelphia, PA, 2016. The software provided in this dataset allows generating an arbitrary number N of recurrence coefficients with arbitrary exponents <span lang="el">μ</span> > -1, <span lang="el">ν</span> > 0, as well as for different precisions.</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-10-12
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