32-digit values of the first 100 recurrence coefficients for the Jacobi weight function on [0,1] with exponents -1/2 times a logarithmic factor
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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)=(1-x)^a*x^b*log(1/x) on [0,1], a=b=-1/2, are
computed by a moment-based method using the routine sr_jaclog(dig,32,100,-1/2,-1/2),
where dig=180 has been determined by the routine dig_jaclog(100,-1/2,-1/2,172,4,32).
For the moments, see Section 3.1 in Walter Gautschi, "Gauss quadrature routines
for two classes of logarithmic weight functions", Numerical Algorithms 55 (2010),
265-277. doi: 10.1007/s11075-010-9366-0. The software provided in this dataset allows generating an arbitrary number
N of recurrence coefficients for arbitrary a &gt; -1, b &gt; -1, as well as for different precisions.</p>
提供机构:
Purdue University Research Repository
创建时间:
2016-10-19



