32-digit values of the first 100 recurrence coefficients for the coerror weight function

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By Walter Gautschi

Purdue University

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

Version 1.0 - published on 26 Oct 2016 doi:10.4231/R71J97Q6 - cite this Archived on 13 Dec 2016

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)=erfc(x) on (0,Inf] are computed by a moment-based method using the routine sr_erfc(dig,32,100), where dig=140 has been determined by the routine dig_erfc(100,132,4,32). For the moments, see Exercise 2.31(a) in Walter Gautschi, "Orthogonal polynomials: 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 for different precisions.

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

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