32-digit values of the first 100 recurrence coefficients for a Binet-like weight function

Listed in Datasets

By Walter Gautschi

Purdue University

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=log(1+exp(-abs(x))) on [-Inf,Inf]

Version 1.0 - published on 31 May 2017 doi:10.4231/R73B5X5B - cite this Archived on 02 Jul 2017

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)=log(1+exp(-abs(x))) on [-Inf,Inf] are computed by a 2-component discretization procedure using the routine sr_log1pe(32,100), where dig=284 must be entered when prompted by the routine. The value 284 of dig has been determined by the routine dig_log1pe(100,280,4,32). It is that large because of apparent instabilities in the discretization process. Both routines, sr_log1pe.m and dig_log1pe.m, may take several hours to run, the latter as many as 5 hours, the former about 2.2 hours. The software in this dataset allows generating an arbitrary number N of recurrence coefficients to any precision.

Cite this work

Researchers should cite this work as follows:

Tags

Notes

The dataset consists of one text file and six 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).