OWF: Matlab programs for computing orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

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By Walter Gautschi

Purdue University

Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions

Version 1.0 - published on 23 Apr 2014 doi:10.4231/R7NK3BZ7 - cite this Archived on 25 Oct 2016

Licensed under CC0 1.0 Universal

Description

Software (in Matlab) is developed for computing variable-precision recurrence coefficients for orthogonal polynomials with respect to the weight functions 1 + sin(1/t), 1 + cos(1/t), e^{-1/t} on [0,1], as well as e^{-1/t-t} on [0, infinity] and e^{-1/t^2 - t^2} on [-infinity, infinity].

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Notes

This dataset contains 11 Matlab codes and 5 corresponding datasets.

Matlab

  • schebyshev.m
  • sr_sin0.m
  • intsin0.m
  • sr_cos0.m
  • intsin01.m
  • sr_exp0.m
  • intexp0.m
  • sr_exp0inf.m
  • intexp0inf.m
  • sr_expminfpinf.m
  • intexpminfpinf.m

Datasets

  • absin0
  • abcos0
  • abexpminfpinf
  • abexp0inf
  • abexp0

This is a companion piece to the paper: "Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals", Journal of Computational and Applied Mathematics 184 (2005), 493-504. doi: 10.1016/j.cam.2005.01.023.

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