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SRJAC: Sub-range Jacobi polynomials

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By Walter Gautschi

Purdue University

Matlab routines for computing sub-range Jacobi polynomials within the sub interval of [-1, 1]

Version 1.0 - published on 23 Apr 2014 doi:10.4231/R7JS9NCR - cite this Archived on 25 Oct 2016

Licensed under CC0 1.0 Universal

Description

Orthogonal polynomials relative to the Jacobi weight function, but orthogonal on a strict subinterval of [-1, 1] are studied, in particular with regard to their numerical computation. Related Gaussian quadrature rules are also considered.

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Notes

This dataset contains 14 Matlab codes and files:

  • mcdis.m
  • fejer.m
  • stieltjes.m
  • lanczos.m
  • chebyshev.m
  • quadgp.m
  • gauss.m
  • r_subjacobi.m
  • r_subjacobi0.m
  • transG.m
  • trigauss.m
  • testFV.m
  • runsubjac.m
  • circle_thm.m

This serves as a companion piece to the paper "Sub-range Jacobi polynomials", Numerical Algorithms, 2012, Volume 61, Issue 4, pp. 649-657. doi: 10.1007/s11075-012-9556-z.

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