The use of Taylor series to test accuracy of function programs

  • Authors:
  • W. J. Cody;L. Stoltz

  • Affiliations:
  • Argonne National Labs, Argonne, IL;Argonne National Labs, Argonne, IL

  • Venue:
  • ACM Transactions on Mathematical Software (TOMS)
  • Year:
  • 1991

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Abstract

This paper discusses the use of local Taylor series expansions for determining the accuracy of computer programs for special functions. The main example is testing of programs for exponential integrals. Additional applicaitons include testing of programs for certain Bessel functions, Dawson's integral, and error functions.