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Polynomial and continued-fraction approximations for logarithmic functions


Author: Kurt Spielberg
Journal: Math. Comp. 16 (1962), 205-217
MSC: Primary 65.20
DOI: https://doi.org/10.1090/S0025-5718-1962-0145645-6
MathSciNet review: 0145645
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References [Enhancements On Off] (What's this?)

  • [1] K. Spielberg, IB CTR, Chebyshev Truncation System, Writeup of Program, SHARE Distr. n. 1008.
  • [2] K. Spielberg, ``The representation of power series in terms of polynomials, rational approximations and continued fractions,'' J. Assoc. Comput. Mach., v. 8, 1961, p. 613. MR 0130102 (23:B3134)
  • [3] C. Hastings, Jr., Approximations for Digital Computers, Princeton Univ. Press, New Jersey, 1955. MR 0068915 (16:963e)
  • [4] E. G. Kogbetliantz, ``Generation of elementary functions,'' in Ralston & Wilf, Mathematical Methods for Digital Computers, John Wiley & Sons, Inc., New York, 1959. MR 0117907 (22:8681)
  • [5] E. G. Kogbetliantz, ``Papers on elementary functions,'' IBM J. Res. Develop. v. 1, n. 2; v. 2, n. 1; v. 2, n. 3; v. 3, n. 2; 1957-1959.
  • [6] K. Spielberg, ``Efficient continued fraction approximations to elementary functions,'' Math. Comp., v. 15, 1961, p. 409. MR 0134842 (24:B894)

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DOI: https://doi.org/10.1090/S0025-5718-1962-0145645-6
Article copyright: © Copyright 1962 American Mathematical Society

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