Rational Chebyshev approximations for the error function
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- by W. J. Cody PDF
- Math. Comp. 23 (1969), 631-637 Request permission
Abstract:
This note presents nearly-best rational approximations for the functions erf $(x)$ and erfc $(x)$, with maximal relative errors ranging down to between $6 \times {10^{ - 19}}$ and $3 \times {10^{ - 20}}$.References
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J. F. Hart, et al., Computer Approximations, Siam Series in Appl. Math., Wiley, New York, 1968.
- Cecil Hastings Jr., Approximations for digital computers, Princeton University Press, Princeton, N. J., 1955. Assisted by Jeanne T. Hayward and James P. Wong, Jr. MR 0068915 C. W. Clenshaw, Chebyshev Series for Mathematical Functions, National Physical Lab. Math. Tables, vol. 5, H.M.S.O., London, 1962. MR 26 #362.
- W. J. Cody, Handbook Series Methods of Approximation: Rational Chebyshev approximation using linear equations, Numer. Math. 12 (1968), no. 4, 242–251. MR 1553964, DOI 10.1007/BF02162506
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Math. Comp. 23 (1969), 631-637
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1969-0247736-4
- MathSciNet review: 0247736