Algorithm 277: Computation of Chebyshev series coefficients

@article{Smith1966Algorithm2C,
  title={Algorithm 277: Computation of Chebyshev series coefficients},
  author={Lyle B. Smith},
  journal={Commun. ACM},
  year={1966},
  volume={9},
  pages={86-87}
}
  • L. B. Smith
  • Published 1 February 1966
  • Mathematics
  • Commun. ACM
modification of the classical least squares method is utilized to approximate a solution to the system of nonlinear equations of condition. After every iteration, the statistic E squared is computed as a measure of the goodness of fit. Commencing with the second iteration, the successive values of E squared are differenced, and when the difference in absolute value becomes less than epsilon, the calculations cease. If the number of iterations necessary to achieve this result exceeds 1 max… 
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Truncation Errors in Two Chebyshev Series Approximations
However, in attempting to find a suitable polynomial approximation to a general function f(x), the integral occurring in equation (1.3) cannot be evaluated explicitly, and recourse has to be made to
A Comparison of ``Best'' Polynomial Approximations with Truncated Chebyshev Series Expansions
Introduction. In the numerical solution of mathematical problems it is common to represent a function of a real variable by the leading terms of its infinite Chebyshev series expansion. The purpose