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Two new methods for the evaluation of Chebyshev series on multiple points. (English. Chinese original) Zbl 1026.65001

Chin. J. Numer. Math. Appl. 24, No. 3, 61-66 (2002); translation from J. Numer. Methods Comput. Appl. 23 2002, No. 2, 105-110 (2002).
Summary: Two new methods are given here for the evaluation of Chebyshev series on multiple points, namely transforming method and odd-even-splitting method, both of them may take full use of the properties of the points to cut down the total complexity.

MSC:

65B10 Numerical summation of series
65D20 Computation of special functions and constants, construction of tables
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
33F05 Numerical approximation and evaluation of special functions
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