ClenshawCurtisin
ClenshawCurtisin is a numerical method used for the efficient evaluation of a polynomial in Chebyshev series form. It is named after Charles Clenshaw and Curtis A. Smith, who independently developed the algorithm in the 1960s. The method is particularly useful in numerical analysis and computational mathematics for minimizing rounding errors and computational costs when evaluating polynomials.
A Chebyshev series is a form of expressing a polynomial as a sum of Chebyshev polynomials of
The primary advantage of the ClenshawCurtisin algorithm is its computational efficiency. It reduces the number of
The algorithm is widely used in various fields of numerical analysis, including numerical integration, solution of