toms446, a MATLAB code which implements ACM TOMS algorithm 446, for the manipulation of Chebyshev series, by Roger Broucke.

The text of many ACM TOMS algorithms is available online through ACM: or NETLIB:


The computer code and data files described and made available on this web page are distributed under the MIT license


toms446 is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:


bernstein_polynomial, a MATLAB code which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

chebyshev, a MATLAB code which computes the Chebyshev interpolant/approximant to a given function over an interval.

chebyshev_series, a MATLAB code which can evaluate a Chebyshev series approximating a function f(x), while efficiently computing one, two or three derivatives of the series, which approximate f'(x), f''(x), and f'''(x), by Manfred Zimmer.

divdif, a MATLAB code which computes interpolants by divided differences.

hermite_polynomial, a MATLAB code which computes the Hermite interpolant, a polynomial that matches function values and derivatives.

spline, a MATLAB code which can construct and evaluate spline interpolants and approximants.

test_approx, a MATLAB code which defines test functions for approximation and interpolation.


Original FORTRAN77 version by Roger Broucke; Matlab version by John Burkardt.


  1. Roger Broucke,
    Algorithm 446: Ten Subroutines for the Manipulation of Chebyshev Series,
    Communications of the ACM,
    October 1973, Volume 16, Number 4, pages 254-256.

Source Code:

Last revised on 01 March 2019.