toms446


toms446, a FORTRAN77 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: http://www.acm.org/pubs/calgo or NETLIB: http://www.netlib.org/toms/index.html.

Licensing:

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

Languages:

toms446 is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.

Related Data and Programs:

toms446_test

bernstein_polynomial, a FORTRAN77 library which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

chebyshev_series, a FORTRAN77 library 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 FORTRAN77 library which computes interpolants by divided differences.

Author:

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

Reference:

  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 17 November 2023.