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: https://www.acm.org/pubs/calgo or NETLIB: https://www.netlib.org/toms/index.html.

Licensing:

The information on this web page is distributed under the MIT 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:

• toms446.f, the source code.
• toms446.sh, commands to compile the source code.