cpr

cpr, a MATLAB code which implements the Chebyshev Proxy Rootfinder (CPR) to locate all the real zeros of a smooth real function f(x) within an interval [a,b], by John Boyd.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

cpr is available in a MATLAB version and an Octave version and a Python version.

Related Programs:

cpr_test

zero_brent, a MATLAB code which seeks a solution of a scalar nonlinear equation f(x) = 0, by Richard Brent.

zero_muller, a MATLAB code which seeks a root of a nonlinear equation using the Muller method, with complex arithmetic.

Author:

Original MATLAB version by John Boyd. This version by John Burkardt.

Reference:

• John Boyd,
  Solving Transcendental Equations, The Chebyshev Polynomial Proxy and other Numerical Rootfinders, Perturbation Series, and Oracles,
  SIAM, 2014,
  ISBN: 978-1-611973-51-8,
  LC: QA:353.T7B69

Source Code:

• cpr.m, uses the Chebyshev Proxy Rootfinder to retrieve all real zeros of a smooth real function in an interval [a,b].