zero


zero, a Python code which finds a zero of a scalar function of a scalar variable, by Richard Brent.

The method does not require the use of derivatives, and does not assume that the function is differentiable.

Licensing:

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

Languages:

zero is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and an Octave version and a Python version and an R version.

Related Data and Programs:

asa047, a Python code which minimizes a scalar function of several variables using the nelder-mead algorithm.

bisection_rc, a Python code which seeks a solution to the equation f(x)=0 using bisection within a user-supplied change of sign interval [a,b]. the procedure is written using reverse communication (RC).

compass_search, a Python code which seeks the minimizer of a scalar function of several variables using compass search, a direct search algorithm that does not use derivatives.

local_min_rc, a Python code which finds a local minimum of a scalar function of a scalar variable, without the use of derivative information, using reverse communication (RC), by Richard Brent.

praxis, a Python code which minimizes a scalar function of several variables, without requiring derivative information, by Richard Brent.

test_zero, a Python code which defines some test functions for which zeroes can be sought.

toms178, a Python code which optimizes a scalar functional of multiple variables using the Hooke-Jeeves method.

zero_rc, a Python code which seeks a solution of a scalar nonlinear equation f(x) = 0, using reverse communication (RC), by Richard Brent.

Author:

Original FORTRAN77 version by Richard Brent; MATLAB version by John Burkardt.

Reference:

  1. Richard Brent,
    Algorithms for Minimization without Derivatives,
    Dover, 2002,
    ISBN: 0-486-41998-3,
    LC: QA402.5.B74.

Source Code:


Last revised on 30 May 2021.