fsolve


fsolve, a FORTRAN90 code which solves systems of nonlinear equations, inspired by the fsolve() function in MATLAB, and based on the minpack() minimization package.

Licensing:

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

Languages:

fsolve is available in a C version and a C++ version and a FORTRAN90 version.

Related Data and Programs:

brent, a FORTRAN90 code which contains Richard Brent's routines for finding the zero, local minimizer, or global minimizer of a scalar function of a scalar argument, without the use of derivative information.

fsolve_test

minpack, a FORTRAN90 code which solves systems of nonlinear equations, or the least squares minimization of the residual of a set of linear or nonlinear equations, by Jorge More, Danny Sorenson, Burton Garbow, Kenneth Hillstrom.

nms, a FORTRAN90 code which includes a wide variety of numerical software, including solvers for linear systems of equations, interpolation of data, numerical quadrature, linear least squares data fitting, the solution of nonlinear equations, ordinary differential equations, optimization and nonlinear least squares, simulation and random numbers, trigonometric approximation and Fast Fourier Transforms.

test_zero, a FORTRAN90 code which implements test problems for the solution of a single nonlinear equation in one variable.

Author:

Original FORTRAN77 version by Jorge More, Danny Sorenson, Burton Garbow, Kenneth Hillstrom. This FORTRAN90 version by John Burkardt.

Reference:

  1. Jorge More, Burton Garbow, Kenneth Hillstrom,
    User Guide for MINPACK-1,
    Technical Report ANL-80-74,
    Argonne National Laboratory, 1980.
  2. Jorge More, Danny Sorenson, Burton Garbow, Kenneth Hillstrom,
    The MINPACK Project,
    in Sources and Development of Mathematical Software,
    edited by Wayne Cowell,
    Prentice-Hall, 1984,
    ISBN: 0-13-823501-5,
    LC: QA76.95.S68.

Source Code:


Last revised on 07 April 2021.