fsolve


fsolve, a Fortran77 code which solves systems of nonlinear equations, inspired by the fsolve() function in minpack(), with special interfaces fsolve_bdf2(), fsolve_be() and fsolve_tr() for handling systems associated with implicit ODE solvers of type bdf2, backward Euler, midpoint, or trapezoidal.

Licensing:

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

Languages:

fsolve or fsolve_test is available in a C version and a C++ version and a Fortran77 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:

fsolve_test

brent, a Fortran77 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.

minpack, a Fortran77 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 Fortran77 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 Fortran77 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 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 26 October 2023.