fsolve, a Fortran90 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.
The computer code and data files described and made available on this web page are distributed under the MIT license.
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.
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.
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.
Original Fortran77 version by Jorge More, Danny Sorenson, Burton Garbow, Kenneth Hillstrom. This version by John Burkardt.