newton_rc, a MATLAB code which solves a system of nonlinear equations by Newton's method, using reverse communication (RC).
The Jacobian matrix is approximated using finite differences. A simple forward difference approximation is used here. However, this limits accuracy, and for some problems, can produce an estimate of the Jacobian that is poor, badly conditioned, or singular.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
newton_rc is available in a FORTRAN90 version and a MATLAB version.
backtrack_binary_rc, a MATLAB code which carries out a backtrack search for a set of binary decisions, using reverse communication (RC).
bisection_rc, a MATLAB 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).
cg_rc, a MATLAB code which implements the conjugate gradient method for solving a positive definite sparse linear system A*x=b, using reverse communication (RC).
fsolve_test, a MATLAB code which calls fsolve(), which solves systems of nonlinear equations, inspired by the fsolve() function in MATLAB, and based on the minpack() minimization package.
local_min_rc, a MATLAB 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.
root_rc, a MATLAB code which seeks a solution of a scalar nonlinear equation f(x) = 0, or a system of nonlinear equations, using reverse communication (RC), by Gaston Gonnet.
roots_rc, a MATLAB code which seeks a solution of a system of nonlinear equations f(x) = 0, using reverse communication (RC), by Gaston Gonnet.
sort_rc, a MATLAB code which can sort a list of any kind of objects, using reverse communication (RC).
zero, a MATLAB code which seeks a solution of a scalar nonlinear equation f(x) = 0, by Richard Brent.
zero_rc, a MATLAB code which seeks a solution of a scalar nonlinear equation f(x) = 0, using reverse communication (RC), by Richard Brent.