Newton Method with Reverse Communication

NEWTON_RC is a FORTRAN77 program which is a simple demonstration of solving a system of nonlinear equations with Newton's method, using reverse communication (RC).


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 FORTRAN77 version.

Related Data and Programs:

BACKTRACK_BINARY_RC, a FORTRAN77 library which carries out a backtrack search for a set of binary decisions, using reverse communication (RC).

BISECTION_RC, a FORTRAN77 library 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 FORTRAN77 library which implements the conjugate gradient method for solving a positive definite sparse linear system A*x=b, using reverse communication (RC).

KELLEY, a MATLAB library which can seek solutions of systems of nonlinear equations.

MINPACK, a FORTRAN90 library which is a minimization package for which most of these problems were used as tests, as part of ACM TOMS algorithm 566.

SORT_RC, a FORTRAN77library which can sort a list of any kind of objects, using reverse communication (RC).

ZERO_RC, a FORTRAN77 library which seeks solutions of a scalar nonlinear equation f(x) = 0, or a system of nonlinear equations, using reverse communication (RC).


  1. James Ortega, Werner Rheinboldt
    Iterative Solution of Nonlinear Equations in Several Variables,
    SIAM, 1987,
    ISBN13: 978-0898714616,
    LC: QA297.8.O77.
  2. Werner Rheinboldt,
    Methods for Solving Systems of Nonlinear Equations,
    SIAM, 1998,
    ISBN: 089871415X,
    LC: QA214.R44.

Source Code:

Examples and Tests:

List of Routines:

You can go up one level to the FORTRAN77 source codes.

Last revised on 16 January 2013.