A Fortran subroutine for solving systems of non-linear algebraic equations
Mjd Powell · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1968
A Fortran subroutine is described and listed for solving a system of non-linear algebraic equations. The method used to obtain the solution to the equations is a compromise between the Newton-Raphson algorithm and the method of steepest descents applied to minimize the function noted, for the aim is to combine a fast rate of convergence with steady progress. Some examples illustrate the technique, and they indicate that the given algorithm compares favorable with other numerical methods for solving non-linear equations.