An algorithm for finding a solution of simultaneous nonlinear equations

In many practical problems the need for a solution of a set of simultaneous nonlinear algebraic equations arises. The problems will vary greatly from one discipline to another, but the basic mathematical formulation remains the same. A general digital computer solution for all sets of simultaneous nonlinear equations does not seem to exist at the present time; however, several recent techniques make the solution of certain systems more feasible than in the past.