A two-point method for the numerical solution of systems of simultaneous equations

This paper is concerned with the problem, which arises frequently in practice, of finding one or more solutions of a set of n simultaneous equations <fi(xi , ■ • • , xn) -0, i = 1, • • • , n, in n unknowns Xi , • • • , x" .For convenience we shall assume, as is usually true in actual cases, that the functions