A numerical algorithm dealing with solutions of equations with one variable may not be extended to solve nonlinear systems with n unknowns. Even when such extensions are possible, properties of these two similar algorithms are, in general, different. In [2] a perturbed iterative scheme (PIS) has been developed to solve nonlinear equations with one variable. Its properties with regard to nonlinear systems were analyzed in [1]. Here these properties were extended to n -coupled nonlinear systems.