Solution of Nonlinear Equations

Abstract—A new approach to solving a set of nonlinear equations, described by fi(x1, x2, . . ., xn) = 0, i= 1, 2, ..., n, is presented. The computation is carried out by simple matrix inversion and matrix multiplication without evaluation of ∂fi/∂xj. Thus, computation time is saved. The method converges rapidly if the initial approximation is close to the solution. A specific example, using nonlinear equations with two variables, shows the application of the method.