The solution of the nonlinear equation/system of equations F(x)=0 sought is a limit of a sequence of elements, and each element can be generated based on the previous ones. Initial elements are supposed to be given. Usual iterative methods are the Newton method, the secant method, etc.
On an Aitken-Newton type method
Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…