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.

## A new optimal method of order four of Hermite–Steffensen type

Abstract We introduce a new method for solving nonlinear equations in R, which uses three function evaluations at each step…