关键词: 非线性方程, ChebyshevHalley迭代方法, 收敛阶, 二阶导数

Abstract:

We presented a family of modified ChebyshevHalley iterative methods for nonlinear equations, the methods avoid calculating the second derivative, and have thirdorder convergent at least, if we choose some values of the parameters, these methods will be of order four. Several examples were given to illustrate the efficiency and stability of the new methods.

Key words: nonlinear equations, ChebyshevHalley iterative methods, order of convergence, the second derivative