中文摘要：

提出了Newton迭代法的一种新的改进格式,并证明了适当选取参数α,r能使改进的Newton迭代法具有三阶收敛性。最后用数值算例,说明了此改进方法优于经典的Newton迭代法和通常的修正Newton迭代法。

英文摘要：

A new improved Newton iteration method is given,and proven the order convergence of the improved method.The order convergence of the improved method is three,when the parameters α,r are suitable.In the end,a numerical example is given to show that the new improved Newton iteration method is superior to the Newton iteration method and usual improved methods.