中文摘要：

为求出非线性方程的根，利用待定系数法构造一族含参数三阶牛顿迭代格式，讨论该格式的构造过程，分析该格式的收敛性。在数值算例中，针对不同非线性方程，运用该迭代格式讨论参数对迭代次数的影响，并与Newton法以及其它三种同阶算法对比，新算法具有较好的优势。

英文摘要：

To solve the nonlinear equation,a family of third-order Newton-Type iterative method with parameters is constructed by using the method of undetermined coefficients.In this paper,the construction process of the scheme is discussed and its convergence analysis is given.In the numerical examples,the impact of parameters on the number of iterations for different nonlinear equation is explored.Compared with the Newton method and the other three algorithms of the same order,the new algorithm has a better advantages.