中文摘要：

提出一种新的求解一维无约束优化问题的高阶收敛方法,并给出其收敛性的证明。在迭代公式的推导过程中,使用目标函数f（x）的泰勒展式来近似其三阶导数。数值试验结果表明方法是有效的。

英文摘要：

A new higher-order convergence method for solving univariate and unconstrained optimization problems was presented,and the proof of the convergence properties was given.The iteration formula including an approximation of the third derivative of f（x） by using its Taylor series expansion was derived.The numerical experiment results show that the method is efficient.