中心差商公式变步长算法的计算终止条件

On Computing Termination Condition of Central Difference Quotient Formula with Variable Step Size Algorithm

正确的计算终止条件是利用中心差商公式变步长算法计算函数在给定点的一阶及二阶导数的前提.文章提出了计算结果满足精度要求和步长最接近最优步长两种计算终止条件,总结了两种算法的特点,并通过两个说明性算例对算法的有效性作了验证.

The correct computing termination condition is the premise of calculating the first and second derivatives of a function at a given point by using the central difference quotient formula with variable step size algorithm.In this study two computing termination conditions of the calculation result meet the requirement of accuracy and the step size is closest to the optimal step size.The features of the two computing termination conditions are summarized,and the effectiveness of the two algorithms is verified via two illustrative examples.