【摘要】 利用Newton迭代法和微分中值定理"中值点"的渐近性,给出了Newton迭代法的一个改进.此方法不必计算高阶导数值,但收敛速度却更高,具有至少三阶的收敛速度.最后,从数值试验可以看出,此方法是非常有效的.更多还原

【Abstract】 Based on the iterative method of Newton and the asymptotic point in the theorem of the mean,an improvement on the iterative method of Newton is given.The new iterative method has at least a 3-order convergence rate and without calculating 2-order derivatives.The numerical experience is given,which shows the effectiveness of this method.更多还原