摘要
给出了牛顿迭代法的一种修正形式,并证明了当r≠1/2时修正的牛顿迭代法是二阶收敛的,当参数r=1/2时是三阶收敛的,数值实验表明,与经典牛顿迭代法相比,该修正牛顿迭代法具有一定的优势。
This paper gives a variant Newton＇s Iteration method and proves the order convergence of the variant method .The orders of convergence of the variant method is three,when the parameter r is equal to 1/2. The orders of convergence of the variant method is two,when the parameter r is not equal to 1/2.In the end,numerical tests show that the variant method has some more advantages than the Newton＇s Iteration method.
出处
《长春理工大学学报（自然科学版）》
2010年第1期178-179,共2页
Journal of Changchun University of Science and Technology(Natural Science Edition)
关键词
牛顿迭代
收敛阶
数值试验
Newton＇s iteration method
order of convergence
numerical test
