摘要
本文利用权函数方法给出了一类求解非线性方程单根的最优4阶收敛的迭代法。该方法每步迭代需要计算两个函数值和一个一阶导数值,因此该方法的效率指数为1.587。最后通过数值试验与其它方法进行了比较,显示了该方法的优越性。
In this paper,we present a new family of optimal fourth-order iterative methods for solving nonlinear equations by using weight function approach.Per iteration of the new method reaches optimal orders with two functional evaluations and one evaluation of first-order derivative,which implies that the efficiency indices of the new method is 1.587.Finally,numerical comparisons are made to show the performance of the presented methods,as shown in the illustration examples.
出处
《长春理工大学学报（自然科学版）》
2012年第3期114-116,119,共4页
Journal of Changchun University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金(11101051)
关键词
非线性方程
最优阶
4阶收敛
迭代法
求根
nonlinear equations
optimal order
fourth-order convergence
root-finding
