摘要
为求出非线性方程组的解,根据四点Newton-Cotes求积开公式,给出一种六阶的牛顿迭代方法,并分析该方法的收敛性.在数值算例中,针对不同的非线性方程组,运用该方法与现有几种迭代方法的实验结果进行比较,结果表明该方法具有较好的优势.
To solve the nonlinear equation, a family of sixth- order Newton- Type iterative method was constructed by using the method of the four point Newton-Cotes the quadrature＇s open formula. And then we analyzed that these new methods were of the convergence of four-order. In the numerical examples, the results of this paper are compared with the Newton method and other kinds of algorithms, which suggest that the new algorithm has the better advantages.
作者
张辉
陈豫眉
周琴
Zhang Hui;Chen Yumei;Zhou Qin(School of Mathematics and Information, China West Normal University, 637009, Nanchong,Sichuan, Chin)
出处
《山东师范大学学报（自然科学版）》
CAS
2017年第4期37-44,共8页
Journal of Shandong Normal University(Natural Science)
基金
四川省教育厅自然科学重点项目(15ZA0149)
非自治神经网络研究团队研究项目(CXTD205-12)
