摘要
研究了求解非线性方程的三种迭代方法:经典牛顿迭代、五阶牛顿迭代及九阶牛顿迭代.通过设置不同的初始点,详细对比了三种迭代法的收敛性.
Three iterative methods of solving nonlinear equations are studied,which are classical Newton's iteration,Newton's iteration with fifth-order convergence,and Newton's iteration with ninth-order convergence.By setting different initial points,convergences of three iterative methods are compared.
作者
雍龙泉
YONG Longquan(School of Mathematics and Computer Science,Shaanxi University of Technology,Hanzhong 723001,China)
出处
《高等数学研究》
2020年第1期76-79,共4页
Studies in College Mathematics
基金
国家自然科学基金(11401357)
关键词
非线性方程
经典牛顿迭代
五阶牛顿迭代
九阶牛顿迭代
初始点
nonlinear equation
Newton's iteration
fifth-order convergence
ninth-order convergence
initial point
