摘要
通过改进四个三阶收敛的Newton迭代法得到一些新的方法来解非线性方程,并证明这些方法具有五阶收敛性.然后通过数值实例对文中的新方法和原来的三阶收敛迭代法进行比较,说明本文方法的有效性.
This paper employs a series of new iterative methods to solve nonlinear equations by improving four third-order Newton＇s methods, and proves their convergence is fifth-ordered. Numerical examples are given to show that the methods, compared with other iterative methods, have a significant improvement.
出处
《南阳师范学院学报》
CAS
2014年第3期9-11,17,共4页
Journal of Nanyang Normal University
关键词
非线性方程
迭代公式
收敛阶
non-linear equations
iterative formula
convergence
