摘要
本文给出了关于非线性方程求根的几个结果 .先给出迭代法整体收敛的一个充分条件 ,并利用它证明了牛顿法整体收敛的一个结果 ,然后讨论割线法及两个新的近似牛顿法的收敛性 。
In this paper is reported several results obtained from the solution of nonlinear equations in one variable.At first a sufficient condition for global convergence is given for the iterative method,to be used to prove a global convergence for Newton's method.Then the convergency of the secant method and of the two new methods for Newton's approximation is discussed,with numerical examples given for the latter.
出处
《汕头大学学报(自然科学版)》
2002年第2期5-11,共7页
Journal of Shantou University:Natural Science Edition
关键词
非线性代数方程
根
迭代法
牛顿法
收敛速度
nonlinear equation
iterative method
Newton's method
convergence rate