摘要
牛顿法是求解非线性方程F(x)=0的一种经典方法。在一般假设条件下,牛顿法只具有局部收敛性。本文证明了一维凸函数牛顿法的全局收敛性,并且给出了它在全局优化积分水平集方法中的应用。
Newton method is a classical method to the nonlinear equation F(x)=0.It is well known that the Newton method is characterized as a local convergence algorithm.However we often meet some practical problems which require the function have the property of global convergence. In this paper, we provide global convergence results for Newton methods when the functions are convex functions of one dimension.
出处
《应用数学与计算数学学报》
2002年第2期68-72,共5页
Communication on Applied Mathematics and Computation
