摘要
在Smale的牛顿迭代的点估计中,逼近零点对判断迭代的收敛性具有很重要的作用.本文讨论了逼近零点的性质及与弱逼近零点的关系.同时,改进了Smale关于弱逼近零点的一个结果.最后,给出了逼近零点的收敛半径.
In the Smale's point estimates for Newton's iteration, an approximate zero play an important role for judgment of the convergence of iterative method (see [1]-[6]). In this paper the, properties of an approximate zero, and its relations with a weak approximate zero are discussed. Furthermore, a Smale's result on a weak approximate zero is improved and the radius of convergence of an approximate zero is given.
出处
《杭州大学学报（自然科学版）》
CSCD
1992年第2期132-138,共7页
Journal of Hangzhou University Natural Science Edition
基金
国家自然科学基金资助课题
关键词
点估计
弱逼近零点
逼近零点
point estimates
weak approximate zero
approximate zero
