| 关于逼近零点的几点注记 |
| |
| 引用本文： | 孙方裕. 关于逼近零点的几点注记[J]. 浙江大学学报(理学版), 1992, 19(2): 132-138 |
| |
| 作者姓名： | 孙方裕 |
| |
| 作者单位： | 杭州大学数学系 |
| |
| 基金项目： | 国家自然科学基金资助课题 |
| |
| 摘 要： | 在Smalc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.
|
| 关 键 词： | 点估计 弱逼近零点 逼近零点 |
Some Remarks on Approximate Zeros |
| |
| Sun Fangyu. Some Remarks on Approximate Zeros[J]. Journal of Zhejiang University(Sciences Edition), 1992, 19(2): 132-138 |
| |
| Authors: | Sun Fangyu |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | 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. |
| |
| Keywords: | point estimates weak approximate zero approximate zero |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
|
点击此处可从《浙江大学学报(理学版)》下载全文 |
