HOMOCENTRIC CONVERGENCE BALL OF THE SECANT METHOD

被引:0
|
作者
Liang Kewei Dept.of Math.
机构
关键词
secant method; semi-local convergence theorem; local convergence theorem; convergence ball; homocentric ball;
D O I
暂无
中图分类号
O241 [数值分析];
学科分类号
070102 ;
摘要
A local convergence theorem and five semi-local convergence theorems of the secant method are listed in this paper.For every convergence theorem,a convergence ball is respectively introduced,where the hypothesis conditions of the corresponding theorem can be satisfied.Since all of these convergence balls have the same center x;,they can be viewed as a homocentric ball. Convergence theorems are sorted by the different sizes of various radii of this homocentric ball, and the sorted sequence represents the degree of weakness on the conditions of convergence theorems.
引用
收藏
页码:353 / 365
页数:13
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