The Convergence Ball and Error Analysis of the Relaxed Secant Method

被引：0
|
作者：
Lin, Rongfei [1 ]
Wu, Qingbiao [2 ]
Chen, Minhong [3 ]
Liu, Lu [2 ]
机构：
[1] Taizhou Univ, Dept Math, Linhai 317000, Zhejiang, Peoples R China
[2] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China
[3] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310012, Zhejiang, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2017年 / 2017卷
基金：
中国国家自然科学基金; 浙江省自然科学基金;
关键词：
CONTINUOUS DIVIDED DIFFERENCES; NEWTON-LIKE METHODS; NONDIFFERENTIABLE EQUATIONS; OPERATOR-EQUATIONS; BANACH-SPACES; THEOREM;
D O I：
10.1155/2017/6976205
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A relaxed secant method is proposed. Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order. The error estimate is also established with matched convergence order. From the radius and error estimate, the relation between the radius and the speed of convergence is discussed with parameter. At last, some numerical examples are given..
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页数：7
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