A New Family of Methods for Nonlinear Equations

被引：0
|
作者：
Zhang, Yuxin [1 ]
Ding, Hengfei [1 ]
He, Wansheng [1 ]
Yang, Xiaoya [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
来源：
INFORMATION COMPUTING AND APPLICATIONS | 2010年 / 6377卷
关键词：
Non-linear equations; Seventh-order iterative methods; Efficiency index; Order of convergence; Numerical results; 4TH-ORDER ITERATIVE METHODS; CONVERGENCE; VARIANTS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a family of seventh-order iterative methods for solving nonlinear equation is presented and analyzed. This family of seventh-order methods contains the Bi's seventh-order methods and many other seventh-order iterative methods as special cases. In terms of computational cost, per iteration the new methods require three evaluations of the function and one evaluation of its first derivative. Therefore their efficiency index is 1.627. The convergence of this family of methods is analyzed to establish its seventh-order convergence.
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页码：387 / 394
页数：8
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