On the Construction of Fast Steffensen-Type Iterative Methods for Nonlinear Equations

被引：3
|
作者：
Kiyoumarsi, Farshad [1 ]
机构：
[1] Islamic Azad Univ, Shahrekord Branch, Fac Basic Sci, Shahrekord, Iran
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2018年 / 15卷 / 02期
关键词：
High efficiency; iterative methods; R-order; super fast; self-accelerating parameter; MEMORY; ORDER;
D O I：
10.1142/S0219876218500020
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper aims at providing new modifications of Steffensen's scheme for solving nonlinear equations. The new general approach is discussed in detail theoretically. It is observed that a super fast R-order along with an interesting computational efficiency index will be achieved. Dynamical behaviors of the schemes are given to show an enlarged radii of convergence. Some experiments are also brought forward to support the given theory.
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页数：15
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