On the Construction of Fast Steffensen-Type Iterative Methods for Nonlinear Equations-Reference-Cited by-同舟云学术

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

Published:2017-09-28 Issue:02 Volume:15 Page:1850002
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Kiyoumarsi Farshad¹

Affiliation:

1. Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876218500020

Reference22 articles.

1. Low-complexity root-finding iteration functions with no derivatives of any order of convergence

2. On generalized biparametric multipoint root finding methods with memory

3. A Family of Fourth Order Methods for Nonlinear Equations

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