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Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations
Joint Authors
Vásquez-Aquino, Juan
Fernández-Torres, Gustavo
Source
Advances in Numerical Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We present new modifications to Newton's method for solving nonlinear equations.
The analysis of convergence shows that these methods have fourth-order convergence.
Each of the three methods uses three functional evaluations.
Thus, according to Kung-Traub's conjecture, these are optimal methods.
With the previous ideas, we extend the analysis to functions with multiple roots.
Several numerical examples are given to illustrate that the presented methods have better performance compared with Newton's classical method and other methods of fourth-order convergence recently published.
American Psychological Association (APA)
Fernández-Torres, Gustavo& Vásquez-Aquino, Juan. 2013. Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations. Advances in Numerical Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-511360
Modern Language Association (MLA)
Fernández-Torres, Gustavo& Vásquez-Aquino, Juan. Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations. Advances in Numerical Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-511360
American Medical Association (AMA)
Fernández-Torres, Gustavo& Vásquez-Aquino, Juan. Three New Optimal Fourth-Order Iterative Methods to Solve Nonlinear Equations. Advances in Numerical Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-511360
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511360