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An Efficient Family of Traub-Steffensen-Type Methods for Solving Systems of Nonlinear Equations
Joint Authors
Gupta, Puneet
Sharma, Janak Raj
Source
Advances in Numerical Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Based on Traub-Steffensen method, we present a derivative free three-step family of sixth-order methods for solving systems of nonlinear equations.
The local convergence order of the family is determined using first-order divided difference operator for functions of several variables and direct computation by Taylor's expansion.
Computational efficiency is discussed, and a comparison between the efficiencies of the proposed techniques with the existing ones is made.
Numerical tests are performed to compare the methods of the proposed family with the existing methods and to confirm the theoretical results.
It is shown that the new family is especially efficient in solving large systems.
American Psychological Association (APA)
Sharma, Janak Raj& Gupta, Puneet. 2014. An Efficient Family of Traub-Steffensen-Type Methods for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-449947
Modern Language Association (MLA)
Sharma, Janak Raj& Gupta, Puneet. An Efficient Family of Traub-Steffensen-Type Methods for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-449947
American Medical Association (AMA)
Sharma, Janak Raj& Gupta, Puneet. An Efficient Family of Traub-Steffensen-Type Methods for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-449947
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449947