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Some New Variants of Cauchy's Methods for Solving Nonlinear Equations
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We present and analyze some variants of Cauchy's methods free from second derivative for obtaining simple roots of nonlinear equations.
The convergence analysis of the methods is discussed.
It is established that the methods have convergence order three.
Per iteration the new methods require two function and one first derivative evaluations.
Numerical examples show that the new methods are comparable with the well-known existing methods and give better numerical results in many aspects.
American Psychological Association (APA)
Liu, Tianbao& Li, Hengyan. 2012. Some New Variants of Cauchy's Methods for Solving Nonlinear Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993853
Modern Language Association (MLA)
Liu, Tianbao& Li, Hengyan. Some New Variants of Cauchy's Methods for Solving Nonlinear Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-993853
American Medical Association (AMA)
Liu, Tianbao& Li, Hengyan. Some New Variants of Cauchy's Methods for Solving Nonlinear Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-993853
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993853