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General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods
Joint Authors
Source
Advances in Numerical Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-31
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A general scheme of third order convergence is described for finding multiple roots of nonlinear equations.
The proposed scheme requires one evaluation of f, f′, and f′′ each per iteration and contains several known one-point third order methods for finding multiple roots, as particular cases.
Numerical examples are included to confirm the theoretical results and demonstrate convergence behavior of the proposed methods.
In the end, we provide the basins of attraction for some methods to observe their dynamics in the complex plane.
American Psychological Association (APA)
Sharma, Janak Raj& Bahl, Ashu. 2014. General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods. Advances in Numerical Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-511896
Modern Language Association (MLA)
Sharma, Janak Raj& Bahl, Ashu. General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods. Advances in Numerical Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-511896
American Medical Association (AMA)
Sharma, Janak Raj& Bahl, Ashu. General Family of Third Order Methods for Multiple Roots of Nonlinear Equations and Basin Attractors for Various Methods. Advances in Numerical Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-511896
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511896