A New Sixth Order Method for Nonlinear Equations in R
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-23
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
A new iterative method is described for finding the real roots of nonlinear equations in R.
Starting with a suitably chosen x 0 , the method generates a sequence of iterates converging to the root.
The convergence analysis is provided to establish its sixth order of convergence.
The number of iterations and the total number of function evaluations used to get a simple root are taken as performance measure of our method.
The efficacy of the method is tested on a number of numerical examples and the results obtained are summarized in tables.
It is observed that our method is superior to Newton’s method and other sixth order methods considered.
American Psychological Association (APA)
Singh, Sukhjit& Gupta, D. K.. 2014. A New Sixth Order Method for Nonlinear Equations in R. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1051469
Modern Language Association (MLA)
Singh, Sukhjit& Gupta, D. K.. A New Sixth Order Method for Nonlinear Equations in R. The Scientific World Journal No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-1051469
American Medical Association (AMA)
Singh, Sukhjit& Gupta, D. K.. A New Sixth Order Method for Nonlinear Equations in R. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-1051469
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051469