On Some Efficient Techniques for Solving Systems of Nonlinear Equations
Joint Authors
Gupta, Puneet
Sharma, Janak Raj
Source
Advances in Numerical Analysis
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-31
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We present iterative methods of convergence order three, five, and six for solving systems of nonlinear equations.
Third-order method is composed of two steps, namely, Newton iteration as the first step and weighted-Newton iteration as the second step.
Fifth and sixth-order methods are composed of three steps of which the first two steps are same as that of the third-order method whereas the third is again a weighted-Newton step.
Computational efficiency in its general form is discussed and a comparison between the efficiencies of proposed techniques with existing ones is made.
The performance is tested through numerical examples.
Moreover, theoretical results concerning order of convergence and computational efficiency are verified in the examples.
It is shown that the present methods have an edge over similar existing methods, particularly when applied to large systems of equations.
American Psychological Association (APA)
Sharma, Janak Raj& Gupta, Puneet. 2013. On Some Efficient Techniques for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-457604
Modern Language Association (MLA)
Sharma, Janak Raj& Gupta, Puneet. On Some Efficient Techniques for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-457604
American Medical Association (AMA)
Sharma, Janak Raj& Gupta, Puneet. On Some Efficient Techniques for Solving Systems of Nonlinear Equations. Advances in Numerical Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-457604
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457604