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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 8 | Year 2013 | Article Id. IJMTT-V4I8P3 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I8P3

Numerical Comparison of multi-step iterative methods for finding roots of nonlinear equations


Anup Kumar Thander, Goutam Mandal, Debjit Paul
Abstract

In this paper, we compare different multi-step Newton like methods for solving nonlinear equations. Results are shown in form of iteration tables. Numerical results show that the Modified Shamanskii Method performs either similarly or better in some cases with respect to some other Newton like multi -step iterative methods.

Keywords
Shamanskii Method, Ujević method, Numerical examples, nonlinear equations, Newton’s method.
References

[1] C.T. Kelly, Iterative Methods for Linear and Nonlinear Equations, SIAM,Philadelphia, PA, 1995.
[2] A.K.Thander, S.Paul and P.Maitra, An Improved Shamanskii Method for Finding Zeros of Linear and Nonlinear Equations, Applied Mathematical Sciences, Vol. 6(2012), no. 86, 4277-4281.
[3] M. Aslam Noor, F. Ahmad, Numerical comparison of iterative methods for solving nonlinear equations, J.Appl.Math.Comput., 180 (2006), 167-172.
[4] M. Aslam Noor, F. Ahmad, Sh. Javeed, Two-step iterative methods for nonlinear equations, J. Appl. Math. Computation. 181 (2006), 1068-1075.
[5] A.K.Thander, G.Mandal, Improved Ujević method for finding zeros of linear and nonlinear equations, International Journal of Mathematics Trends and Technology,Vol.3(2012), no.2, 74-77.

Citation :

Anup Kumar Thander, Goutam Mandal, Debjit Paul, "Numerical Comparison of multi-step iterative methods for finding roots of nonlinear equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 8, pp. 149-152, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I8P3

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