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

  IJMTT-book-cover
 
International Journal of Mathematical Trends and Technology (IJMTT)          
 
© 2013 by IJMTT Journal
Volume-4 Issue-8                           
Year of Publication : 2013
Authors : Anup Kumar Thander, Goutam Mandal, Debjit Paul

MLA

Anup Kumar Thander, Goutam Mandal, Debjit Paul"Numerical Comparison of multi-step iterative methods for finding roots of nonlinear equations"International Journal of Mathematical Trends and Technology (IJMTT),V4(8):149-152 2013. Published by Seventh Sense Research Group.

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.

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.

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