Volume No. :   6

Issue No. :  1

Year :  2015

ISSN Print :  0976-2973

ISSN Online :  2321-581X


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More efficient fifth-order method for solving systems of nonlinear equations



Address:   Mona Narang1, Saurabh Bhatia2, V. Kanwar2*
1D.A.V. College, Chandigarh, 160010, India
2University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, India.
DOI No:

ABSTRACT:
In this paper, we present a one-parameter family of fifth-order methods by extending Nedzhibov’s third-order methods for solving systems of nonlinear equations. For a particular value of parameter, the new fifth-order method is more efficient as compared to the existing methods as its computational cost is less. Further, it requires two function evaluations, two first order Fr´echet derivatives and one matrix inversion per iteration. Numerical examples confirm that the proposed method is highly efficient and useful in solving systems of nonlinear equations.
KEYWORDS:
System of nonlinear equations, Order of convergence, Newton’s Method, Higher order methods, Computational efficiency.
Cite:
Mona Narang, Saurabh Bhatia, V. Kanwar. More efficient fifth-order method for solving systems of nonlinear equations. Research J. Engineering and Tech. 6(1): Jan.-Mar. 2015 page 212-222.
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