More efficient fifth-order method
for solving systems of nonlinear equations
Mona Narang1, Saurabh Bhatia2, V. Kanwar2*
1D.A.V. College, Chandigarh, 160010, India
2University Institute of Engineering
and Technology, Panjab University, Chandigarh 160014,
India.
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.
1. INTRODUCTION:
|
Received on 23.01.2015 Accepted
on 10.02.2015 ©A&V Publications all right reserved Research J. Engineering and Tech.
6(1): Jan.-Mar. 2015 page 212-222 DOI: 10.5958/2321-581X.2015.00032.X |
|