TY  - JOUR
T1  - A Twelfth-Order Method to Solve Systems of Nonlinear Equations
AU - Hafiz, M.A. AU - Khirallah, M.Q. 
JO  - International Journal of Soft Computing
VL  - 11
IS  - 4
SP  - 270
EP  - 275
PY  - 2016
DA  - 2001/08/19
SN  - 1816-9503
DO  - ijscomp.2016.270.275
UR  - https://makhillpublications.co/view-article.php?doi=ijscomp.2016.270.275
KW  - Twelfth-order method
KW  -nonlinear system
KW  -iterative method
KW  -high order method
KW  -Newtons method
KW  -efficiency index
KW  -flops-like efficiency index
AB  - In this study, we present and analyze an iterative method of three steps using predictor corrector
technique for solving systems of nonlinear equations. Our aim is to achieve high order of convergence with
few Jacobian and functional evaluations. The analysis of convergence demonstrates that the order of
convergence for this method is twelve. We use the concerned the flops-like efficiency index and the classical
efficiency index in order to compare the obtained method with the previous literature. In addition, the proposed
method has been tested on a series of examples and has shown good results when compared it with the
previous literature.
ER  -