%0 Journal Article
%T Some variants of Newton's method with fifth-order and four-order convergence for solving nonlinear equations
%A Yao-tang Li
%A Ai-quan Jiao
%J International Journal of Applied Mathematics and Computation
%D 2009
%I PSIT Kanpur
%X Chun's two-step predictor-corrector type iterative method for solving nonlinear equations (Iterative Methods Improving Newton's Method by the Decomposition Method, J . Comput. Math. Appl.50, 1559-1568 ) is improved and a kind of new iterative method is presented. Some present methods derived from Adomian Decomposition method are unified in a form and a series of new methods with high convergence order and the value of EFF are obtained by introducing parameter also. Those methods can be considered as a significant improvement of the Newton's method and its variant forms.
%U http://ijamc.psit.in/ijamc/index.php/ijamc/article/view/14