@Article{JMS-48-79,
author = {Huang , Zhengda},
title = {On the Behavior of the Four Order Iteration in Euler's Family Near a Zero},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {1},
pages = {79--92},
abstract = {<p style="text-align: justify;">The aim of this paper is to study the local convergence of the four order
iteration of Euler&#39;s family for solving nonlinear operator equations. We get the optimal
radius of the local convergence ball of the method for operators satisfying the weak
third order generalized Lipschitz condition with L-average. We also show that the
local convergence of the method is determined by a period 2 orbit of the method itself
applied to a real function.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n1.15.06},
url = {http://global-sci.org/intro/article_detail/jms/9911.html}
}