@Article{EAJAM-7-482,
author = {Rong-Fei Lin, Qing-Biao Wu, Min-Hong Chen, Lu Liu and Ping-Fei Dai},
title = {Semilocal Convergence Theorem for a Newton-Like Method},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {3},
pages = {482--494},
abstract = {<p style="text-align: justify;">The semilocal convergence of a third-order Newton-like method for solving
nonlinear equations is considered. Under a weak condition (the so-called γ-condition)
on the derivative of the nonlinear operator, we establish a new semilocal convergence
theorem for the Newton-like method and also provide an error estimate. Some numerical
examples show the applicability and efficiency of our result, in comparison to other
semilocal convergence theorems.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.090816.270317a},
url = {http://global-sci.org/intro/article_detail/eajam/10760.html}
}