@Article{JMS-48-362,
author = {Argyros , Ioannis K. and George , Santhosh},
title = {Ball Convergence for Higher Order Methods Under Weak Conditions},
journal = {Journal of Mathematical Study},
year = {2015},
volume = {48},
number = {4},
pages = {362--374},
abstract = {<p style="text-align: justify;">We present a local convergence analysis for higher order methods in order
to approximate a locally unique solution of an equation in a Banach space setting. In
earlier studies, Taylor expansions and hypotheses on higher order Fréchet-derivatives
are used. We expand the applicability of these methods using only hypotheses on the
first Fréchet derivative. Moreover, we obtain a radius of convergence and computable
error bounds using Lipschitz constants not given before. Numerical examples are also
presented in this study.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v48n4.15.04},
url = {http://global-sci.org/intro/article_detail/jms/9941.html}
}