@Article{JMS-48-4,
author = {K., Ioannis, Argyros and Santhosh, George},
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 = {https://global-sci.com/article/87836/ball-convergence-for-higher-order-methods-under-weak-conditions}
}