@Article{NMTMA-4-53,
author = {},
title = {On Newton's Method for Solving Nonlinear Equations and Function Splitting},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2011},
volume = {4},
number = {1},
pages = {53--67},
abstract = {<p style="text-align: justify;">We provided in [14] and [15] a
semilocal convergence analysis for Newton&#39;s method on a Banach space
setting, by splitting the given operator. In this study, we improve
the error bounds, order of convergence, and simplify the sufficient
convergence conditions. Our results compare favorably with the
Newton-Kantorovich theorem for solving equations.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2011.m99009},
url = {http://global-sci.org/intro/article_detail/nmtma/5958.html}
}