@Article{EAJAM-7-396,
author = {Yang Li and Xue-Ping Guo},
title = {Semilocal Convergence Analysis for MMN-HSS Methods under Hölder Conditions},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {7},
number = {2},
pages = {396--416},
abstract = {<p style="text-align: justify;">Multi-step modified Newton-HSS (MMN-HSS) methods, which are variants
of inexact Newton methods, have been shown to be competitive for solving large sparse
systems of nonlinear equations with positive definite Jacobian matrices. Previously, we
established these MMN-HSS methods under Lipschitz conditions, and we now present a
semilocal convergence theorem assuming the nonlinear operator satisfies milder Hölder
continuity conditions. Some numerical examples demonstrate our theoretical analysis.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.260416.270217a},
url = {http://global-sci.org/intro/article_detail/eajam/10756.html}
}