Unified convergence domains of Newton-like methods for solving operator equations

dc.contributor.authorArgyros, I.K.
dc.contributor.authorGeorge, S.
dc.date.accessioned2020-03-31T08:48:19Z
dc.date.available2020-03-31T08:48:19Z
dc.date.issued2016
dc.description.abstractWe present a unified semilocal convergence analysis in order to approximate a locally unique zero of an operator equation in a Banach space setting. Using our new idea of restricted convergence domains we generate smaller Lipschitz constants than in earlier studies leading to the following advantages: weaker sufficient convergence criteria, tighter error estimates on the distances involved and an at least as precise information on the location of the zero. Hence, the applicability of these methods is extended. These advantages are obtained under the same cost on the parameters involved. Numerical examples where the old sufficient convergence criteria cannot apply to solve equations but the new criteria can apply are also provided in this study. � 2016 Elsevier Inc. All rights reserved.en_US
dc.identifier.citationApplied Mathematics and Computation, 2016, Vol.286, , pp.106-114en_US
dc.identifier.uri10.1016/j.amc.2016.04.010
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/13676
dc.titleUnified convergence domains of Newton-like methods for solving operator equationsen_US
dc.typeArticleen_US

Files