High-level convergence order accelerators of iterative methods for nonlinear problems

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dc.creatorCordero, Alicia
dc.creatorRojas-Hiciano, Renso V.
dc.creatorTorregrosa, Rojas-Hiciano
dc.creatorVassileva, Maria P.
dc.date.accessioned2025-07-10T19:33:43Z
dc.date.available2025-07-10T19:33:43Z
dc.date.issued2025
dc.description.abstractWe present an efficient strategy to increase, under certain conditions, the order of convergence of iterative methods to solve nonlinear systems of equations. We analytically compare the new accelerator with others and establish the conditions under which this technique is more efficient. We perform an analysis of the efficiency of some one-step accelerators that increase the convergence order by two units. New concepts about efficiency are introduced which allow us to compare different iterative schemes from other points of view. We demonstrate that our proposal is a good alternative to the existing ones. As a consequence, we propose two new maximally efficient, damped Newton-Traub type schemes of order 5 and 6. These are an improvement of two other maximally efficient methods. Their numerical performance is better than that of known methods of the same order, and we find that it is a very economical way to achieve high order. Some numerical examples confirm the theoretical results.
dc.formatapplication/pdf
dc.format.extent22 páginas
dc.identifier.urihttps://repositoriobiblioteca.intec.edu.do/handle/123456789/14658
dc.language.isoInglés
dc.publisherElsevier B.V.
dc.publisher.placePaíses
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United Statesen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/
dc.subjectMétodos iterativos (Matemáticas)
dc.subjectSistemas no lineales
dc.subjectAnálisis numérico
dc.subjectEcuaciones integrales no lineales
dc.titleHigh-level convergence order accelerators of iterative methods for nonlinear problems
dc.typeArtículo
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