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dc.contributor.authorSharma, Debasisen_US
dc.contributor.authorKumar Parhi, Sanjayaen_US
dc.date.accessioned2022-01-17T23:52:58Z
dc.date.available2022-01-17T23:52:58Z
dc.date.issued2022
dc.identifier.citationSharma, D. & Kumar Parhi, S. (2022). Extending the applicability of a fourth-order method under Lipschitz continuous derivative in Banach spaces. TWMS Journal Of Applied And Engineering Mathematics, 314-328.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3410
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/114-vol12no1/815
dc.description.abstractWe extend the applicability of a fourth-order convergent nonlinear system solver by providing its local convergence analysis under Lipschitz continuous Fréchet derivative in Banach spaces. Our analysis only uses the first-order Fréchet derivative to ensure the convergence and provides the uniqueness of the solution, the radius of convergence ball and the computable error bounds. This study is applicable in solving such problems for which earlier studies are not effective. Furthermore, the convergence region for the scheme to approximate the zeros of various polynomials is studied using basins of attraction tool. Various computational tests are conducted to validate that our analysis is beneficial when prior studies fail to solve problems.en_US
dc.description.sponsorshipThe first author has been supported by the University Grants Commission, India.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectBanach spaceen_US
dc.subjectBasin of attractionen_US
dc.subjectIterative methodsen_US
dc.subjectLipschitz continuity conditionen_US
dc.subjectLocal convergenceen_US
dc.titleExtending the applicability of a fourth-order method under Lipschitz continuous derivative in Banach spacesen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume12
dc.identifier.issue1
dc.identifier.startpage314
dc.identifier.endpage328
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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