Newton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spaces

dc.contributor.authorLin, Rongfeics
dc.contributor.authorZhao, Yueqingcs
dc.contributor.authorŠmarda, Zdeněkcs
dc.contributor.authorKhan, Yasircs
dc.contributor.authorWu, Qingbiaocs
dc.coverage.issue1cs
dc.coverage.volume2013cs
dc.date.issued2013-12-02cs
dc.description.abstractNewton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examplesen
dc.description.abstractNewton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations. The error estimate is determined to demonstrate the efficiency of our approach. The obtained results are illustrated with three examplesen
dc.formattextcs
dc.format.extent1-8cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAbstract and Applied Analysis. 2013, vol. 2013, issue 1, p. 1-8.en
dc.identifier.doi10.1155/2013/923898cs
dc.identifier.issn1085-3375cs
dc.identifier.orcid0000-0002-9559-6630cs
dc.identifier.other107627cs
dc.identifier.researcheridAAA-1702-2022cs
dc.identifier.scopus23973557200cs
dc.identifier.urihttp://hdl.handle.net/11012/193160
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofAbstract and Applied Analysiscs
dc.relation.urihttps://www.hindawi.com/journals/aaa/2013/923898/cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1085-3375/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
dc.subjectSmale uniform type of convergence theoremen
dc.subjectdeformed newton methoden
dc.subjectSmale uniform type of convergence theorem
dc.subjectdeformed newton method
dc.titleNewton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spacesen
dc.title.alternativeNewton-Kantorovich and Smale uniform type convergence theorem for a deformed Newton method in Banach spacesen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-107627en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:12en
sync.item.modts2025.10.14 09:55:57en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs

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