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dc.contributor.authorAmorós, Cristina (1)
dc.contributor.authorArgyros, Ioannis K
dc.contributor.authorGonzález, Daniel
dc.contributor.authorMagreñán, Á. Alberto
dc.contributor.authorRegmi, Samundra
dc.contributor.authorSarría, Íñigo (1)
dc.date2020-01
dc.date.accessioned2020-05-26T07:29:46Z
dc.date.available2020-05-26T07:29:46Z
dc.identifier.issn2227-7390
dc.identifier.urihttps://reunir.unir.net/handle/123456789/10096
dc.description.abstractThere is a need to extend the convergence domain of iterative methods for computing a locally unique solution of Banach space valued operator equations. This is because the domain is small in general, limiting the applicability of the methods. The new idea involves the construction of a tighter set than the ones used before also containing the iterates leading to at least as tight Lipschitz parameters and consequently a finer local as well as a semi-local convergence analysis. We used Newton's method to demonstrate our technique. However, our technique can be used to extend the applicability of other methods too in an analogous manner. In particular, the new information related to the location of the solution improves the one in previous studies. This work also includes numerical examples that validate the proven results.es_ES
dc.language.isoenges_ES
dc.publisherMathematicses_ES
dc.relation.ispartofseries;vol. 8, nº 1
dc.relation.urihttps://www.mdpi.com/2227-7390/8/1/103es_ES
dc.rightsopenAccesses_ES
dc.subjectdomaines_ES
dc.subjectNewton’s methodes_ES
dc.subjectimprovementes_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleNew Improvement of the Domain of Parameters for Newton’s Methodes_ES
dc.typeArticulo Revista Indexadaes_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.3390/math8010103


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