Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators

dc.creatorAmat, Sergio
dc.creatorBusquier, Sonia
dc.creatorBermúdez, Concepción
dc.creatorMagreñán, Á. Alberto (1)
dc.date.accessioned2017-10-09T16:08:33Z
dc.date.accessioned2023-03-07T19:14:21Z
dc.date.available2017-10-09T16:08:33Z
dc.date.available2023-03-07T19:14:21Z
dc.date.created2017-10-09T16:08:33Z
dc.identifier1999-4893
dc.identifierhttps://reunir.unir.net/handle/123456789/5696
dc.identifierhttp://dx.doi.org/10.3390/a8030669
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5900463
dc.description.abstractThis paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Frechet differentiability on the operator, a variant using divided differences is also analyzed. A variant of the method using only divided differences is also presented.
dc.languageeng
dc.publisherAlgorithms
dc.relation;vol. 8, nº 3
dc.relationhttp://www.mdpi.com/1999-4893/8/3/669
dc.rightsopenAccess
dc.subjectNewton type methods
dc.subjectthird order
dc.subjectsemilocal convergence
dc.subjectcentered hypotheses
dc.subjectdivided differences
dc.subjectEmerging
dc.subjectScopus
dc.titleExpanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
dc.typeArticulo Revista Indexada


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