Local Convergence for an Improved Jarratt-type Method in Banach Space

dc.creatorArgyros, Ioannis K
dc.creatorGonzález, Daniel
dc.date.accessioned2020-06-10T10:15:33Z
dc.date.accessioned2023-03-07T19:27:07Z
dc.date.available2020-06-10T10:15:33Z
dc.date.available2023-03-07T19:27:07Z
dc.date.created2020-06-10T10:15:33Z
dc.identifier1989-1660
dc.identifierhttps://reunir.unir.net/handle/123456789/10161
dc.identifierhttps://doi.org/10.9781/ijimai.2015.343
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5904501
dc.description.abstractWe present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given using hypotheses up to the first Fréchet derivative in contrast to earlier studies using hypotheses up to the third Fréchet derivative. Numerical examples are also provided in this study, where the older hypotheses are not satisfied to solve equations but the new hypotheses are satisfied.
dc.languageeng
dc.publisherInternational Journal of Interactive Multimedia and Artificial Intelligence (IJIMAI)
dc.relation;vol. 3, nº 4
dc.relationhttps://www.ijimai.org/journal/bibcite/reference/2503
dc.rightsopenAccess
dc.subjectJarratt-type methods
dc.subjectNewton’s method
dc.subjectbanach space
dc.subjectlocal convergence
dc.subjectIJIMAI
dc.titleLocal Convergence for an Improved Jarratt-type Method in Banach Space
dc.typearticle


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