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Optimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamics

dc.contributor.authorChand, Prem Bahadur
dc.contributor.authorChicharro, Francisco Israel
dc.contributor.authorJain, Pankaj
dc.contributor.authorSethi, Kriti
dc.date2019-04-16
dc.date.accessioned2019-05-23T07:30:40Z
dc.date.available2019-05-23T07:30:40Z
dc.identifier.citationChand, P.B., Chicharro, F.I., Jain, P. et al. Mediterr. J. Math. (2019) 16: 67. https://doi.org/10.1007/s00009-019-1350-xes_ES
dc.identifier.issn1660-5454
dc.identifier.urihttps://reunir.unir.net/handle/123456789/8283
dc.description.abstractIn this paper, we present optimal fourth-order methods for finding multiple roots of non-linear equations, where the multiplicity is known in advance. These methods are based on the third-order method given by Weerakoon and Fernando for simple roots. The dynamical behavior of these methods around multiple roots is studied using basin of attraction in complex plane. We also present numerical examples to confirm our theoretical results.es_ES
dc.language.isoen_USes_ES
dc.publisherMediterranean Journal of Mathematicses_ES
dc.relation.urihttps://link.springer.com/article/10.1007%2Fs00009-019-1350-xes_ES
dc.rightsrestrictedAccesses_ES
dc.subjectNon-linear equationses_ES
dc.subjectNewton-type methodes_ES
dc.subjectmultiple rootes_ES
dc.subjectcomplex dynamicses_ES
dc.subjectfixed and critical pointses_ES
dc.subjectbasin of attractiones_ES
dc.subjectJCRes_ES
dc.subjectScopuses_ES
dc.titleOptimal Fourth-Order Weerakoon–Fernando-Type Methods for Multiple Roots and Their Dynamicses_ES
dc.typearticlees_ES
reunir.tag~ARIes_ES
dc.identifier.doihttps://doi.org/10.1007/s00009-019-1350-x


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