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A biparametric extension of King’s fourth-order methods and their dynamics
dc.contributor.author | Geum, Young Hee | |
dc.contributor.author | Kim, Young Ik | |
dc.contributor.author | Magreñán, Á. Alberto | |
dc.date | 2016-05 | |
dc.date.accessioned | 2017-04-04T14:30:06Z | |
dc.date.available | 2017-04-04T14:30:06Z | |
dc.identifier.citation | Young Hee Geum, Young Ik Kim, Á. Alberto Magreñán, A biparametric extension of King’s fourth-order methods and their dynamics, Applied Mathematics and Computation, Volume 282, 5 May 2016, Pages 254-275 | es_ES |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | https://reunir.unir.net/handle/123456789/4693 | |
dc.description.abstract | A class of two-point quartic-order simple-zero finders and their dynamics are investigated in this paper by extending King’s fourth-order family of methods. With the introduction of an error corrector having a weight function dependent on a function-to-function ratio, higher-order convergence is obtained. Through a variety of test equations, numerical experiments strongly support the theory developed in this paper. In addition, relevant dynamics of the proposed methods is successfully explored for a prototype quadratic polynomial as well as parameter spaces and dynamical planes. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Applied Mathematics and Computation | es_ES |
dc.relation.ispartofseries | ;vol. 282 | |
dc.relation.uri | http://www.sciencedirect.com/science/article/pii/S0096300316301230 | |
dc.rights | restrictedAccess | es_ES |
dc.subject | parameter space | es_ES |
dc.subject | error corrector | es_ES |
dc.subject | dynamical plane | es_ES |
dc.subject | king’s fourth-order method | es_ES |
dc.subject | JCR | es_ES |
dc.subject | Scopus | es_ES |
dc.title | A biparametric extension of King’s fourth-order methods and their dynamics | es_ES |
dc.type | Articulo Revista Indexada | es_ES |
reunir.tag | ~ARI | es_ES |
dc.identifier.doi | https://doi.org/10.1016/j.amc.2016.02.020 |
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