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dc.contributor.author | Behl, Ramandeep | es_ES |
dc.contributor.author | Bhalla, Sonia | es_ES |
dc.contributor.author | Martínez Molada, Eulalia | es_ES |
dc.contributor.author | Alsulami, Majed Aali | es_ES |
dc.date.accessioned | 2022-02-21T19:03:43Z | |
dc.date.available | 2022-02-21T19:03:43Z | |
dc.date.issued | 2021-06 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/181030 | |
dc.description.abstract | [EN] There is no doubt that the fourth-order King's family is one of the important ones among its counterparts. However, it has two major problems: the first one is the calculation of the first-order derivative; secondly, it has a linear order of convergence in the case of multiple roots. In order to improve these complications, we suggested a new King's family of iterative methods. The main features of our scheme are the optimal convergence order, being free from derivatives, and working for multiple roots (m >= 2). In addition, we proposed a main theorem that illustrated the fourth order of convergence. It also satisfied the optimal Kung-Traub conjecture of iterative methods without memory. We compared our scheme with the latest iterative methods of the same order of convergence on several real-life problems. In accordance with the computational results, we concluded that our method showed superior behavior compared to the existing methods. | es_ES |
dc.description.sponsorship | This research was partially supported by the project PGC2018-095896-B-C22 of the Spanish Ministry of Economy and Competitiveness. | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | MDPI AG | es_ES |
dc.relation.ispartof | Mathematics | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | King's method | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject | Optimal iterative methods | es_ES |
dc.subject | Multiple roots | es_ES |
dc.subject | Kung-Traub conjecture | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Derivative-Free King's Scheme for Multiple Zeros of Nonlinear Functions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math9111242 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Behl, R.; Bhalla, S.; Martínez Molada, E.; Alsulami, MA. (2021). Derivative-Free King's Scheme for Multiple Zeros of Nonlinear Functions. Mathematics. 9(11):1-14. https://doi.org/10.3390/math9111242 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math9111242 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 14 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 9 | es_ES |
dc.description.issue | 11 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\440198 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |