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dc.contributor.author | Arora, Himani | es_ES |
dc.contributor.author | Cordero Barbero, Alicia | es_ES |
dc.contributor.author | Torregrosa Sánchez, Juan Ramón | es_ES |
dc.contributor.author | Behl, Ramandeep | es_ES |
dc.contributor.author | Alharbi, Sattam | es_ES |
dc.date.accessioned | 2023-02-24T19:01:29Z | |
dc.date.available | 2023-02-24T19:01:29Z | |
dc.date.issued | 2022-05 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/192075 | |
dc.description.abstract | [EN] The construction of derivative-free iterative methods for approximating multiple roots of a nonlinear equation is a relatively new line of research. This paper presents a novel family of one-parameter second-order techniques. Our schemes are free from derivatives and have been designed to find multiple roots (m >= 2). The new techniques involve the weight function approach. The convergence analysis for the new family is presented in the main theorem. In addition, some special cases of the new class are discussed. We also illustrate the applicability of our methods on van der Waals, Planck's radiation, root clustering, and eigenvalue problems. We also contrast them with the known methods. Finally, the dynamical study of iterative schemes also provides a good overview of their stability. | es_ES |
dc.description.sponsorship | This research was partially supported by grant PGC2018-095896-B-C22, funded by MCIN/AEI/10.13039/5011000113033 by "ERDF A way of making Europe", the European Union. | 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 | Nonlinear equations | es_ES |
dc.subject | Steffensen's method | es_ES |
dc.subject | Multiple roots | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.3390/math10091530 | 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. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació | es_ES |
dc.description.bibliographicCitation | Arora, H.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Behl, R.; Alharbi, S. (2022). Derivative-Free Iterative Schemes for Multiple Roots of Nonlinear Functions. Mathematics. 10(9):1-13. https://doi.org/10.3390/math10091530 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.3390/math10091530 | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 13 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 10 | es_ES |
dc.description.issue | 9 | es_ES |
dc.identifier.eissn | 2227-7390 | es_ES |
dc.relation.pasarela | S\476408 | es_ES |
dc.contributor.funder | AGENCIA ESTATAL DE INVESTIGACION | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |