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Anomalies in the convergence of Traub-type methods with memory

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Anomalies in the convergence of Traub-type methods with memory

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dc.contributor.author Chicharro, Francisco I. es_ES
dc.contributor.author Cordero Barbero, Alicia es_ES
dc.contributor.author Garrido, Neus es_ES
dc.contributor.author Torregrosa Sánchez, Juan Ramón es_ES
dc.date.accessioned 2021-03-05T04:32:09Z
dc.date.available 2021-03-05T04:32:09Z
dc.date.issued 2020-01-12 es_ES
dc.identifier.uri http://hdl.handle.net/10251/163182
dc.description.abstract [EN] The stability analysis of a new family of iterative methods with memory is introduced. This family, designed from Traub's method, allows to add memory through the introduction of an accelerating parameter. Hence, the speed of convergence of the iterative method increases up to 3.30, with no new functional evaluations. A dynamical study of the proposed family on quadratic polynomials is presented obtaining interesting qualitative properties. es_ES
dc.description.sponsorship This research was partially supported by the Ministerio de Ciencia, Innovación y Universidades (Spain) (PGC2018-095896-B-C22) and Generalitat Valenciana (PROMETEO/2016/089). In addition, the authors would like to thank the anonymous reviewers for their suggestions and comments that have improved the final version of this manuscript. es_ES
dc.language Inglés es_ES
dc.publisher John Wiley & Sons es_ES
dc.relation.ispartof Computational and Mathematical Methods es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Basin of attraction es_ES
dc.subject Fixed points es_ES
dc.subject Iterative processes with memory es_ES
dc.subject Nonlinear equation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Anomalies in the convergence of Traub-type methods with memory es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1002/cmm4.1060 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ 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 Cerrado es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària es_ES
dc.description.bibliographicCitation Chicharro, FI.; Cordero Barbero, A.; Garrido, N.; Torregrosa Sánchez, JR. (2020). Anomalies in the convergence of Traub-type methods with memory. Computational and Mathematical Methods. 2(1):1-13. https://doi.org/10.1002/cmm4.1060 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1002/cmm4.1060 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 2 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 2577-7408 es_ES
dc.relation.pasarela S\398823 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.description.references Kung, H. T., & Traub, J. F. (1974). Optimal Order of One-Point and Multipoint Iteration. Journal of the ACM, 21(4), 643-651. doi:10.1145/321850.321860 es_ES
dc.description.references Petković, M. S., & Sharma, J. R. (2015). On some efficient derivative-free iterative methods with memory for solving systems of nonlinear equations. Numerical Algorithms, 71(2), 457-474. doi:10.1007/s11075-015-0003-9 es_ES
dc.description.references Chun, C., & Neta, B. (2017). How good are methods with memory for the solution of nonlinear equations? SeMA Journal, 74(4), 613-625. doi:10.1007/s40324-016-0105-x es_ES
dc.description.references Soleymani, F. (2013). Some optimal iterative methods and their with memory variants. Journal of the Egyptian Mathematical Society, 21(2), 133-141. doi:10.1016/j.joems.2013.01.002 es_ES
dc.description.references Zafar, F., Akram, S., Yasmin, N., & Junjua, M.-D. (2016). On the construction of three step derivative free four-parametric methods with accelerated order of convergence. Journal of Nonlinear Sciences and Applications, 09(06), 4542-4553. doi:10.22436/jnsa.009.06.92 es_ES
dc.description.references Cordero, A., Junjua, M.-D., Torregrosa, J. R., Yasmin, N., & Zafar, F. (2018). Efficient Four-Parametric with-and-without-Memory Iterative Methods Possessing High Efficiency Indices. Mathematical Problems in Engineering, 2018, 1-12. doi:10.1155/2018/8093673 es_ES
dc.description.references Lotfi, T., Soleymani, F., Ghorbanzadeh, M., & Assari, P. (2015). On the construction of some tri-parametric iterative methods with memory. Numerical Algorithms, 70(4), 835-845. doi:10.1007/s11075-015-9976-7 es_ES
dc.description.references Sharma, J. R., & Arora, H. (2017). Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations. International Journal of Computer Mathematics, 95(5), 920-938. doi:10.1080/00207160.2017.1298747 es_ES
dc.description.references Campos, B., Cordero, A., Torregrosa, J. R., & Vindel, P. (2017). Stability of King’s family of iterative methods with memory. Journal of Computational and Applied Mathematics, 318, 504-514. doi:10.1016/j.cam.2016.01.035 es_ES
dc.description.references Chicharro, F. I., Cordero, A., & Torregrosa, J. R. (2019). Dynamics of iterative families with memory based on weight functions procedure. Journal of Computational and Applied Mathematics, 354, 286-298. doi:10.1016/j.cam.2018.01.019 es_ES
dc.description.references Chicharro, F. I., Cordero, A., Garrido, N., & Torregrosa, J. R. (2018). Stability and applicability of iterative methods with memory. Journal of Mathematical Chemistry, 57(5), 1282-1300. doi:10.1007/s10910-018-0952-z es_ES
dc.description.references Chicharro, F. I., Cordero, A., & Torregrosa, J. R. (2013). Drawing Dynamical and Parameters Planes of Iterative Families and Methods. The Scientific World Journal, 2013, 1-11. doi:10.1155/2013/780153 es_ES
dc.description.references Varona, J. L. (2002). Graphic and numerical comparison between iterative methods. The Mathematical Intelligencer, 24(1), 37-46. doi:10.1007/bf03025310 es_ES


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