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Dynamical analysis of an iterative method with memory on a family of third-degree polynomials

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Dynamical analysis of an iterative method with memory on a family of third-degree polynomials

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Campos, B.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel, P. (2022). Dynamical analysis of an iterative method with memory on a family of third-degree polynomials. AIMS Mathematics. 7(4):6445-6466. https://doi.org/10.3934/math.2022359

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/192068

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Título: Dynamical analysis of an iterative method with memory on a family of third-degree polynomials
Autor: Campos, Beatriz Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vindel, Pura
Entidad UPV: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació
Fecha difusión:
Resumen:
[EN] Qualitative analysis of iterative methods with memory has been carried out a few years ago. Most of the papers published in this context analyze the behaviour of schemes on quadratic polynomials. In this paper, we ...[+]
Palabras clave: Nonlinear equation , Kurchatov's scheme , Stability , Dynamical plane , Bifurcation , Chaos , Parameter line
Derechos de uso: Reconocimiento (by)
Fuente:
AIMS Mathematics. (eissn: 2473-6988 )
DOI: 10.3934/math.2022359
Editorial:
American Institute of Mathematical Sciences
Versión del editor: https://doi.org/10.3934/math.2022359
Código del Proyecto:
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/
info:eu-repo/grantAgreement/UJI//UJI-B2019-18/
Agradecimientos:
This paper is supported by the MCIU grant PGC2018-095896-B-C22. The first and the last authors are also supported by University Jaume I grant UJI-B2019-18. Moreover, the authors would like to thank the anonymous reviewers ...[+]
Tipo: Artículo

References

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