Chicharro López, FI.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2019). Dynamics of iterative families with memory based on weight functions procedure. Journal of Computational and Applied Mathematics. 354:286-298. https://doi.org/10.1016/j.cam.2018.01.019
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/155704
Title:
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Dynamics of iterative families with memory based on weight functions procedure
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Author:
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Chicharro López, Francisco Israel
Cordero Barbero, Alicia
Torregrosa Sánchez, Juan Ramón
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UPV Unit:
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Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Issued date:
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Abstract:
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[EN] In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth -order schemes without memory ...[+]
[EN] In this paper, we analyze the stability of a parametric family of iterative methods with memory for solving nonlinear equations. This family is obtained from an optimal class of fourth -order schemes without memory designed by means of weight functions procedure. By studying the real fixed and critical points of the rational function resulting from the application of the family with memory on quadratic polynomials, the best elements of the family, in terms of absence of chaotic behavior, are selected. Finally, a numerical study is performed verifying the dynamical theoretical results. (C) 2018 Elsevier B.V. All rights reserved.
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Subjects:
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Nonlinear equations
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Acceleration of convergence
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Methods with memory
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Real dynamics
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Bifurcation diagram
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Journal of Computational and Applied Mathematics. (issn:
0377-0427
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DOI:
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10.1016/j.cam.2018.01.019
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Publisher:
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Elsevier
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Publisher version:
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https:/doi.org/10.1016/j.cam.2018.01.019
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Conference name:
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17th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2017)
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Conference place:
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Rota, Spain
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Conference date:
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Julio 04-08,2017
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Project ID:
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info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
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Thanks:
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The authors would like to thank the anonymous reviewers for their useful comments and suggestions. This research was partially supported by both Ministerio de Economia y Competitividad and Generalitat Valenciana, Spain, ...[+]
The authors would like to thank the anonymous reviewers for their useful comments and suggestions. This research was partially supported by both Ministerio de Economia y Competitividad and Generalitat Valenciana, Spain, under grants MTM2014-52016-C2-2-P and PROMETE0/2016/089, respectively.
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Type:
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Artículo
Comunicación en congreso
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