Campos, B.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vindel, P. (2015). Dynamics of the family of c-iterative methods. International Journal of Computer Mathematics. 92(9):1815-1825. https://doi.org/10.1080/00207160.2014.893608
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/65359
Title:
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Dynamics of the family of c-iterative methods
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Author:
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Campos, B.
Cordero Barbero, Alicia
Torregrosa Sánchez, Juan Ramón
Vindel, P.
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UPV Unit:
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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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In this paper, the dynamics of the family of c-iterative methods for solving nonlinear equations are studied on quadratic polynomials. A singular parameter space is presented to show the complexity of the family. The ...[+]
In this paper, the dynamics of the family of c-iterative methods for solving nonlinear equations are studied on quadratic polynomials. A singular parameter space is presented to show the complexity of the family. The analysis of the parameter space allows us to find elements of the family that have bad convergence properties and also other ones with very stable behaviour. These schemes correspond to values of c in different small regions of the parameter space.
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Subjects:
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Complex dynamics
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Julia and Fatou sets
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Dynamical behaviour
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Iterative methods
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Parameter plane
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65H05
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37F10
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Copyrigths:
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Reserva de todos los derechos
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Source:
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International Journal of Computer Mathematics. (issn:
0020-7160
)
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DOI:
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10.1080/00207160.2014.893608
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Publisher:
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Taylor & Francis (Routledge): STM, Behavioural Science and Public Health Titles
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Publisher version:
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http://dx.doi.org/10.1080/00207160.2014.893608
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Project ID:
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info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/
info:eu-repo/grantAgreement/UJI//P1·1B2011-30/
info:eu-repo/grantAgreement/UPV//PAID-06-10-2285/
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Thanks:
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Supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02. The first and fourth authors were also partially supported by P11B2011-30 (Universitat Jaume I), the second and third authors were also partially supported ...[+]
Supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02. The first and fourth authors were also partially supported by P11B2011-30 (Universitat Jaume I), the second and third authors were also partially supported by Vicerrectorado de Investigacion, Universitat Politecnica de Valencia PAID-06-2010-2285.
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Type:
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Artículo
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