Artidiello Moreno, SDJ.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vassileva, M. (2015). Two weighted-order classes of iterative root-finding methods. International Journal of Computer Mathematics. 92(9):1790-1805. https://doi.org/10.1080/00207160.2014.887201
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/65554
Title:
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Two weighted-order classes of iterative root-finding methods
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Author:
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Artidiello Moreno, Santiago de Jesús
Cordero Barbero, Alicia
Torregrosa Sánchez, Juan Ramón
Vassileva, M.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 we design, by using the weight function technique, two families of iterative schemes with order of convergence eight. These weight functions depend on one, two and three variables and they are used in the ...[+]
In this paper we design, by using the weight function technique, two families of iterative schemes with order of convergence eight. These weight functions depend on one, two and three variables and they are used in the second and third step of the iterative expression. Dynamics on polynomial and non-polynomial functions is analysed and they are applied on the problem of preliminary orbit determination by using a modified Gauss method. Finally, some standard test functions are to check the reliability of the proposed schemes and allow us to compare them with other known methods.
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Subjects:
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Nonlinear equation
,
Weight functions technique
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Optimal methods
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Efficiency index
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Iterative schemes
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65H10
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65H05
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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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10.1080/00207160.2014.887201
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Publisher:
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Taylor & Francis: STM, Behavioural Science and Public Health Titles
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Publisher version:
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http://dx.doi.org/10.1080/00207160.2014.887201
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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/FONDOCYT//2011-1-B1-33/
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Thanks:
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This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and FONDOCYT 2011-1-B1-33 Republica Dominicana.
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Type:
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Artículo
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