Bahl, A.; Cordero Barbero, A.; Sharma, R.; Torregrosa Sánchez, JR. (2019). A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics. Applied Mathematics and Computation. 357:147-166. https://doi.org/10.1016/j.amc.2019.04.003
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/156112
Title:
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A novel bi-parametric sixth order iterative scheme for solving nonlinear systems and its dynamics
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Author:
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Bahl, Ashu
Cordero Barbero, Alicia
Sharma, Rajni
Torregrosa Sánchez, Juan Ramón
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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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[EN] In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. The ...[+]
[EN] In this paper, we propose a general bi-parametric family of sixth order iterative methods to solve systems of nonlinear equations. The presented scheme contains some well known existing methods as special cases. The stability of the proposed class, presented as an appendix, is used for selecting the most stable members of the family with optimum numerical performance. From the comparison with some existing methods of similar nature, it is observed that the presented methods show robust and efficient character.
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Subjects:
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Nonlinear systems
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Iterative methods
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Complex dynamics
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Parameter plane
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Basins of attraction
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Stability
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Copyrigths:
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Cerrado |
Source:
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Applied Mathematics and Computation. (issn:
0096-3003
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DOI:
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10.1016/j.amc.2019.04.003
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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.amc.2019.04.003
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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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This research was partially supported by UGC grant (no. F.8-4(99)/2015(MRP/NRCB), Ministerio de Economía y Competitividad MTM2014-52016-C2-2-P and by Generalitat Valenciana PROMETEO/2016/089.
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Type:
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Artículo
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