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Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems

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Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems

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Cordero Barbero, A.; Giménez-Palacios, I.; Torregrosa Sánchez, JR. (2019). Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems. Applied Numerical Mathematics. 137:1-18. https://doi.org/10.1016/j.apnum.2018.12.006

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/156325

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Title: Avoiding strange attractors in efficient parametric families of iterative methods for solving nonlinear problems
Author: Cordero Barbero, Alicia Giménez-Palacios, Ivan Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] Searching zeros of nonlinear functions often employs iterative procedures. In this paper, we construct several families of iterative methods with memory from one without memory, that is, we have increased the order ...[+]
Subjects: Nonlinear problems , Iterative methods with and without memory , Computational efficiency , Qualitative analysis , Feigenbaum diagrams
Copyrigths: Cerrado
Source:
Applied Numerical Mathematics. (issn: 0168-9274 )
DOI: 10.1016/j.apnum.2018.12.006
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.apnum.2018.12.006
Project ID:
MINISTERIO DE ECONOMIA Y EMPRESA/MTM2014-52016-C2-2-P
GENERALITAT VALENCIANA/PROMETEO/2016/089
Thanks:
This research was partially supported by both Ministerio de Economia y Competitividad and Generalitat Valenciana, under grants MTM2014-52016-C2-2-P and PROMETEO/2016/089, respectively.
Type: Artículo

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