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A new efficient parametric family of iterative methods for solving nonlinear systems

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A new efficient parametric family of iterative methods for solving nonlinear systems

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Chicharro, FI.; Cordero Barbero, A.; Garrido-Saez, N.; Torregrosa Sánchez, JR. (2019). A new efficient parametric family of iterative methods for solving nonlinear systems. The Journal of Difference Equations and Applications. 25(9-10):1454-1467. https://doi.org/10.1080/10236198.2019.1665653

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/163984

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Title: A new efficient parametric family of iterative methods for solving nonlinear systems
Author: Chicharro, Francisco I. Cordero Barbero, Alicia Garrido-Saez, Neus Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Issued date:
Abstract:
[EN] A bi-parametric family of iterative schemes for solving nonlinear systems is presented. We prove for any value of parameters the sixth-order of convergence of any members of the class. The efficiency and computational ...[+]
Subjects: Nonlinear systems , Iterative methods , Order of convergence , Divided difference operator , Efficiency index
Copyrigths: Cerrado
Source:
The Journal of Difference Equations and Applications. (issn: 1023-6198 )
DOI: 10.1080/10236198.2019.1665653
Publisher:
Taylor & Francis
Publisher version: https://doi.org/10.1080/10236198.2019.1665653
Project ID:
MICINN/PGC2018-095896-B-C22
GV/PROMETEO/2016/089
Thanks:
This research was partially supported by both Ministerio de Ciencia, Innovacion y Universidades and Generalitat Valenciana [grant numbers PGC2018-095896-B-C22 and PROMETEO/2016/089], respectively. The authors would like ...[+]
Type: Artículo

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