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A new class of iterative processes for solving nonlinear systems by using one divided differences operator

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A new class of iterative processes for solving nonlinear systems by using one divided differences operator

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Cordero Barbero, A.; Jordan-Lluch, C.; Sanabria-Codesal, E.; Torregrosa Sánchez, JR. (2019). A new class of iterative processes for solving nonlinear systems by using one divided differences operator. Mathematics. 7(9):1-12. https://doi.org/10.3390/math7090776

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/159347

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Title: A new class of iterative processes for solving nonlinear systems by using one divided differences operator
Author: Cordero Barbero, Alicia Jordan-Lluch, Cristina Sanabria-Codesal, Esther Torregrosa Sánchez, Juan Ramón
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this manuscript, a new family of Jacobian-free iterative methods for solving nonlinear systems is presented. The fourth-order convergence for all the elements of the class is established, proving, in addition, that ...[+]
Subjects: Nonlinear systems , Multipoint iterative methods , Divided difference operator , Order of convergence , Newton's method , Computational efficiency index
Copyrigths: Reconocimiento (by)
Source:
Mathematics. (eissn: 2227-7390 )
DOI: 10.3390/math7090776
Publisher:
MDPI AG
Publisher version: https://doi.org/10.3390/math7090776
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2015-64013-P/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-094889-B-I00/ES/SINGULARIDADES, GEOMETRIA GENERICA Y APLICACIONES/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/
info:eu-repo/grantAgreement/MINECO//TEC2016-79884-C2-2-R/ES/DESARROLLO DEL SOFTWARE PARA SISTEMA DE DIAGNOSTICO POR IMAGEN MOLECULAR PARA CORAZON EN CONDICIONES DE STRESS/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/
Thanks:
This research has been supported partially by Spanish Ministerio de Ciencia, Innovacion y Universidades PGC2018-095896-B-C22, PGC2018-094889-B-I00, TEC2016-79884-C2-2-R and also by Spanish grant PROMETEO/2016/089 from ...[+]
Type: Artículo

References

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Wang, X., & Fan, X. (2016). Two Efficient Derivative-Free Iterative Methods for Solving Nonlinear Systems. Algorithms, 9(1), 14. doi:10.3390/a9010014

Sharma, J. R., & Arora, H. (2014). Efficient derivative-free numerical methods for solving systems of nonlinear equations. Computational and Applied Mathematics, 35(1), 269-284. doi:10.1007/s40314-014-0193-0

Narang, M., Bhatia, S., & Kanwar, V. (2017). New efficient derivative free family of seventh-order methods for solving systems of nonlinear equations. Numerical Algorithms, 76(1), 283-307. doi:10.1007/s11075-016-0254-0

Wang, X., Zhang, T., Qian, W., & Teng, M. (2015). Seventh-order derivative-free iterative method for solving nonlinear systems. Numerical Algorithms, 70(3), 545-558. doi:10.1007/s11075-015-9960-2

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Cordero, A., & Torregrosa, J. R. (2007). Variants of Newton’s Method using fifth-order quadrature formulas. Applied Mathematics and Computation, 190(1), 686-698. doi:10.1016/j.amc.2007.01.062

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