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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:
MINISTERIO DE ECONOMIA Y COMPETITIVIDAD/MTM2015-64013-P
MINISTERIO DE CIENCIA, INNOVACIÓN Y UNIVERSIDADES/PGC2018-094889-B-I00
GENERALITAT VALENCIANA/PROMETEO/2016/089
AEI/TEC2016-79884-C2-2-R
AEI/PGC2018-095896-B-C22-AR
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

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