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Generating root-finder iterative methods of second order: convergence and stability

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Generating root-finder iterative methods of second order: convergence and stability

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Chicharro López, FI.; Cordero Barbero, A.; Garrido-Saez, N.; Torregrosa Sánchez, JR. (2019). Generating root-finder iterative methods of second order: convergence and stability. Axioms. 8(2):1-14. https://doi.org/10.3390/axioms8020055

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/142997

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Title: Generating root-finder iterative methods of second order: convergence and stability
Author: Chicharro López, Francisco Israel 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] In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, ...[+]
Subjects: Nonlinear equations , Iterative method , Convergence , Basin of attraction , Stability
Copyrigths: Reconocimiento (by)
Source:
Axioms. (eissn: 2075-1680 )
DOI: 10.3390/axioms8020055
Publisher:
MDPI AG
Publisher version: https://doi.org/10.3390/axioms8020055
Thanks:
This research was partially supported by the Spanish Ministerio de Ciencia, Innovacion y Universidades PGC2018-095896-B-C22 and Generalitat Valenciana PROMETEO/2016/089.
Type: Artículo

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