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New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations

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New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations

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Budzko, D.; Cordero Barbero, A.; Torregrosa Sánchez, JR. (2015). New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations. Computational Mathematics and Mathematical Physics / Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki. 55(12):1947-1959. https://doi.org/10.1134/S0965542515120040

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Título: New family of iterative methods based on the Ermakov-Kalitkin scheme for solving nonlinear systems of equations
Autor: Budzko, D.A. Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
A new one-parameter family of iterative methods for solving nonlinear equations and systems is constructed. It is proved that their order of convergence is three for both equations and systems. An analysis of the dynamical ...[+]
Palabras clave: Two-step iterative scheme for nonlinear equations , Ermakov-Kalitkin scheme , Convergence of the scheme , Stability
Derechos de uso: Cerrado
Fuente:
Computational Mathematics and Mathematical Physics / Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki. (issn: 0965-5425 )
DOI: 10.1134/S0965542515120040
Editorial:
Springer. MAIK Nauka/Interperiodica
Versión del editor: http://dx.doi.org/10.1134/S0965542515120040
Código del Proyecto:
info:eu-repo/grantAgreement/MICINN//MTM2011-28636-C02-02/ES/DISEÑO Y ANALISIS DE METODOS EFICIENTES DE RESOLUCION DE ECUACIONES Y SISTEMAS NO LINEALES/
Agradecimientos:
This work was supported by the European Commission and the Ministry of Science and Technologies of Spain, project no. MTM2011-28636-C02-02.
Tipo: Artículo

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