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Design of high-order iterative methods for nonlinear systems by using weight-function procedure

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Design of high-order iterative methods for nonlinear systems by using weight-function procedure

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Artidiello Moreno, SDJ.; Cordero Barbero, A.; Torregrosa Sánchez, JR.; Vassileva, M. (2015). Design of high-order iterative methods for nonlinear systems by using weight-function procedure. Abstract and Applied Analysis. 2015(289029):1-12. doi:10.1155/2015/289029

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Título: Design of high-order iterative methods for nonlinear systems by using weight-function procedure
Autor: Artidiello Moreno, Santiago de Jesús Cordero Barbero, Alicia Torregrosa Sánchez, Juan Ramón Vassileva, M.P.
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
We present two classes of iterative methods whose orders of convergence are four and five, respectively, for solving systems of nonlinear equations, by using the technique of weight functions in each step. Moreover, we ...[+]
Derechos de uso: Reconocimiento (by)
Fuente:
Abstract and Applied Analysis. (issn: 1085-3375 )
DOI: 10.1155/2015/289029
Editorial:
Hindawi Publishing Corporation
Versión del editor: http://dx.doi.org/10.1155/2015/289029
Tipo: Artículo

References

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He, Y., & Ding, C. H. Q. (2001). The Journal of Supercomputing, 18(3), 259-277. doi:10.1023/a:1008153532043

Gerlach, J. (1994). Accelerated Convergence in Newton’s Method. SIAM Review, 36(2), 272-276. doi:10.1137/1036057

Cordero, A., & Torregrosa, J. R. (2006). Variants of Newton’s method for functions of several variables. Applied Mathematics and Computation, 183(1), 199-208. doi:10.1016/j.amc.2006.05.062

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Cordero, A., Hueso, J. L., Martínez, E., & Torregrosa, J. R. (2009). A modified Newton-Jarratt’s composition. Numerical Algorithms, 55(1), 87-99. doi:10.1007/s11075-009-9359-z

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