Chaos in King's iterative family
- Cordero Barbero, Alicia
- García Maimo, Javier
- Torregrosa Sánchez, Juan Ramón
- Vassileva, María Penkova
- Vindel Cañas, Pura
DOIAbstract
In this paper, the dynamics of King's family of iterative schemes for solving nonlinear equations is studied. The parameter spaces are presented, showing the complexity of the family. The analysis of the parameter space allows us to find elements of the family that have bad convergence properties, and also other ones with stable behavior. (C) 2013 Elsevier Ltd. All rights reserved.This research was supported by Ministerio de Ciencia y Tecnologia MTM2011-28636-C02-02 and FONDOCYT 2011-1-B1-33 Republica Dominicana.Cordero Barbero, A.; García Maimo, J.; Torregrosa Sánchez, JR.; Vassileva, MP.; Vindel Cañas, P. (2013). Chaos in King's iterative family. Applied Mathematics Letters. 26(8):842-848. doi:10.1016/j.aml.2013.03.012S84284826
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