Abstract
A reduced composition technique has been used on Newton and Jarratt’s methods in order to obtain an optimal relation between convergence order, functional evaluations and number of operations. Following this aim, a family of methods is obtained whose efficiency indices are proved to be better for systems of nonlinear equations.
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This research was supported by Ministerio de Ciencia y Tecnología MTM2007-64477.
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Cordero, A., Hueso, J.L., Martínez, E. et al. A modified Newton-Jarratt’s composition. Numer Algor 55, 87–99 (2010). https://doi.org/10.1007/s11075-009-9359-z
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DOI: https://doi.org/10.1007/s11075-009-9359-z