Abstract
Construction of iterative processes without memory, which are both optimal according to the Kung-Traub hypothesis and derivative-free, is considered in this paper. For this reason, techniques with four and five function evaluations per iteration, which reach to the optimal orders eight and sixteen, respectively, are discussed theoretically. These schemes can be viewed as the generalizations of the recent optimal derivative-free family of Zheng et al. in (2011). This procedure also provides an n-step family using
Citation
F. Soleymani. D. K. R. Babajee. S. Shateyi. S. S. Motsa. "Construction of Optimal Derivative-Free Techniques without Memory." J. Appl. Math. 2012 (SI06) 1 - 24, 2012. https://doi.org/10.1155/2012/497023
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