An Improvement of Ostrowski’s and King’s Techniques with Optimal Convergence Order Eight

Author:

Soleymani Fazlollah,Sharifi Mahdi,Somayeh Mousavi Bibi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Reference10 articles.

1. Sargolzaei, P., Soleymani, F.: Accurate fourteenth-order methods for solving nonlinear equations. Numer. Algorithms (2011). doi: 10.1007/s11075-011-9467-4

2. Iliev, A., Kyurkchiev, N.: Nontrivial Methods in Numerical Analysis: Selected Topics in Numerical Analysis. LAP Lambert Academic, Saarbrücker (2006)

3. King, R.F.: Family of fourth-order methods for nonlinear equations. SIAM J. Numer. Anal. 10, 876–879 (1973)

4. Kung, H.T., Traub, J.F.: Optimal order of one-point and multipoint iteration. J. ACM 643–651 (1974)

5. Bi, W., Ren, H., Wu, Q.: Three-step iterative methods with eighth-order convergence for solving nonlinear equations. J. Comput. Appl. Math. 225, 105–112 (2009)

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