Local convergence of an at least sixth-order method in Banach spaces

Author:

Argyros I. K.,Khattri S. K.,George S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Reference23 articles.

1. Amat, S., Hernández, M.A., Romero, N.: A modified Chebyshevs iterative method with at least sixth order of convergence. Appl. Math. Comput. 206, 164–174 (2008)

2. Amat, S., Hernández, M.A., Romero, N.: Semilocal convergence of a sixth order iterative method for quadratic equations. Appl. Numer. Math. 62, 833–841 (2012)

3. Argyros, I.K.: Computational theory of iterative methods. In: Chui, C.K., Wuytack, L. (eds.) Series: Studies in Computational Mathematics, vol. 15. Elsevier, New York (2007)

4. Argyros, I.K.: A semilocal convergence analysis for directional Newton methods. Math. Comput. 80, 327–343 (2011)

5. Argyros, I.K., Hilout, S.: Weaker conditions for the convergence of Newton’s method. J. Complex. 28, 364–387 (2012)

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