Convergence and numerical analysis of a family of two-step steffensen's methods

Authors:
S. Amat;S. Busquier
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2005

Citing 3
Cited 4

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Abstract

We provide sufficient conditions for the semilocal convergence of a family of two-step Steffensen's iterative methods on a Banach space. The main advantage of this family is that it does not need to evaluate neither any Frechet derivative nor any bilinear operator, but having a high speed of convergence. Some numerical experiments are also presented.