On the convergence of Steffensen-Aitken-like methods using divided differences obtained recursively

We use inexact Steffensen-Aitken-like methods to approximate a solution of a nonlinear equation in a Banach space. The approximate inverses of the divided difference operators involved are obtained recursively. Using projection operators on finite-dimensional spaces we compute the solution by solving a linear algebraic system of finite order.

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I.K. Argyros, E. Cătinaş, I. Păvăloiu, On the convergence of Steffensen Aitken-like methods using divided differences obtained recursively, Adv. Nonlinear Var. Inequal., 3 (2000) no. 1, pp. 7-13.

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