In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear equations in R. We obtain conditions which assure monotone convergence of the generated sequences. We also obtain a posteriori estimations for the errors.
nonlinear equations in R; Aitken method
I. Păvăloiu, E. Cătinaş, On an Aitken type method, Rev. Anal. Numér. Théor. Approx., 36 (2007) no. 2, pp. 173-176.
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