On an Aitken type method

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.

Ion Păvăloiu
(Tiberiu Popoviciu Institute of Numerical Analysis)

Emil Cătinaş
(Tiberiu Popoviciu Institute of Numerical Analysis)

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. https://doi.org/10.33993/jnaat362-865

PDF-LaTeX file (on the journal website).

Google Scholar citations