Approximation of the roots of equations by aitken-steffensen-type monotonic sequences
The aim of this paper is to study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms approximate (from the left and from the right) the root of an equation. The convergence order and efficiency index of this method are also studied in the general case and then in various particular cases.
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