## Abstract

We 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.

## Authors

## Keywords

nonlinear equations in R; Aitken-Steffensen method; monotone sequences; iterative methods; convergence order.

## References

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*Iterative methods for the solution of equations*, (1964), Prentice-Hall, Inc. Englewood Cliffs, N.J.Scanned paper (soon).

Latex version of the paper (soon).

## About this paper

##### Cite this paper as:

I. Păvăloiu, *Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences*, Calcolo, **32 **(1995) nos. 1-2, pp. 69-82.

##### Print ISSN

0008-0624

##### Online ISSN

1126-5434