## Abstract

It is well known that the Steffensen and Aitken-Steffensen type methods are obtained from the chord method, using controlled nodes. The chord method is an interpolatory method, with two distinct nodes. Using this remark, the Steffensen and Aitken-Steffensen methods have been generalized using interpolatory methods obtained from the inverse interpolation polynomial of Lagrange or Hermite type. In this paper we study the convergence and efficiency of some Steffensen type methods which are obtained from the inverse interpolatory polynomial of Hermite type with two controlled nodes.

## Author

Ion **Păvăloiu**

(Tiberiu Popoviciu Institute of Numerical Analysis)

## Keywords

nonlinear equations in R; Steffensen and Aitken-Steffensen methods; inverse interpolatory polynomial of Hermite type

PDF-LaTeX file (on the journal website).

##### Cite this paper as:

I. Păvăloiu, *On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations*, Rev. Anal. Numér. Théor. Approx. **35** (2006) no. 1, pp. 87-94.

## About this paper

##### Publisher Name

##### Article on the journal website

##### Print ISSN

1222-9024

##### Online ISSN

2457-8126

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