## Abstract

We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show how the auxiliary functions may be constructed and we analyze some conditions on them which lead to monotone approximations. We obtain some local convergence results, which are illustrated by some numerical examples.

## Author

Ion **Păvăloiu**

Tiberiu Popoviciu Institute of Numerical Analysis

Emil **Cătinaş**

Tiberiu Popoviciu Institute of Numerical Analysis

## Keywords

nonlinear equations in R; Steffensen type method; inverse interpolation Lagrange polynomial of second degree; monotone iterations; local convergence; numerical examples.

## Cite this paper as:

I. Păvăloiu, E. Cătinaş, *On a Steffensen type method*, IEEE Proceedings, 2007, pp. 369-375.

## About this paper

##### Journal

Ninth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC 2007)

##### Publisher Name

IEEE

##### ISBN

978-0-7695-3078-8

## Google Scholar citations

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