@article{Păvăloiu_1992, title={ Sur une généralisation de la méthode de Steffensen: On a generalization of the Steffensen method}, volume={21}, url={https://ictp.acad.ro/jnaat/journal/article/view/1992-vol21-no1-art8}, abstractNote={<p>We extend the Steffensen method for solving the equation \(f\left( x\right)=0\) to the setting of the Banach spaces, \(f:X\rightarrow X,\ X\) a Banach space. Considering another equation \(x-g\left( x\right) =0\), equivalent to the above one and assuming certain conditions on the first and second order divided differences of \(f\) we obtain a semilocal convergence result for the method \[x_{n+1}=x_{n}-\left[ x_{n},g\left( x_{n}\right) ;f\right]^{-1}f\left( x_{n}\right) ,~x_{0}\in X.\]</p>}, number={1}, journal={Rev. Anal. Numér. Théor. Approx.}, author={Păvăloiu, Ion}, year={1992}, month={Feb.}, pages={59–65} }