On the approximate solution of implicit functions using the Steffensen method
Author
Argyros, Ioannis K.
Catinas, Emil
Pavaloiu, Ion
Full text
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/161910.4067/S0716-09172000000300005
Abstract
We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to solving a linear algebraic system of finite order. Semilocal convergence results as well as an error analysis are also provided.