Aitken-Steffensen type methods for nondifferentiable functions (I)
Keywords:Aitken-Steffensen method, bilateral approximations
AbstractWe study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming the differentiability of \(f\)) we construct some auxilliary functions used in these iterations, which generate bilateral sequences approximating the solution of the considered equation.
How to Cite
Păvăloiu, I. (2002). Aitken-Steffensen type methods for nondifferentiable functions (I). Rev. Anal. Numér. ThéOr. Approx., 31(1), 109-114. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2002-vol31-no1-art12