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.
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