Sufficient convergence conditions for certain accelerated successive approximations8 years agoAbstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…
On a Steffensen type method8 years agoAbstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
Optimal algorithms concerning the solving of equations by interpolation8 years agoAbstract In this paper we approach two aspects concerning the optimality problems arising from the consideration of the iterative methods for…