On a third order iterative method for solving polynomial operator equations8 years agoAbstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…
Aitken-Steffensen-type methods for nonsmooth functions (II)8 years agoAbstract We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a…
Aitken-Steffensen-type methods for nonsmooth functions (I)8 years agoAbstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming…