## Aitken-Steffensen-type methods for nonsmooth functions (II)

Abstract 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)

Abstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation $$f(x)=0$$. Under reasonable conditions (without assuming…

## On a Halley-Steffensen method for approximating the solutions of scalar equations

Abstract We show that the Steffensen method for solving the scalar equation $$f(x)=0$$, applied to equation $$h(x)=\frac{f(x)}{\sqrt{f'(x)}}=0$$, leads to bilateral…

## Optimal efficiency index of a class of Hermite iterative methods with two steps

Abstract (soon) AuthorsIon Păvăloiu Keywords(soon) References[1] BRENT, R., WINOGRAD, S., WOLFE, F., Optimal Iterative Processes for Root-Finding, Numer. Math., 20,…

## On the Heron’s method for approximating the cubic root of a real number

Abstract (soon) AuthorsDan Luca, Ion Păvăloiu KeywordsReferences[1] G. Deslauries and S. ubuc, Le calcul de la racine cubique selon Heron,…

## On computational complexity in solving equations by Steffensen-type methods

Abstract (soon) AuthorsIon Păvăloiu KeywordsReferencesPDF Scanned paper: available on the journal website below. PDF-LaTeX version of the paper. About this…

## On computational complexity in solving equations by interpolation methods

Abstract (soon) AuthorsIon Păvăloiu KeywordsReferencesPDF Scanned paper. PDF-LaTeX version of the paper. Available on the journal site below. About this…

## Observations concerning some approximation methods for the solutions of operator equations

Abstract (soon) AuthorsIon Păvăloiu KeywordsReferences[1] Argyros, K.I., Concerning the Convergence of Newton’s Method, The Renjab University Journal of Mathematics, Vol.…

## Bilateral approximations for the solutions of scalar equations

Abstract (soon) AuthorsIon Păvăloiu KeywordsReferences[1] Balazs, M., A Bilateral Approximating Method for Finding the Real Roots of Real Equations., Revue…

## A convergency theorem concerning the chord method

Abstract (soon) AuthorsIon Păvăloiu Keywords(soon) References[1] Argyros, K.I., The Secant Method and Point of Nonlinear Operators Mh. Math. 106 (1988),…