# (original)

## Bilateral approximations of the roots of scalar equations by Lagrange-Aitken-Steffensen method of order three

Abstract We study the monotone convergence of two general methods of Aitken-Steffenssen type. These methods are obtained from the Lagrange…

## On a Steffensen-Hermite type method for approximating the solutions of nonlinear equations

Abstract It is well known that the Steffensen and Aitken-Steffensen type methods are obtained from the chord method, using controlled…

## Accelerating the convergence of the iterative methods of interpolatory type

Abstract In this paper we deal with iterative methods of interpolatory type, for solving nonlinear equations in Banach spaces. We…

## On some Aitken-Steffensen-Halley-type method for approximating the roots of scalar equations

Abstract We extend the Aitken-Steffensen method to the Halley transformation. Under some rather simple assumptions we obtain error bounds for…

## 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…