## On an approximation formula

Abstract We generalize an approximation formula which in some particular cases has been studied by [J.F. Traub 1964] and \…

## On some interpolatory iterative methods for the second degree polynomial operators (II)

Abstract In this paper we apply some iterative methods obtained by inverse interpolation, in order to solve some specific classes…

## Monotone sequences for approximating the solutions of equations

Abstract We study the local convergence of a Aitken-Steffensen type method for approximating the solutions of nonlinear scalar equations. We…

## On the convergence order of the iterative methods

Abstract We study the connection between the convergence order of two sequences. We show that the exist sequences that do…

## Remarks on some Newton and Chebyshev-type methods for approximation eigenvalues and eigenvectors of matrices

Abstract We consider a square matrix $$A$$ with real or complex elements. We denote $$\mathbb{K}=\mathbb{R}$$ or $$\mathbb{C}$$ and we are…

## Optimal algorithms concerning the solving of equations by interpolation

Abstract In this paper we approach two aspects concerning the optimality problems arising from the consideration of the iterative methods for…

## On the convergency of a Steffensen-type method

Abstract Let $$X_{1},X_{2}$$ be two Banach spaces, $$f:X_{1}\rightarrow X_{2}$$ a nonlinear mapping. We study the convergence of the Steffensen method for…

## On the chord method

Abstract Let $$X_{1},X_{2}$$ be two Banach spaces, $$f:X_{1}\rightarrow X_{2}$$ a nonlinear mapping and consider the chord method for solving the…