# (original)

## 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…

## On a Steffensen type method for solving nonlinear operator equations

Abstract Let $$X$$ be a Banach space, $$Y$$ a normed space and the nonlinear operator equation $$P\left( x\right) =0$$, where…

## On approximating the solutions of equations in metric spaces

Abstract Let $$\left( X,\rho \right)$$ be a complete metric space, $$f:X\rightarrow X$$ a nonlinear mapping. In order to solve the…

## Error estimations in the numerical solving of the systems of equations

Abstract Let $$\left( x_{i},\rho_{i}\right) ,\ i=1,2,$$ be two complete metric space and $$F_{1}:X_{1}\times X_{2}\rightarrow X_{1},\ F_{2}:X_{1}\times X_{2}\rightarrow X_{2}$$ two nonlinear…