## 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,…

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

Abstract (soon) AuthorsIon Păvăloiu KeywordsPDFScanned paper. PDF-LaTeX version of the paper. Cite this paper as:I. Păvăloiu, Observations concerning some approximation methods…

## 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),…

## Error estimation in numerical solution of equations and systems of equations

Abstract In \cite{7 Urabe}, \cite{8 Urabe} M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation…

## Optimal problems concerning interpolation methods of solution of equations

Abstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…

## On the Steffensen method for solving nonlinear operator equations

Abstract We consider the equation $F\left( x\right) =x-A\left( x\right)=0,$ where $$A$$ is an operator from a Banach space $$X$$ to…

## On approximating the eigenvalues and eigenvectors of linear continuous operators

Abstract We consider the computing of an eigenpair (an eigenvector $$v=(v^{(i)})_{i=1,n}$$ and an eigenvalue $$\lambda$$) of a matrix $$A\in\mathbb{R}^{n\times n}$$, by…

## On the monotonicity of the sequences of approximations obtained by Steffensen’s method

Abstract   AuthorIon Păvăloiu KeywordsReferences[1] Balazs, M., A bilateral approximating method for finding the real roots of real equations. Rev. Anal.…

## On the Chebyshev method for approximating the eigenvalues of linear operators

Abstract We study the approximation of an eigenpair (an eigenvalue and a corresponding eigenvector) of a a linear operator T from…