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AbstractTwenty years after the classical book of Ortega and Rheinboldt was published, five definitions for the (Q)-convergence orders of sequences…

## On the convergence of some one step and multistep iterative methods

Abstract AuthorIon Păvăloiu Keywordsnonlinear equations in R; one step iterative methods; multistep iterative methods; convergence order. ReferencesPDFScanned manuscript (in Romanian).…

## On the r-convergence orders of the inexact perturbed Newton methods

Abstract The inexact perturbed Newton methods recently introduced by us are variant of Newton method, which assume that at each step…

## Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences

Abstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…

## 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…

## 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…