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This category marks all the ICTP posts containing the pdf file of the paper/book.

Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term

8 years ago

Abstract AuthorsIoannis K. Argyros (Cameron University, USA) Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy) Ion Păvăloiu (Tiberiu…

Estimating the radius of an attraction ball

8 years ago

Abstract Given a nonlinear mapping \(G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n\) differentiable at a fixed point \(x^\ast\), the Ostrowski theorem offers the sharp…

The inexact, inexact perturbed and quasi-Newton methods are equivalent models

8 years ago

Abstract A classical model of Newton iterations which takes into account some error terms is given by the quasi-Newton method,…

Sufficient convergence conditions for certain accelerated successive approximations

8 years ago

Abstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…

On the high convergence orders of the Newton-GMBACK methods

8 years ago

Abstract GMBACK is a Krylov solver for linear systems in \(\mathbb{R}^n\). We analyze here the high convergence orders (superlinear convergence)…

Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three

8 years ago

Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…

A unified treatment of the modified Newton and chord methods

8 years ago

Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…

On a Steffensen-Hermite method of order three

8 years ago

Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…

On a Steffensen type method

8 years ago

Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…

Bilateral approximations of solutions of equations by order three Steffensen-type methods

8 years ago

Abstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…

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