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

On the high convergence orders of the Newton-GMBACK methods

9 years ago

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

On an Aitken-Newton type method

9 years ago

Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…

On a Newton-Steffensen type method

9 years ago

Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…

On a robust Aitken-Newton method based on the Hermite polynomial

9 years ago

Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…

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

9 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

9 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

9 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

9 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

9 years ago

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

On approximating the inverse of a matrix

9 years ago

Abstract In this note we deal with two problems: the first regards the efficiency in approximating the inverse of a…

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