Papers published at ICTP.

The papers published by the ICTP members before or after being ICTP members are categorized as not@ictp.

Papers published at ICTP.

The papers published by the ICTP members before or after being ICTP members are categorized as not@ictp.

Abstract The inexact secant method \([x_{k-1},x_{k};F]s_{k}=-F(x_k) +r_k\), \( x_{k+1}=x_k+s_k\), \( k=1,2,\ldots\), \( x_0,x_1 \in {\mathbb R}^n\) is considered for solving the nonlinear…

Abstract Consider the nonlinear equations \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\) are nonlinear operators and \(X\)…

Abstract Consider the nonlinear equation \(H(x):=F(x)+G(x)=0\), with \(F\) differentiable and \(G\) continuous, where \(F,G,H:X \rightarrow X\), \(X\) a Banach space. The…

Abstract We consider nonlinear equations in \(\mathbb{R}\), and a class of iterative methods obtained by inverse interpolation of Hermite type.…

Abstract We consider the iterative methods for solving nonlinear equations in \(\mathbb{R}\) and the class of iterative methods obtained by…

Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…

Abstract We generalize an approximation formula which in some particular cases has been studied by [J.F. Traub 1964] and \…

Abstract In this paper we apply some iterative methods obtained by inverse interpolation, in order to solve some specific classes…

Abstract We study the local convergence of a Aitken-Steffensen type method for approximating the solutions of nonlinear scalar equations. We…

Abstract We study the connection between the convergence order of two sequences. We show that the exist sequences that do…