This category marks all the ICTP posts containing the pdf file of the paper/book.
On an approximation formula
Abstract We generalize an approximation formula which in some particular cases has been studied by [J.F. Traub 1964] and \…
On some interpolatory iterative methods for the second degree polynomial operators (II)
Abstract In this paper we apply some iterative methods obtained by inverse interpolation, in order to solve some specific classes…
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…
Remarks on some Newton and Chebyshev-type methods for approximation eigenvalues and eigenvectors of matrices
Abstract We consider a square matrix \(A\) with real or complex elements. We denote \(\mathbb{K}=\mathbb{R}\) or \(\mathbb{C}\) and we are…
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…
Remarks on the secant method for the solution of nonlinear operator equations
Abstract Let \(X_{1},X_{2}\) be two Banach spaces and \(f:X_{1}\rightarrow X_{2}\) a nonlinear equation. We study the chord method for solving…
On the convergency of a Steffensen-type method
Abstract Let \(X_{1},X_{2}\) be two Banach spaces, \(f:X_{1}\rightarrow X_{2}\) a nonlinear mapping. We study the convergence of the Steffensen method for…
On the chord method
Abstract Let \(X_{1},X_{2}\) be two Banach spaces, \(f:X_{1}\rightarrow X_{2}\) a nonlinear mapping and consider the chord method for solving the…
On a Steffensen type method for solving nonlinear operator equations
Abstract Let \(X\) be a Banach space, \(Y\) a normed space and the nonlinear operator equation \(P\left( x\right) =0\), where…
On approximating the solutions of equations in metric spaces
Abstract Let \(\left( X,\rho \right)\) be a complete metric space, \(f:X\rightarrow X\) a nonlinear mapping. In order to solve the…