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…
On the high convergence orders of the Newton-GMBACK methods
Abstract GMBACK is a Krylov solver for linear systems in \(\mathbb{R}^n\). We analyze here the high convergence orders (superlinear convergence)…
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…
Monotone sequences for approximating the solutions of equations
Abstract We study the local convergence of a Aitken-Steffensen type method for approximating the solutions of nonlinear scalar equations. We…
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…