The inexact, inexact perturbed and quasi-Newton methods are equivalent models6 years agoAbstract 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 approximations6 years agoAbstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…
Accelerating the convergence of the iterative methods of interpolatory type6 years agoAbstract In this paper we deal with iterative methods of interpolatory type, for solving nonlinear equations in Banach spaces. We…