On an Aitken-Newton type method6 years agoAbstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…
On a Newton-Steffensen type method6 years agoAbstract 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 polynomial6 years agoAbstract 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 three6 years agoAbstract 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 methods6 years agoAbstract 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 three6 years agoAbstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…
On a Steffensen type method6 years agoAbstract 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 methods6 years agoAbstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…
Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences7 years agoAbstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…
Ergodic Estimations of Upscaled Coefficients for Diffusion in Random Velocity Fields7 years agoAbstractUpscaled coefficients for diffusion in ergodic velocity fields are derived by summing up correlations of increments of the position process,…