On an Aitken-Steffensen-Newton type method
Abstract We consider an Aitken-Steffensen type method in which the nodes are controlled by Newton and two-step Newton iterations. We…
Read MoreA survey on the high convergence orders and computational convergence orders of sequences
(survey), convergence orders, history, iterative methods, local convergence, nonlinear equations in Banach spaces, nonlinear equations in R, nonlinear systems in Rn, Numerical Analysis, paper, successive approximations
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Abstract The convergence orders (convergence rates) of convergent sequences toward their limit are fundamental notions from Mathematical Analysis and Numerical…
Read MoreOn an Aitken-Newton type method
Abstract We study the solving of nonlinear equations by an iterative method of Aitken type, which has the interpolation nodes…
Read MoreOn a Newton-Steffensen type method
Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…
Read MoreOn a robust Aitken-Newton method based on the Hermite polynomial
Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…
Read MoreBilateral approximations for some Aitken-Steffensen-Hermite type methods of order three
Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…
Read MoreOn a Steffensen-Hermite method of order three
Abstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…
Read MoreOn a Steffensen type method
Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
Read MoreOn an Aitken type method
Abstract In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear…
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