On 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…
divided differences
On 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…
On 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…
Bilateral 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…
On 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…
On a Steffensen type method
Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…
On the Steffensen method for solving nonlinear operator equations
Abstract We consider the equation \[F\left( x\right) =x-A\left( x\right)=0,\] where \(A\) is an operator from a Banach space \(X\) to…
On the monotonicity of the sequences of approximations obtained by Steffensen’s method
Abstract ? AuthorIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Keywords? PDFScanned paper. PDF-LaTeX version of the paper. Cite this paper…
On some interpolatory iterative methods for the second degree polynomial operators (I)
Abstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…
On an Aitken type method
Abstract In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear…