On a Steffensen type method8 years agoAbstract 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 equations8 years agoAbstract 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 method8 years agoAbstract ? 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)8 years agoAbstract In this note we consider the chord (secant) method and the Steffensen method for solving polynomial operators of degree…
On an Aitken type method18 years agoAbstract In this note we study the convergence of a generalized Aitken type method for approximating the solutions of nonlinear…