## Aitken-Steffensen-type methods for nonsmooth functions (I)

Abstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming…

Abstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation \(f(x)=0\). Under reasonable conditions (without assuming…

Abstract We show that the Steffensen method for solving the scalar equation \(f(x)=0\), applied to equation $$h(x)=\frac{f(x)}{\sqrt{f'(x)}}=0,$$ leads to bilateral…

Abstract The inverse interpolatory polynomials of Hermite type with 2 nodes, allhaving the same order of multiplicity \(q\in N\), provide…

Abstract (soon) AuthorsDan Luca Tiberiu Popoviciu Institute of Numerical Analysis Ion Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis KeywordsPDFScanned paper:…

Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper. PDF-LaTeX version of the paper. Cite this paper…

Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper: on the journal website. PDF-LaTeX version of the…

Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Keywords(soon) PDFScanned paper: on the journal website. PDF-LaTeX version of…

Abstract In [7], [8], M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation solution…

Abstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…

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…