Optimal efficiency index of a class of Hermite iterative methods with two steps
Abstract The inverse interpolatory polynomials of Hermite type with 2 nodes, allhaving the same order of multiplicity \(q\in N\), provide…
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On the Heron’s method for approximating the cubic root of a real number
Abstract (soon) AuthorsDan Luca Tiberiu Popoviciu Institute of Numerical Analysis Ion Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis KeywordsPDFScanned paper:…
Observations concerning some approximation methods for the solutions of operator equations
Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper. PDF-LaTeX version of the paper. Cite this paper…
Bilateral approximations for the solutions of scalar equations
Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) KeywordsPDFScanned paper: on the journal website. PDF-LaTeX version of the…
A convergency theorem concerning the chord method
Abstract (soon) AuthorsIon Păvăloiu (Tiberiu Popoviciu Institute of Numerical Analysis) Keywords(soon) PDFScanned paper: on the journal website. PDF-LaTeX version of…
Error estimation in numerical solution of equations and systems of equations
Abstract In [7], [8], M. Urabe studies the numerical convergence and error estimation in the case of operatorial equation solution…
Optimal problems concerning interpolation methods of solution of equations
Abstract We consider optimality problems regarding the order of convergence of the iterative methods which are obtained by inverse interpolation…
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 approximating the eigenvalues and eigenvectors of linear continuous operators
Abstract We consider the computing of an eigenpair (an eigenvector \(v=(v^{(i)})_{i=1,n}\) and an eigenvalue \(\lambda\)) of a matrix \(A\in\mathbb{R}^{n\times n}\), by…
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…