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This category marks all the ICTP posts containing the pdf file of the paper/book.

On computational complexity in solving equations by Steffensen type methods

9 years ago

Abstract AuthorsIon Păvăloiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywordsnonlinear equations in R; iterative methods; Steffensen method.…

On computational complexity in solving equations by interpolation methods

9 years ago

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

On the r-convergence orders of the inexact perturbed Newton methods

9 years ago

Abstract The inexact perturbed Newton methods recently introduced by us are variant of Newton method, which assume that at each step…

Improving the rate of convergence of some Newton-like methods for the solution of nonlinear equations containing a nondifferentiable term

9 years ago

Abstract AuthorsIoannis K. Argyros (Cameron University, USA) Emil Cătinaş Emil Cătinaş Ion Păvăloiu Ion Păvăloiu Keywordschord/secant method; semilocal convergence; r-convergence…

Perturbed-Steffensen-Aitken projection methods for solving equations with nondifferentiable operators

9 years ago

Abstract We use perturbed Steffensen-Aitken methods to approximate a locally unique solution of an operator equation in a Banach space. Using…

Estimating the radius of an attraction ball

9 years ago

Abstract Given a nonlinear mapping \(G:D\subseteq \mathbb{R}^n\rightarrow \mathbb{R}^n\) differentiable at a fixed point \(x^\ast\), the Ostrowski theorem offers the sharp…

On the convergence of some quasi-Newton iterates studied by I. Păvăloiu

9 years ago

Abstract In 1986, I. Păvăloiu [6] has considered a Banach space and the fixed point problem \[x=\lambda D\left( x\right) +y,…

The inexact, inexact perturbed and quasi-Newton methods are equivalent models

9 years ago

Abstract A classical model of Newton iterations which takes into account some error terms is given by the quasi-Newton method,…

Sufficient convergence conditions for certain accelerated successive approximations

9 years ago

Abstract We have recently characterized the q-quadratic convergence of the perturbed successive approximations. For a particular choice of the parameters, these…

On the superlinear convergence of the successive approximations method

9 years ago

Abstract The Ostrowski theorem is a classical result which ensures the attraction of all the successive approximations xk+1 = G(xk) near a fixed…

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