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On computational complexity in solving equations by interpolation methods

8 years ago

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

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

8 years ago

Abstract AuthorsIoannis K. Argyros (Cameron University, USA) Emil Cătinaş (Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy) Ion Păvăloiu (Tiberiu…

On the approximate solutions of implicit functions using the Steffensen method

8 years ago

Abstract We use inexact Steffensen-Aitken-type methods to approximate implicit functions in a Banach space. Using a projection operator our equation reduces to…

On a Newton-Steffensen type method

8 years ago

Abstract In this paper we study the convergence of a Newton-Steffensen type method for solving nonlinear equations in R, introduced by…

Bilateral approximations for some Aitken-Steffensen-Hermite type methods of order three

8 years ago

Abstract We study the local convergence of some Aitken–Steffensen–Hermite type methods of order three. We obtain that under some reasonable…

A unified treatment of the modified Newton and chord methods

8 years ago

Abstract The aim of this paper is to obtain a unified treatment of some iterative methods. We obtain some conditions…

On a Steffensen-Hermite method of order three

8 years ago

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

8 years ago

Abstract We study a general Steffensen type method based on the inverse interpolation Lagrange polynomial of second degree. We show…

Bilateral approximations of solutions of equations by order three Steffensen-type methods

8 years ago

Abstract We study the convergence of a method of Steffensen-type, which is obtained from the Lagrange polynomial of inverse interpolation with…

On approximating the inverse of a matrix

8 years ago

Abstract In this note we deal with two problems: the first regards the efficiency in approximating the inverse of a…

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