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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…

On a robust Aitken-Newton method based on the Hermite polynomial

8 years ago

Abstract We introduce an Aitken–Newton iterative method for nonlinear equations, which is obtained by using the Hermite inverse interpolation polynomial…

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…

On the approximation of solutions to nonlinear operators between metric spaces

8 years ago

Abstract A Gauss-Seidel method for linear systems, based on decomposing the matrix system into four submatrices blocks, has been proposed…

A Halley-Aitken-type method for approximating the solutions of scalar equations

8 years ago

Abstract We are concerned with the approximation of the solution of scalar equations by Halley-Aitken method. We obtain local convergence…

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