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

On a Steffensen-Hermite method of order three

9 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

9 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

9 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

9 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

9 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

9 years ago

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

On the convergence order of the multistep methods

9 years ago

Abstract We analyze in a unitary way the iterative methods for solving scalar equations, which are of inverse interpolation form.…

On the Chebyshev method for approximating the solutions of polynomial operator equations of degree 2

9 years ago

Abstract The Chebyshev method for approximating the solutions of polynomial operator equations of degree 2 is presented. The convergence of the Chebyshev…

Optimal efficiency indexes for iterative methods of interpolatory type

9 years ago

Abstract The paper is concerned with the order of convergence and the efficiency index of iterative methods of interpolatory type…

Approximation of the roots of equations by Aitken-Steffensen-type monotonic sequences

9 years ago

Abstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…

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