On a Steffensen-Hermite method of order three6 years agoAbstract In this paper we study a third order Steffensen type method obtained by controlling the interpolation nodes in the…
On a Steffensen type method6 years agoAbstract 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 methods6 years agoAbstract 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 matrix6 years agoAbstract 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 spaces6 years agoAbstract 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 equations6 years agoAbstract 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 methods6 years agoAbstract 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 26 years agoAbstract 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 type6 years agoAbstract 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 sequences6 years agoAbstract We study the conditions under which the well-known Aitken-Steffensen method for solving equations leads to monotonic sequences whose terms…