2002

On the approximation of solutions to nonlinear operators between metric spaces

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

On a third order iterative method for solving polynomial operator equations

Abstract We present a semilocal convergence result for a Newton-type method applied to a polynomial operator equation of degree (2).…

Aitken-Steffensen-type methods for nonsmooth functions (II)

Abstract We present some new conditions which assure that the Aitken-Steffensen method yields bilateral approximation for the solution of a…

Aitken-Steffensen-type methods for nonsmooth functions (I)

Abstract We study the convergence of the Aitken-Steffensen method for solving a scalar equation $$f(x)=0$$. Under reasonable conditions (without assuming…