In this paper we propose a new method for the iterative computation of a few of the extremal
eigenvalues of a symmetric matrix and their associated eigenvectors. The method is based …

This paper studies a computational iterative method to find accurate approximations for the
inverse of real or complex matrices. The analysis of convergence reveals that the method …

In this paper, a rapid iterative algorithm is proposed to find robust approximations for the
inverse of nonsingular matrices. The analysis of convergence reveals that this high‐order …

A stable numerical method is proposed for matrix inversion. The new method is
accompanied by theoretical proof to illustrate twelfth‐order convergence. A discussion of …

We give a semilocal convergence theorem for a Steffensen-type method when the nonlinear
equation to solve is a polynomial operators of degree 2. We consider a sequence of linear …

We present a semilocal convergence result for a Newton-type method applied to a
polynomial operator equation of degree\(2\). The method consists in fact in evaluating the …