^{1}Department of Mathematics, Arak University, P.O. Box 38156-8-8349, Arak, Iran.

^{2}Faculty of Mathematical Sciences, University of Malayer, P. O. Box 16846-13114, Malayer, Iran.

Abstract

In this article we study Steensen method to solve nonlinear matrix equation
X+A^T X^(-1) A=Q, when A is a normal matrix. We establish some conditions
that generate a sequence of positive denite matrices which converges to solution
of this equation.