Title of article :
Steffensen method for solving nonlinear matrix equation X + AT X−1A = Q
Author/Authors :
Nazari ، A. Department of Mathematics - Arak University , Sayehvand ، Kh. Faculty of Mathematical Sciences - University of Malayer , Rostami ، M. Faculty of Mathematical Sciences - University of Malayer
Abstract :
In this article we study Steffensen method to solve nonlinear matrix equation X + AT X−1A = Q, when A is a normal matrix. We establish some conditions that generate a sequence of positive definite matrices which converges to solution of this equation.
Keywords :
fixed point method , Steffensen method , Nonlinear matrix equations
Journal title :
Journal of Linear and Topological Algebra
Journal title :
Journal of Linear and Topological Algebra
