Nazari, A., Sayehvand, K., Rostami, M. (2014). Steensen method for solving nonlinear matrix equation X+A^T X^(-1) A=Q. Journal of Linear and Topological Algebra (JLTA), 03(04), 231-247.

A Nazari; Kh Sayehvand; M Rostami. "Steensen method for solving nonlinear matrix equation X+A^T X^(-1) A=Q". Journal of Linear and Topological Algebra (JLTA), 03, 04, 2014, 231-247.

Nazari, A., Sayehvand, K., Rostami, M. (2014). 'Steensen method for solving nonlinear matrix equation X+A^T X^(-1) A=Q', Journal of Linear and Topological Algebra (JLTA), 03(04), pp. 231-247.

Nazari, A., Sayehvand, K., Rostami, M. Steensen method for solving nonlinear matrix equation X+A^T X^(-1) A=Q. Journal of Linear and Topological Algebra (JLTA), 2014; 03(04): 231-247.

Steensen method for solving nonlinear matrix equation X+A^T X^(-1) A=Q

^{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.