Positive Definite Solutions for the System of Nonlinear Matrix Equations <i>X</i> + <i>A<sup>*</sup>Y<sup>-n</sup>A</i> = <i>I</i>, <i>Y</i> + <i>B<sup>*</sup>X<sup>-m</sup>B</i> = <i>I</i>

Abstract

In this paper, some properties of the positive definite solutions for the nonlinear system of matrix equations ,