矩阵方程<i>X + A<sup> * </sup>X<sup>-2</sup> A = I</i>有对称正定解的充分必要条件

Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution of the Matrix Equation X + A^*X^-2 A = I

CHENG Mingsong

Acta Scientiarum Naturalium Universitatis Pekinensis . 2005, (1): 55 -61 .