矩阵方程X^＊AX=B的反问题

Inverse Problem of Matrix Equation X AX=B

本文利用分块矩阵的复正定性,讨论了矩阵方程XAX=B的反问题有复正定矩阵解的充要条件,进而给出其解的形式。

In this paper,author discusses the necessary and sufficient conditions for the positive definite complex matrix solution of the inverse problem of matrix equation XAX=B with the positive definite of the partition complex matrices,moreover,gives out the expression of the solution.