一个二次矩阵方程的解

Solution to a Second Order Matrix Equation

利用矩阵的秩分解,得到了一个二次矩阵方程的通解,圆满解决了廖祖华于1999年提出的公开问题.

With the rank decomposition of matrices, the general solutions to a quadratic matrix equation have been obtained,which satisfacforily resolves the Open issue that Liao Zu-hua proposed in 1999.