Using the general singular value decomposition of matrices, the necessary and sufficient conditions for the expressions for the centroskew symmetric solutions of the linear matrix equation A(superscript T)XA=B are established.

• 摘要利用矩阵的广义奇异值分解，得到了线性矩阵方程A(上标T)XA=B有中心斜对称解的充分必要条件及其通解的表达式。