矩阵方程AXB=C的极小F范数中心对称解

The Centrosymmetric Solution of Minimum Frobenius Norm of the Matrix Equation AXB=C

利用矩阵的广义奇异值分解,给出了矩阵方程AXB=C有中心对称解的充要条件及其极小Frobenius范数中心对称解的表达式.

By using generalized singular value decomposition of matrices,the necessary and sufficient conditions of the matrix equation AXB=C having the centrosymmetric solutions and its expression of minimum Frobenius norm solutions are derived.