4 Conclusious
In this paper, by using the special structures of the real representation of complex matrix, the vec operator of the matrix, the Kronecker product of matrices and the properties of MP inverse of matrix, we transform the calculation problem of the special least squares solutions of complex matrix equations into the least squares problem of corresponding linear systems, and propose illustrate the effectiveness based on real matrix with the Hermitian minimum norm least square solution, the real symmetric minimum norm least square solution and the real dissymmetric minimum norm least square solution of the complex matrix equation\(\left(AXB,\ CXD\right)=\left(E,\ F\right).\)