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\(\left(AXB,\ CXD\right)=\left(E,\ F\right).\)