The Least Squares Hermitian (Anti) reflexive Solution with the Least Norm to Matrix Equation AXB = C

摘要

For a given generalized reflectionmatrix J, that is,J(H) =J, J(2) = I, where.J(H) is the conjugate transposematrix of J, a matrix A is an element of C-nxn is called a Hermitian (anti) reflexive matrix with respect to.. if A(H) = A and A= +/- JAJ. By using the Kronecker product, we derive the explicit expression of least squares Hermitian (anti) reflexive solution with the least norm to matrix equation AXB=C over complex field.