For a given generalized reflection matrix J, that is, JH = J, J2 = I, where JH is the conjugate transpose matrix of J, a matrix A ∈ Cn×n is called a Hermitian (anti)reflexive matrix with respect to J if AH = 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.
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Xin Liu (2017) studied this question.
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