数学季刊 ›› 2023, Vol. 38 ›› Issue (2): 210-220.doi: 10.13371/j.cnki.chin.q.j.m.2023.02.008
• • 上一篇
摘要: Let P ∈C m×m and Q∈C n×n be Hermitian and {k +1 } -potent matrices,
i.e., P k+1 = P = P ∗ , Q k+1 = Q = Q ∗ , where ( · ) ∗ stands for the conjugate transpose of a
matrix. A matrix X ∈C m×n is called {P,Q,k +1 } -reflexive (anti-reflexive) if PXQ = X
( PXQ = −X ). In this paper, the least squares solution of the matrix equation AXB = C
subject to {P,Q,k +1 } -reflexive and anti--reflexive constraints are studied by converting
into two simpler cases: k=1 and k=2.
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