Efficient solution of linear matrix equations with application to multistatic antenna array processing (Q820201)

The present paper deals with the matrix linear least squares problem: \[ \min_X\| Q- AXB^T\|^2_F, \] where \(A\), \(B\), \(Q\) are given (complex valued) matrices of sizes \(N_A\times L\), \(N_B\times L\), and \(N_A\times N_B\), respectively; the unknown \(L\times L\) matrix \(X^A\) is diagonal. Relative to the above problem, a computationally-efficient solution is constructed, corresponding to the ``reduced-order vector form''.