On the existence of a common solution \(X\) to the matrix equations \(A_{i} XB_{j}\)=\(C_{ij}\), \((i,j){\in}\Gamma\).

Related Items (14)

Hermitian solutions to the system of operator equations T_iX=U_i. ⋮ Vector least-squares solutions for coupled singular matrix equations ⋮ A simple method for solving matrix equations \(AXB = D\) and \(GXH = C\) ⋮ The matrix nearness problem for symmetric matrices associated with the matrix equation \([A^{T}XA, B^{T}XB = [C, D]\)] ⋮ An iterative algorithm for solving a pair of matrix equations \(AYB=E\), \(CYD=F\) over generalized centro-symmetric matrices ⋮ An iterative method for symmetric solutions and optimal approximation solution of the system of matrix equations \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\) ⋮ Noninteraction and triangular decoupling using geometric control theory and transfer matrices ⋮ Iterative algorithms for the minimum-norm solution and the least-squares solution of the linear matrix equations \(A_1XB_1 + C_1X^TD_1 = M_1, A_2XB_2 + C_2 X^TD_2 = M_2\) ⋮ On the Centro-symmetric Solution of a System of Matrix Equations over a Regular Ring with Identity ⋮ Least squares Hermitian solution of the matrix equation \((AXB,CXD)=(E,F)\) with the least norm over the skew field of quaternions ⋮ Finite iterative algorithm for solving a complex of conjugate and transpose matrix equation ⋮ LSQR iterative common symmetric solutions to matrix equations \(AXB = E\) and \(CXD = F\) ⋮ Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) with the least norm ⋮ Least-squares solution with the minimum-norm for the matrix equation \((A\times B,G\times H) = (C,D)\)

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