Conditions for unique solvability of the matrix equation AX + X*B = C
Yu. O. Vorontsov, Khakim Dododzhanovich Ikramov · Computational Mathematics and Mathematical Physics · 2012
Conditions for the unique solvability of the matrix equation AX + X * B = C are formulated in terms of the eigenvalues and the Kronecker structure of the matrix pencil A + λ B * associated with this equation.