TY - JOUR AU - О. A. Boichuk AU - S. A. Krivosheya PY - 1998/08/25 Y2 - 2024/03/29 TI - Criterion of the solvability of matrix equations of the Lyapunov type JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 50 IS - 8 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/4851 AB - By using the theory of generalized inverse operators, we establish a criterion of the solvability of the Lyapunov-type matrix equations AX - XB = D and X - AXB = D and investigate the structure of the set of their solutions. ER -