Criterion of the solvability of matrix equations of the Lyapunov type

  • О. A. Boichuk
  • S. A. Krivosheya

Abstract

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.
Published
25.08.1998
How to Cite
BoichukО. A., and KrivosheyaS. A. “Criterion of the Solvability of Matrix Equations of the Lyapunov Type”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 50, no. 8, Aug. 1998, pp. 1021–1026, https://umj.imath.kiev.ua/index.php/umj/article/view/4851.
Section
Research articles