Criterion of the solvability of matrix equations of the Lyapunov type

Authors

  • 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.

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Published

25.08.1998

Issue

Vol. 50 No. 8 (1998)

Section

Research articles

How to Cite

Boichuk О. A., and S. A. Krivosheya. “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.