Applications of linear transformations to matrix equations

DOI10.1016/S0024-3795(97)80051-1zbMath0887.15005OpenAlexW1987936901MaRDI QIDQ1373320

Ran Baik Lee, Karabi Datta, Yoo-Pyo Hong

Publication date: 25 May 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)80051-1

zbMATH Keywords

linear transformationlinear matrix equationprescribed spectrumfull rank solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Linear transformations, semilinear transformations (15A04)

Related Items (1)

Unique Full-Rank Solution of the Sylvester-Observer Equation and Its Application to State Estimation in Control Design

Cites Work

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• The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
• The matrix equation \(XA-BX=R\) and its applications
• Controllability, observability and the solution of AX-XB=C
• Nonsingular solutions of TA-BT=C
• Linear and numerical linear algebra in control theory: Some research problems
• On ranges of Lyapunov transformations
• Matrix Analysis
• Explicit Solutions of Linear Matrix Equations

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