The explicit solution of the matrix equation \(AX-XB = C\)

DOI10.1007/BF02466983zbMath0849.15008OpenAlexW76607454MaRDI QIDQ1910313

Yanyan Li

Publication date: 10 June 1996

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02466983

zbMATH Keywords

explicit solutionmatrix equationsymmetriceigenprojectionskewsymmetric

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (2)

Closed-form solutions to Sylvester-conjugate matrix equations ⋮ Solving the Sylvester Equation AX-XB=C when $\sigma(A)\cap\sigma(B)\neq\emptyset$

Cites Work

• Continued-fraction solution of matrix equation \(AX-XB=C\)
• The significance of projection operators in the spectral representation of symmetric second order tensors
• The matrix equation \(XA=A^ TX\) and an associated algorithm for solving the inertia and stability problems
• Linear matrix equations: The module theoretic approach
• The Lyapunov matric equation SA+A*S=S*B*BS
• Controllability, observability and the solution of AX-XB=C
• Algebraic method for the study of some linear matrix equations
• Twirl tensors and the tensor equation \(AX-XA=C\)
• A Finite Series Solution of the Matrix Equation $AX - XB = C$
• Some Applications of the Lyapunov Matrix Equation
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• Explicit Solutions of Linear Matrix Equations
• The Equations AX - YB = C and AX - XB = C in Matrices

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