The solution of the matrix equation XC – BX = D as an eigenvalue problem

DOI10.1080/00207727708942049zbMath0353.15022OpenAlexW2005497388MaRDI QIDQ4123462

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Publication date: 1977

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727708942049

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

• Unnamed Item
• On the operator equation \(BX - XA = Q\)
• Matrix calculations for Liapunov quadratic forms
• Analysis and synthesis of stability matrices
• A New Solution Method for the Lyapunov Matrix Equation
• Matrix Quadratic Solutions
• A Finite Series Solution of the Matrix Equation $AX - XB = C$
• Method of Undetermined Coefficients in Linear Differential Systems and the Matrix Equation $YB - AY = F$
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• Comparison of four numerical algorithms for solving the Liapunov matrix equation†
• Solution of the Matrix Equations $AX + XB = - Q$ and $S^T X + XS = - Q$
• A high-order method of solution for the Lyapunov matrix equation
• Comparison of numerical methods for solving Liapunov matrix equations†
• A contribution to matrix quadratic equations

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