Factored forms for solutions of \(AX-XB=C\) and \(X-AXB=C\) in companion matrices
From MaRDI portal
Publication:800987
DOI10.1016/0024-3795(84)90086-7zbMath0552.15008OpenAlexW2029108136MaRDI QIDQ800987
Peter Lancaster, Miron Tismenetsky, Leonid Lerer
Publication date: 1984
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(84)90086-7
Related Items
An efficient method for least-squares problem of the quaternion matrix equationX-AX̂B=C, Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions, Generalized Bézoutian and matrix equations, Computational Methods for Linear Matrix Equations, On a class of entire matrix function equations, Approximation design of optimal controllers for nonlinear systems with sinusoidal disturbances, Optimal output tracking control for nonlinear systems via successive approximation approach, Approximate design of optimal tracking controller for time-delay systems, Active vibration control for nonlinear vehicle suspension with actuator delay via I/O feedback linearization, A Faddeev sequence method for solving Lyapunov and Sylvester equations, On a class of matrix polynomial equations, Bézoutians of rational matrix functions, matrix equations and factorizations, On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\), Optimal tracking control for large-scale interconnected systems with time-delays, Some properties of solutions of Yule-Walker type equations, On the solution of Stein's equation and Fisher's information matrix of an ARMAX process, Consimilarity and quaternion matrix equations \(AX -\hat{X}B = C\), \(X - A\hat{X}B = C\), On the explicit solutions of forms of the Sylvester and the Yakubovich matrix equations, On Stein's equation, Vandermonde matrices and Fisher's information matrix of time series processes. I: The autoregressive moving average process, Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\), On the eigenvalue estimation for solution to Lyapunov equation, Observer-based approximate optimal tracking control for time-delay systems with external disturbances, Singular LQ problem for irregular singular systems, Canonical correlations in multi-way layout, On the Bézoutian for polynomial matrices, Determinantal Representations of Stable Polynomials, Subspace projection variants on Newton's method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New inversion formulas for matrices classified in terms of their distance from Toeplitz matrices
- Generalized Bézoutian and matrix equations
- The concepts of a Bezoutiant and a resolvent for operator bundles
- Controllability, observability and the solution of AX-XB=C
- Nonsingular solutions of TA-BT=C
- On the spectral structure of monic matrix polynomials and the extension problem
- The Bezoutian and the eigenvalue-separation problem for matrix polynomials
- Inertia theorems for matrices, controllability, and linear vibrations
- Bezoutiante, Resultante und Spektralverteilungsprobleme für Operatorpolynome
- Efficient construction of canonical ladder forms for vector autoregressive processes
- Generalized Bezoutian and Sylvester matrices in multivariable linear control
- Resultants of matrix polynomials
- Greatest common divisor via generalized Sylvester and Bezout matrices
- Problems of control and information theory (Hungary)
- On Nonnegative Solutions of the Equation $AD + DA' = - C$
- Resultants and the Solution of $AX - XB = - C$
- The Matrix Equation $AX + XB = C$
