Developing BiCOR and CORS methods for coupled Sylvester-transpose and periodic Sylvester matrix equations
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Publication:2285274
DOI10.1016/j.apm.2015.01.026zbMath1443.65055OpenAlexW1971628002MaRDI QIDQ2285274
Publication date: 8 January 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2015.01.026
iterative methodCORS methodSylvester-transpose matrix equationperiodic Sylvester matrix equationBiCOR method
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A matrix LSQR algorithm for solving constrained linear operator equations
- Toward solution of matrix equation \(X=Af(X)B+C\)
- Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
- A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation
- Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations
- LSQR iterative method for generalized coupled Sylvester matrix equations
- A finite iterative method for solving the general coupled discrete-time periodic matrix equations
- Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - a survey and some new results
- Lanczos-type variants of the COCR method for complex nonsymmetric linear systems
- The general coupled matrix equations over generalized bisymmetric matrices
- Toward the sinc-Galerkin method for the Poisson problem in one type of curvilinear coordinate domain
- Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\)
- A finite iterative algorithm for the solution of Sylvester-conjugate matrix equations \(AV+BW=E\overline{V}F+C\) and \(AV+B\overline{W}=E\overline{V}F+C\)
- Three methods for refining estimates of invariant subspaces
- Singular control systems
- Hierarchical gradient-based identification of multivariable discrete-time systems
- The solution to the matrix equation \(AV+BW=EVJ+R\).
- Reachability and observability indices of a discrete-time periodic descriptor system
- Finite iterative algorithm for solving a complex of conjugate and transpose matrix equation
- The solution to matrix equation \(AX+X^TC=B\)
- Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
- Lyapunov matrix equations in system stability and control.
- On Hermitian and Skew-Hermitian Splitting Ietration Methods for the Continuous Sylvester Equations
- Stabilization of linear systems with input delay and saturation-A parametric Lyapunov equation approach
- On the generalized bisymmetric and skew-symmetric solutions of the system of generalized Sylvester matrix equations
- The BiCOR and CORS Iterative Algorithms for Solving Nonsymmetric Linear Systems
- Projected Generalized Discrete-Time Periodic Lyapunov Equations and Balanced Realization of Periodic Descriptor Systems
- Eigenstructure assignment in descriptor systems
- Improving the Efficiency of Matrix Operations in the Numerical Solution of Stiff Ordinary Differential Equations
- Generalized Schur methods with condition estimators for solving the generalized Sylvester equation
- Periodic Lyapunov equations: Some applications and new algorithms
- Weighted steepest descent method for solving matrix equations
- A Parametric Lyapunov Equation Approach to the Design of Low Gain Feedback
- Properties of the Parametric Lyapunov Equation-Based Low-Gain Design With Applications in Stabilization of Time-Delay Systems
- Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations
- Finite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices
- Hierarchical least squares identification methods for multivariable systems
- Gradient based iterative algorithms for solving a class of matrix equations
- A matrix LSQR iterative method to solve matrix equationAXB=C
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