Trace norm bounds for stable Lyapunov operators
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Publication:1893101
DOI10.1016/0024-3795(93)00219-PzbMath0826.15009WikidataQ126857649 ScholiaQ126857649MaRDI QIDQ1893101
Publication date: 3 December 1995
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
dynamical systemsFrobenius normRiccati equationdual normsLyapunov equationspower methodtrace operatorsymmetric gauge functioninverse Lyapunov operatortrace norm bounds
Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items (2)
Optimal stochastic forcings for sensitivity analysis of linear dynamical systems ⋮ A note on the Lyapunov equation
Uses Software
Cites Work
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- New bound on the sensitivity of the solution of the Lyapunov equation
- A systolic algorithm for Riccati and Lyapunov equations
- Generalizations of theorems of Lyapunov and Stein
- A LINPACK-style condition estimator for the equation<tex>AX-XB^{T} = C</tex>
- The Sensitivity of the Algebraic and Differential Riccati Equations
- On the Singular “Vectors” of the Lyapunov Operator
- The Sensitivity of the Stable Lyapunov Equation
- A Hessenberg-Schur method for the problem AX + XB= C
- On the Separation of Two Matrices
- Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
- Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
- On norm bounds for algebraic Riccati and Lyapunov equations
- Solution of the Sylvester matrix equation AXB T + CXD T = E
- Trace bounds on the solution of the algebraic matrix Riccati and Lyapunov equation
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Explicit Solutions of Linear Matrix Equations
- Solving the Matrix Equation $\sum _{\rho = 1}^r f_\rho (A)Xg_\rho (B) = C$
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