A note on the Lyapunov equation
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Publication:1362625
DOI10.1016/S0024-3795(96)00242-XzbMath0881.15016OpenAlexW2075872666MaRDI QIDQ1362625
Publication date: 5 August 1997
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00242-x
Matrix equations and identities (15A24) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)
Related Items (11)
A pointwise weak-majorization inequality for linear maps over Euclidean Jordan algebras ⋮ Optimal stochastic forcings for sensitivity analysis of linear dynamical systems ⋮ A Hölder type inequality and an interpolation theorem in Euclidean Jordan algebras ⋮ Bifurcation conditions for the solutions of the Lyapunov equation in a Hilbert space ⋮ Hamiltonian actions on the cone of positive definite matrices ⋮ Global stabilizer of a general class of feedback nonlinear systems and its exponential convergence ⋮ Cauchy--Schwarz norm inequalities for weak*-integrals of operator valued functions ⋮ Positive and doubly stochastic maps, and majorization in Euclidean Jordan algebras ⋮ Systematic Measures of Biological Networks II: Degeneracy, Complexity, and Robustness ⋮ Norm inequalities for elementary operators and other inner product type integral transformers with the spectra contained in the unit disc ⋮ ON THE SENSITIVITY OF THE SOLUTION OF THE GENERALIZED LYAPUNOV EQUATION
Cites Work
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- Inertia characteristics of self-adjoint matrix polynomials
- Perturbation of spectral subspaces and solution of linear operator equations
- Majorization, doubly stochastic matrices, and comparison of eigenvalues
- Trace norm bounds for stable Lyapunov operators
- A note on unitary operators in \(C^ *\)-algebras
- The Sensitivity of the Stable Lyapunov Equation
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