On the stability of large matrices
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Publication:1300772
DOI10.1016/S0377-0427(98)00231-3zbMath0943.15009OpenAlexW2158672051MaRDI QIDQ1300772
Alexander N. Malyshev, Miloud Sadkane
Publication date: 2 September 1999
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0377-0427(98)00231-3
normLyapunov equationnumerical experimentsstability radiusstability theoryprojection techniqueexponential of matrices
Related Items (3)
Discrete-time Lyapunov stability of large matrices ⋮ Exponential stability for systems of delay differential equations with block matrices ⋮ On \(\varepsilon\)-spectra and stability radii
Cites Work
- Stability radii of linear systems
- An effectively calculable parameter for the stability property of a system of linear differential equations with constant coefficients
- Large-scale complex eigenvalue problems
- A block Arnoldi-Chebyshev method for computing the leading eigenpairs of large sparse unsymmetric matrices
- A formula for computation of the real stability radius
- Chebyshev acceleration techniques for large complex non Hermitian eigenvalue problems
- Spectrum dichotomy and a stability criterion for sectorial operators
- On the resolvent condition in the Kreiss matrix theorem
- A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
- Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
- Bounds and perturbation bounds for the matrix exponential
- The Sensitivity of the Matrix Exponential
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