On the stability of large matrices

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

zbMATH Keywords

normLyapunov equationnumerical experimentsstability radiusstability theoryprojection techniqueexponential of matrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

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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