On the Index of Conditional Stability of Stable Invariant Lagrangian Subspaces

DOI10.1137/060678531zbMath1166.15016OpenAlexW1987407783MaRDI QIDQ3537443

Leiba Rodman, André C. M. Ran

Publication date: 6 November 2008

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060678531

zbMATH Keywords

stabilityperturbationsindefinite inner productinvariant subspacesHermitian matrixsymmetric matrixskew-symmetric matrixalgebraic Riccati equationsLagrangian subspaces

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

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Stability of invariant subspaces of quaternion matrices

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