On the distance between lattices of invariant subspaces of matrices

DOI10.1016/0024-3795(86)90216-8zbMath0586.15001OpenAlexW1971875357MaRDI QIDQ1071841

Israel Gohberg, Leiba Rodman

Publication date: 1986

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90216-8

zbMATH Keywords

invariant subspaceslatticesfixed Jordan structure

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items (19)

The rate of convergence of real invariant subspaces ⋮ Lipschitz properties of some actions of matrix groups ⋮ Stability index of invariant subspaced of matrices ⋮ Jordan Structures and Lattices of Invariant Subspaces of Real Matrices ⋮ Path components of matrices and strong shift equivalence over \(Q^ +\) ⋮ Path methods for strong shift equivalence of positive matrices ⋮ Stability of invariant subspaces of quaternion matrices ⋮ Lipschitz property for systems of linear mappings and bilinear forms ⋮ Remarks on Lipschitz properties of matrix groups actions ⋮ On algebraic Riccati equations associated with \(M\)-matrices ⋮ A condition for the closeness of the sets of the invariant subspaces of close matrices in terms of their Jordan structures ⋮ Lipschitz properties of structure preserving matrix perturbations ⋮ Hermitian solutions of the discrete-time algebraic Riccati equation ⋮ Which linear transformations have isomorphic hyperinvariant subspace lattices? ⋮ Products of symmetric and skew-symmetric Matrices^∗ ⋮ Research problem: Lipschitz properties of matrix group actions ⋮ Lipschitz stability of canonical Jordan bases of \(H\)-selfadjoint matrices under structure-preserving perturbations ⋮ On the multivariable approximate stochastic realization problem ⋮ On a conjecture of Gohberg and Rodman

Cites Work

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• Matrices and indefinite scalar products
• Semi-stability of sums of partial multiplicities under additive perturbation
• Finite-dimensional points of continuity of Lat
• Stable factorizations of monic matrix polynomials and stable invariant subspaces
• The Stable Solutions of Quadratic Matrix Equations
• The Invariant Subspace Lattice of a Linear Transformation

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