A condition for the closeness of the sets of the invariant subspaces of close matrices in terms of their Jordan structures

DOI10.1007/BF00971758zbMath0698.15005MaRDI QIDQ912182

V. R. Ol'shevskij

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

approximationinvariant subspacesJordan canonical formfinite dimensional Hilbert spaceJordan structureGohberg-Kaashoek numbers

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (2)

Cyclic dimensions, kernel multiplicities, and Gohberg-Kaashoek numbers ⋮ Lipschitz stability of canonical Jordan bases of \(H\)-selfadjoint matrices under structure-preserving perturbations

Cites Work

• On the distance between lattices of invariant subspaces of matrices
• Semi-stability of sums of partial multiplicities under additive perturbation
• Unsolved problems in matrix and operator theory. I: Partial multiplicities and additive perturbations
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