On \((A,B)^t\)-invariant subspaces having extendible Brunovsky bases

DOI10.1016/S0024-3795(96)00001-8zbMath0944.15005MaRDI QIDQ677810

Josep Ferrer, Albert Compta

Publication date: 18 September 2000

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

zbMATH Keywords

invariant subspacesBrunovsky basis

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (8)

Structural stability of \((C, A)\)-marked subspaces ⋮ On the geometry of the generalized partial realization problem ⋮ Feedback invariants of restrictions -- a polynomial approach ⋮ Hermite indices and the action of the feedback group ⋮ Stratification and bundle structure of the set of conditioned invariant subspaces in the general case ⋮ Perturbations preserving conditioned invariant subspaces ⋮ Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces ⋮ Miniversal deformations of observable marked matrices

Cites Work

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• Extensions of Jordan bases for invariant subspaces of a matrix
• Similarity of non-everywhere defined linear maps
• Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces
• Geometric characterization and classification of marked subspaces

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