Similarity of non-everywhere defined linear maps

DOI10.1016/0024-3795(92)90286-JzbMath0749.15006MaRDI QIDQ1189621

Ferran Puerta, Josep Ferrer

Publication date: 27 September 1992

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

zbMATH Keywords

classificationsubspaceinvariant subspacessimilarity invariantsinduced mapsblock similarity of rectangular matricesreduced canonical matrix

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Canonical forms, reductions, classification (15A21)

Related Items (15)

Similarity and block similarity ⋮ Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces ⋮ Structural stability of \((C, A)\)-marked subspaces ⋮ The number of linear transformations defined on a subspace with given invariant factors ⋮ Realizations of perturbations of an observable pair with prescribed indices ⋮ On \((A,B)^t\)-invariant subspaces having extendible Brunovsky bases ⋮ The change of feedback invariants under column perturbations: particular cases ⋮ Global analytic block similarity to a Brunovsky form ⋮ The topology of the set of conditioned invariant subspaces ⋮ Perturbations preserving conditioned invariant subspaces ⋮ Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces ⋮ Global reduction to the Kronecker canonical form of a \(C^r\)-family of time-invariant linear systems ⋮ Miniversal deformations of observable marked matrices ⋮ Invariants of the block tensor product ⋮ A cellular decomposition of the manifold of observable conditioned invariant subspaces

Cites Work

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• Matrices with prescribed rows and invariant factors
• Similarity of operator blocks and canonical forms. I. General results, feedback equivalence and Kronecker indices

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