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Cyclic dimensions, kernel multiplicities, and Gohberg-Kaashoek numbers

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Publication:1913652
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DOI10.1016/S0024-3795(96)90009-9zbMath0851.15009MaRDI QIDQ1913652

Vladimir Matsaev, Vadim Olshevsky

Publication date: 26 November 1996

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


zbMATH Keywords

perturbationsJordan structureGohberg-Kaashoek numberscyclic dimensionskernel multiplicities


Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)


Related Items

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



Cites Work

  • Unnamed Item
  • The change of the Jordan structure of a matrix under small perturbations
  • A condition for the closeness of the sets of the invariant subspaces of close matrices in terms of their Jordan structures
  • Semi-stability of sums of partial multiplicities under additive perturbation
  • Unsolved problems in matrix and operator theory. I: Partial multiplicities and additive perturbations
  • CHANGE OF JORDAN STRUCTURE OFG-SELFADJOINT OPERATORS AND SELFADJOINT OPERATOR-VALUED FUNCTIONS UNDER SMALL PERTURBATIONS
  • Inequalities: theory of majorization and its applications
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