The change of similarity invariants under row perturbations: Generic cases

DOI10.1016/j.laa.2008.03.006zbMath1151.15014OpenAlexW1976614033MaRDI QIDQ929475

Elsie Sterbin Gottlieb

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.03.006

zbMATH Keywords

ControllabilityWeyr characteristicInvariant factorsBrunovsky canonical formInterlacing inequalitiesStructured perturbation

Mathematics Subject Classification ID

Canonical structure (93B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21)

Related Items (5)

Canonical form associated with the problem of perturbation of one column of a controllable pair ⋮ The change of similarity invariants under row perturbations ⋮ The change of feedback invariants under column perturbations: particular cases ⋮ Structured perturbation of the Brunovsky form: a particular case ⋮ The change of the Brunovsky structure of a controllable pair under one column perturbation in a particular case

Cites Work

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• The change of the Jordan structure of a matrix under small perturbations
• The change of feedback invariants under one row perturbation
• Matrices with prescribed rows and invariant factors
• Semi-stability of sums of partial multiplicities under additive perturbation
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• The change of the Jordan structure under one row perturbations
• Inequalities for the degrees of elementary divisors of modules
• Matrices with prescribed invariant factors
• Inequalities: theory of majorization and its applications

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