The change of the Jordan structure under one row perturbations

DOI10.1016/j.laa.2004.02.003zbMath1092.15007OpenAlexW2083155341MaRDI QIDQ1779388

Niranjan Chakravarthy

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.02.003

zbMATH Keywords

Invariant factorsJordan canonical formsInterlacing inequalitiesStructured perturbationSimilarity invariants

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

Generalized derivatives of eigenvalues of a symmetric matrix ⋮ The change of feedback invariants under one row perturbation ⋮ Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations ⋮ Canonical form associated with the problem of perturbation of one column of a controllable pair ⋮ Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations ⋮ The change of similarity invariants under row perturbations: Generic cases ⋮ The change of similarity invariants under row perturbations ⋮ Low rank perturbation of regular matrix polynomials ⋮ Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations ⋮ The change of feedback invariants under column perturbations: particular cases ⋮ Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations ⋮ Structured perturbation of the Brunovsky form: a particular case ⋮ Perturbations of Jordan matrices ⋮ Eigenstructure of rank one updated matrices ⋮ On a formula of Thompson and McEnteggert for the adjugate matrix ⋮ The change of the Brunovsky structure of a controllable pair under one column perturbation in a particular case ⋮ The effect of finite rank perturbations on Jordan chains of linear operators

Cites Work

• The change of the Jordan structure of a matrix under small perturbations
• 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
• Inequalities: theory of majorization and its applications
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