On perturbations and the equivalence orbit of a matrix pencil
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Publication:1080918
DOI10.1016/0024-3795(86)90144-8zbMath0601.15008OpenAlexW1985031765MaRDI QIDQ1080918
Publication date: 1986
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(86)90144-8
Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)
Related Items (24)
Minimal singularities in orbit closures of matrix pencils. ⋮ Safety neighbournoods for the invariants of the matrix similarity∗ ⋮ Similarity and block similarity ⋮ Sylvester matrix equation for matrix pencils ⋮ Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures ⋮ Generic symmetric matrix pencils with bounded rank ⋮ Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree ⋮ Stratification of full rank polynomial matrices ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ Jordan-Kronecker invariants of Lie algebra representations and degrees of invariant polynomials ⋮ Partial Degeneration of Tensors ⋮ Canonical form associated with the problem of perturbation of one column of a controllable pair ⋮ Generic Eigenstructures of Hermitian Pencils ⋮ The change of similarity invariants under row perturbations ⋮ Perturbation theory of matrix pencils through miniversal deformations ⋮ Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence ⋮ An explicit description of the irreducible components of the set of matrix pencils with bounded normal rank ⋮ The change of feedback invariants under column perturbations: particular cases ⋮ Structured perturbation of the Brunovsky form: a particular case ⋮ Structural stability of matrix pencils and matrix pairs under contragredient equivalence ⋮ The algebraic structure of pencils and block Toeplitz matrices ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian ⋮ Pencils of complex and real symmetric and skew matrices ⋮ On bundles of matrix pencils under strict equivalence
Cites Work
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- The computation of Kronecker's canonical form of a singular pencil
- Perturbation theory for nullity, deficiency and other quantities of linear operators
- The closure of the similarity orbit of a Hilbert space operator
- Algebraic spectral problems
- On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
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