Change of the *-congruence canonical form of 2-by-2 matrices under perturbations

DOI10.13001/1081-3810.1608zbMath1288.15015arXiv1304.5762OpenAlexW2963752418MaRDI QIDQ5413920

Lena Klimenko, Vladimir V. Sergeichuk, Vyacheslav M. Futorny

Publication date: 2 May 2014

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5762

zbMATH Keywords

perturbationsdirected graphHasse diagramclosure graphclosure ordering\(^*\)congruence canonical form

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Canonical forms, reductions, classification (15A21)

Related Items (9)

On normal forms of complex points of small C²-perturbations of real 4-manifolds embedded in a complex 3-manifold ⋮ Miniversal deformations of pairs of symmetric matrices under congruence ⋮ Miniversal deformations of matrices under *congruence and reducing transformations ⋮ 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 ⋮ Topological classification of systems of bilinear and sesquilinear forms ⋮ Miniversal deformations of pairs of skew-symmetric matrices under congruence ⋮ On the structure of the solutions to the matrix equation \(G^\ast JG = J\) ⋮ Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization

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