Simplest miniversal deformations of matrices, matrix pencils, and contragredient matrix pencils

DOI10.1016/S0024-3795(99)00015-4zbMath0949.15017arXiv0710.0946MaRDI QIDQ1970432

Vladimir V. Sergeichuk, Maria Isabel García-Planas

Publication date: 21 March 2000

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

Full work available at URL: https://arxiv.org/abs/0710.0946

zbMATH Keywords

normal formmatrix pencilsminiversal deformations

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21) Matrix pencils (15A22)

Related Items

Holomorphic transformation to a miniversal deformation not always exists under *congruence, Neighborhood radius estimation for Arnold's miniversal deformations of complex and \(p\)-adic matrices, Structure preserving stratification of skew-symmetric matrix polynomials, Miniversal deformations of pairs of symmetric matrices under congruence, Geometry of matrix polynomial spaces, Miniversal deformations of matrices of bilinear forms, Perturbation analysis of a matrix differential equation \(\dot{x} = ABx\), Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations, 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, Generic families of matrix pencils and their bifurcation diagrams, Transformation to versal deformations of matrices, Differentiable families of traceless matrix triples, Miniversal deformations of pairs of skew-symmetric matrices under congruence, Structural stability of matrix pencils and matrix pairs under contragredient equivalence, Versal deformations of matrix products

Cites Work

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• ON MATRICES DEPENDING ON PARAMETERS