Given the set of square matricesM⊂Mn+m(C) that keep the subspace W = Cnx{0} ⊂ Cn+m invariant, we obtain the implicit form of a miniversal deformation of a matrix a∈M, and we compute it explicitely when this matrix is marked (this is, if there is a permutation matrix p ∈ Mn+m(C) such that p−1ap is a Jordan matrix). We derive some applications to tackle the classical Carlson problem
AbstractGiven an observable pair of matrices (C,A) we consider the manifold of (C,A)-invariant subsp...
AbstractSoit A∈Mn(C), où Mn(C) désigne l'ensemble des matrices n×n à coefficients complexes. Nous mo...
Keywords: Bimodal piecewise linear system, miniversal deformations, reduced forms.Bimodal linear sys...
Given the set of square matrices M ⊂ Mn+m(C) that keep the subspace W = Cnx{0} ⊂ Cn+m invariant, we ...
Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invari...
Arnold [V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971) 29-43]...
Given the set of matrix pairs M ⊂ Mm,n(C) × Mn(C) keeping a subspace S ⊂ Cn invariant, we obtain a m...
Miniversal deformations for pairs of skew-symmetric matrices under congruence are constructed. To be...
AbstractWe study the perturbations of triples of matrices, and we give explicitly a miniversal defor...
V.I. Arnold [Russian Math. Surveys, 26 (no. 2), 1971, pp. 29–43] gave a miniversal deformation of m...
AbstractArnold [V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971...
AbstractFor a family of linear operators A(λ→):U→U over C that smoothly depend on parameters λ→=(λ1,...
Given an orbit space of matrices $M/\Gamma$ and an equivalence relation defined in it by means of th...
AbstractIn this paper a complete description including multiplicity is given for the Jordan structur...
Given a matrix A is an element of C-nxn there exists a nonsingular matrix V such that V-1 AV = J, wh...
AbstractGiven an observable pair of matrices (C,A) we consider the manifold of (C,A)-invariant subsp...
AbstractSoit A∈Mn(C), où Mn(C) désigne l'ensemble des matrices n×n à coefficients complexes. Nous mo...
Keywords: Bimodal piecewise linear system, miniversal deformations, reduced forms.Bimodal linear sys...
Given the set of square matrices M ⊂ Mn+m(C) that keep the subspace W = Cnx{0} ⊂ Cn+m invariant, we ...
Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invari...
Arnold [V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971) 29-43]...
Given the set of matrix pairs M ⊂ Mm,n(C) × Mn(C) keeping a subspace S ⊂ Cn invariant, we obtain a m...
Miniversal deformations for pairs of skew-symmetric matrices under congruence are constructed. To be...
AbstractWe study the perturbations of triples of matrices, and we give explicitly a miniversal defor...
V.I. Arnold [Russian Math. Surveys, 26 (no. 2), 1971, pp. 29–43] gave a miniversal deformation of m...
AbstractArnold [V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971...
AbstractFor a family of linear operators A(λ→):U→U over C that smoothly depend on parameters λ→=(λ1,...
Given an orbit space of matrices $M/\Gamma$ and an equivalence relation defined in it by means of th...
AbstractIn this paper a complete description including multiplicity is given for the Jordan structur...
Given a matrix A is an element of C-nxn there exists a nonsingular matrix V such that V-1 AV = J, wh...
AbstractGiven an observable pair of matrices (C,A) we consider the manifold of (C,A)-invariant subsp...
AbstractSoit A∈Mn(C), où Mn(C) désigne l'ensemble des matrices n×n à coefficients complexes. Nous mo...
Keywords: Bimodal piecewise linear system, miniversal deformations, reduced forms.Bimodal linear sys...