Miniversal deformations of marked matrices
摘要
Given the set of square matrices M
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 pMn+m(C) such that p−1ap is a Jordan matrix). We derive some applications to tackle the classical Carlson problem.
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 aM, and we compute it explicitely when this matrix is marked (this is, if there is a permutation matrix pMn+m(C) such that p−1ap is a Jordan matrix). We derive some applications to tackle the classical Carlson problem.