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Miniversal deformations of marked matrices
dc.contributor.author | Compta Creus, Albert |
dc.contributor.author | Ferrer Llop, Josep |
dc.contributor.author | Puerta Sales, Ferran |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-02T16:13:09Z |
dc.date.available | 2007-05-02T16:13:09Z |
dc.date.created | 2001 |
dc.date.issued | 2001 |
dc.identifier.uri | http://hdl.handle.net/2117/837 |
dc.description.abstract | 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. |
dc.format.extent | 20 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Global analysis (Mathematics) |
dc.subject.lcsh | Algebras, Linear |
dc.subject.lcsh | Multilinear algebra |
dc.subject.lcsh | Matrices |
dc.subject.other | Miniversal Deformations |
dc.title | Miniversal deformations of marked matrices |
dc.type | Article |
dc.subject.lemac | Àlgebra lineal |
dc.subject.lemac | Àlgebra multilineal |
dc.subject.lemac | Matriu S, Teoria |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory |
dc.subject.ams | Classificació AMS::15 Linear and multilinear algebra; matrix theory |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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