Miniversal deformations of marked matrices
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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/837 |
| Acceso en línea: | https://hdl.handle.net/2117/837 |
| Access Level: | acceso abierto |
| Palabra clave: | Global analysis (Mathematics) Algebras, Linear Multilinear algebra Matrices Miniversal Deformations Àlgebra lineal Àlgebra multilineal Matriu S, Teoria Classificació AMS::58 Global analysis, analysis on manifolds::58K Theory of singularities and catastrophe theory Classificació AMS::15 Linear and multilinear algebra matrix theory |
| Sumario: | 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. |
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