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...
| Authors: | , , |
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| Format: | article |
| Publication Date: | 2001 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/837 |
| Online Access: | https://hdl.handle.net/2117/837 |
| Access Level: | Open access |
| Keyword: | 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 |
| Summary: | 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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