Structural stability of matrix pencils and matrix pairs under contragredient equivalence
A complex matrix pencil A-¿B is called structurally stable if there exists its neighborhood in which all pencils are strictly equivalent to this pencil. We describe all complex matrix pencils that are structurally stable. It is shown that there are no pairs (M,N) of m × n and n × m complex matrices...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2019 |
| 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:2117/175475 |
| Acceso en línea: | https://hdl.handle.net/2117/175475 https://dx.doi.org/10.1007/s11253-019-01676-x |
| Access Level: | acceso abierto |
| Palabra clave: | Matrices Differential equations, Linear Structural stability Matrix pair Contragredient equivalence Matrius (Matemàtica) Equacions diferencials lineals Classificació AMS::15 Linear and multilinear algebra matrix theory Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | A complex matrix pencil A-¿B is called structurally stable if there exists its neighborhood in which all pencils are strictly equivalent to this pencil. We describe all complex matrix pencils that are structurally stable. It is shown that there are no pairs (M,N) of m × n and n × m complex matrices (m, n = 1) that are structurally stable under the contragredient equivalence (S-1MR,R-1NS) in which S and R are nondegenerate |
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