One dimensional perturbation problem for linear relations

[EN] We use the recently introduced Weyr characteristic of linear relations in $\mathbb C^n$ and its relation with the Kronecker canonical form of matrix pencils to describe their dimension. Then, this is applied to study one-dimensional perturbations of linear relations.

Detalhes bibliográficos
Autores: Baragaña, Itziar, Martínez Pería, Francisco, Trunk, Carsten, Roca Martinez, Alicia|||0000-0003-1926-1895
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:dnet:riunet______::cbf5c5676efbbc877d61c350f6311d06
Acesso em linha:https://riunet.upv.es/handle/10251/234378
Access Level:acceso embargado
Palavra-chave:Linear relations
Perturbation
Weyr characteristic
Kronecker canonical form
Descrição
Resumo:[EN] We use the recently introduced Weyr characteristic of linear relations in $\mathbb C^n$ and its relation with the Kronecker canonical form of matrix pencils to describe their dimension. Then, this is applied to study one-dimensional perturbations of linear relations.