The change of the Weierstrass structure under one row perturbation

[EN] In this work we study the change of the structure of a regular pencil when we perform small perturbations over some of its rows and the other rows remain unaltered. We provide necessary conditions when several rows are perturbed, and prove them to be sufficient to prescribe the homogenous invar...

Descripción completa

Detalles Bibliográficos
Autores: Baragaña. Itziar, Roca Martinez, Alicia|||0000-0003-1926-1895
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/181788
Acceso en línea:https://riunet.upv.es/handle/10251/181788
Access Level:acceso abierto
Palabra clave:Matrix pencil
Perturbation
Weierstrass structure
Weyr characteristic
MATEMATICA APLICADA
Descripción
Sumario:[EN] In this work we study the change of the structure of a regular pencil when we perform small perturbations over some of its rows and the other rows remain unaltered. We provide necessary conditions when several rows are perturbed, and prove them to be sufficient to prescribe the homogenous invariant factors or the Weyr characteristic of the resulting pencil when one row is perturbed.