One dimensional perturbation problem for linear relations

Embargado2027-05-31

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BaraganaMartinezRoca - One dimensional perturbation problem for linear relations.pdf (501.59 KB)
LAA2025_pert_linearrelations.pdf (761.07 KB)

Fecha

2025-09-15

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Handle

https://riunet.upv.es/handle/10251/234378

Cita bibliográfica

Baragaña, I.; Martínez Pería, F.; Roca Martinez, Alicia; Trunk, C. (2025). One dimensional perturbation problem for linear relations. Linear Algebra and its Applications. 721:775-808. https://doi.org/10.1016/j.laa.2025.01.017

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Resumen

[EN] We use the recently introduced Weyr characteristic of linear relations in Cn 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.

Palabras clave

Linear relations, Perturbation, Weyr characteristic, Kronecker canonical form

Fuente

Linear Algebra and its Applications issn: 0024-3795

DOI

10.1016/j.laa.2025.01.017

Versión del editor

https://doi.org/10.1016/j.laa.2025.01.017

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