Baragaña, ItziarMartínez Pería, FranciscoRoca Martinez, AliciaTrunk, Carsten2026-04-162026-04-162025-09-150024-3795https://riunet.upv.es/handle/10251/234378[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.Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Linear relationsPerturbationWeyr characteristicKronecker canonical formOne dimensional perturbation problem for linear relationsArtículo10.1016/j.laa.2025.01.017Embargado