• Miniversal deformations of observable marked matrices 

      Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta (2012)
      Report de recerca
      Accés obert
      Given the set of vertical pairs of matrices M¿ Mm,n(C)×Mn(C) keeping the subspace Cd×{0} ¿ Cn invariant, we compute miniversal deformations of a given pair when it is observable and the subspace Cd × {0} is marked. ...
    • Perturbation analysis of a matrix differential equation ¿x=ABx 

      García Planas, María Isabel; Klymchuk, Tetiana (UP4, Institute of Sciences, S.L., 2018)
      Article
      Accés restringit per política de l'editorial
      Two complex matrix pairs (A,B) and (A',B') are contragrediently equivalent if there are nonsingular S and R such that (A',B')=(S-1AR,R-1BS). M.I. García-Planas and V.V. Sergeichuk (1999) constructed a miniversal deformation ...
    • Perturbations preserving conditioned invariant subspaces 

      Peña Carrera, Marta; Compta Creus, Albert; Ferrer Llop, Josep (2010)
      Comunicació de congrés
      Accés obert
      Given the set of matrix pairs M ⊂ Mm,n(C) × Mn(C) keeping a subspace S ⊂ Cn invariant, we obtain a miniversal deformation of a pair belonging to an open dense subset of M. It generalizes the known results when S is a ...