• Description of characteristic non-hyperinvariant subspaces in GF(2) 

    Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (Elsevier, 2013-12-16)
    Article
    Accés restringit per política de l'editorial
    Given a square matrix A , an A -invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T ) that commute ...
  • Description of characteristic non-hyperinvariant subspaces over the field GF(2) 

    Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (Elsevier, 2013-10-26)
    Article
    Accés restringit per política de l'editorial
    Given a square matrix A, an A-invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T) that commute with A. ...
  • Determinant of a matrix that commutes with a Jordan matrix 

    Montoro López, María Eulalia; Ferrer Llop, Josep; Mingueza, David (Elsevier, 2013-10-30)
    Article
    Accés restringit per política de l'editorial
    Let F be an arbitrary field, Mn(F) the set of all matrices n×n over F and J∈Mn(F) a Jordan matrix. In this paper, we obtain an explicit formula for the determinant of any matrix that commutes with J, i.e., the determinant ...
  • On the existence of a common eigenvector for all matrices in the commutant of a single matrix 

    Magret Planas, Maria dels Dolors; Montoro López, María Eulalia (Elsevier, 2012-09)
    Article
    Accés restringit per política de l'editorial
    The main purpose of this paper is to study common invariant subspaces of any matrix in the centralizer of a given matrix A∈Mn(F), where F denotes an algebraically closed field. In particular, we obtain a necessary and ...
  • Switched linear systems. Geometric approach 

    Magret Planas, Maria dels Dolors; Montoro López, María Eulalia (2011-10)
    Report de recerca
    Accés obert
    We consider equivalence relation between switched linear systems and compute the dimension of equivalence classes, after proving they can be obtained as the orbits of the action of a Lie group on the differentiable manifold ...
  • Two parametric quasi-cyclic codes as hyperinvariants subspaces 

    García Planas, María Isabel; Magret Planas, Maria dels Dolors; Montoro López, María Eulalia (2013)
    Article
    Accés obert
    It is known the relationship between cyclic codes and invariant subspaces. In this work we present a general- ization considering “generalized” cyclic codes and hy- perinvariant subspaces