Browsing by Author "Montoro López, María Eulalia"

Description of characteristic nonhyperinvariant subspaces in GF(2)
Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (Elsevier, 20131216)
Article
Restricted access  publisher's policyGiven 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 nonhyperinvariant subspaces over the field GF(2)
Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón (Elsevier, 20131026)
Article
Restricted access  publisher's policyGiven a square matrix A, an Ainvariant 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, 20131030)
Article
Restricted access  publisher's policyLet 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, 201209)
Article
Restricted access  publisher's policyThe 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 (201110)
External research report
Open AccessWe 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 quasicyclic codes as hyperinvariants subspaces
García Planas, María Isabel; Magret Planas, Maria dels Dolors; Montoro López, María Eulalia (2013)
Article
Open AccessIt 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