Cerca
Ara es mostren els items 1-9 de 9
Perturbation analysis of a matrix differential equation ¿x=ABx
(UP4, Institute of Sciences, S.L., 2018)
Article.
Accés restringit per política de l'editorial
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 ...
On simultaneously and approximately simultaneously diagonalizable m-tuples of matrices
(Fundamental Journal of Mathematics and Applications, 2019)
Article.
Accés obert
Article.
Accés obert
In this paper, the problem of simultaneous diagonalization of m-tuples of n-order square complex matrices, is analyzed and some necessary and some necessary and sufficient conditions for this property to be fulfilled are ...
Versal deformations of matrix products
(springer-Verlag, 2019)
Article.
Accés restringit per política de l'editorial
Article.
Accés restringit per política de l'editorial
For each pair (A, B) of m×n and n×m complex matrices, García-Planas and Sergeichuk (Linear Algebra Appl 302(303):45–61, 1999) constructed a family of pairs (Ags,Bgs) of a simple form to which all matrix pairs (A',B') close ...
Differentiable families of traceless matrix triples
(springer-Verlag, 2019-12-06)
Article.
Accés obert
Article.
Accés obert
Analysis of spectra of families of sets of matrices verifying certain properties is not simple because phenomena as singularities and bifurcations appear. An excellent tool for the analysis can be making use of versal ...
State canonical form for a class of uncontrollable linear systems
(Taylor & Francis, 2019-10-16)
Article.
Accés obert
Article.
Accés obert
We tackle the obtaining of canonical forms for classifying linear control systems with regard to changes in the state variables. Although it was solved in the 1980s for controllable systems, it is still an open problem for ...
Geometric classification of monogenic subspaces and uniparametric linear control systems
(Taylor & Francis, 2015)
Article.
Accés obert
Article.
Accés obert
We present a geometric approach to the classification of monogenic invariant subspaces, alternative to the classical algebraic one, which allows us to obtain several matricial canonical forms for each class. Some applications ...
Regularizing algorithm for mixed matrix pencils
(UP4, Institute of Sciences, S.L., 2017-04-18)
Article.
Accés obert
Article.
Accés obert
P. Van Dooren (1979) constructed an algorithm for computing all singular summands of Kronecker’s canonical form of a matrix pencil. His algorithm uses only unitary transformations, which improves its numerical stability. ...
Structural stability of pairs of matrices under contragredient equivalence
(2019)
Article.
Accés obert
Article.
Accés obert
A complex matrix pencil A-¿B is called structurally stable if there exists its neighborhood in which all pencils are strictly equivalent to this pencil. We describe all complex matrix pencils that are structurally stable. ...
Structural stability of matrix pencils and matrix pairs under contragredient equivalence
(2019-01-01)
Article.
Accés obert
Article.
Accés obert
A complex matrix pencil A-¿B is called structurally stable if there exists its neighborhood in which all pencils are strictly equivalent to this pencil. We describe all complex matrix pencils that are structurally stable. ...