Given a square matrix A, a Brauer's theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75-91] shows how to modify one single eigenvalue ...
Bru, Rafael; Mas Marí, José; Urbano Salvador, Ana María(Society for Industrial and Applied Mathematics, 1994)
[EN] B. N. Datta and K. Datta have proposed an efficient parallel algorithm for the single-input pole
assignment problem when the spectrum set to be assigned is pairwise distinct and disjoint from the spectrum
of the ...
[ES] Se dice que una matriz es totalmente positiva (se denota por TP) si el determinante de cada una de sus submatrices cuadradas es mayor o igual que cero, y es estrictamente totalmente positiva (denotada por STP) si todos ...
La finalidad de esta comunicación es presentar nuestro trabajo a la comunidad universitaria. Nuestra línea de investigación general se basa en estudiar la teoría matemática de los sistemas de control, concretamente en ...
[EN] The relationship among eigenvalues of a given square matrix A and the rank one updated matrix A+vkq⁎, where vk is an eigenvector of A associated with the eigenvalue λk and q is an arbitrary vector, was described ...
Cantó Colomina, Rafael; Peláez, María J.; Urbano Salvador, Ana María(Elsevier, 2015-02)
[EN] Let A be a rank deficient square matrix. We characterize the unique full rank Cholesky factorization LL^T of A where the factor L is a lower echelon matrix with positive leading entries. We compute an extended ...
Let A = (a(ij)) is an element of R-nxm be a totally nonpositive matrix with rank(A) = r <= min{n, m} and a(11) = 0. In this paper we obtain a characterization in terms of the full rank factorization in quasi-LDU form, that ...
In this work a technique to improve the condition number si of a simple eigenvalue lambda(i) of a matrix A is an element of C-nxn is given. This technique obtains a rank one updated matrix that is similar to A with the ...
The main objective of this work is to model the dynamics of cynegetic populations by means of a linear control system. We want to estimate the annual corrective measures, which may be improvements or hunting, that must be ...
Cantó Colomina, Rafael; Pelaez, María J.; Urbano Salvador, Ana María(Springer, 2016-12)
[EN] A nonpositive real matrix $A= (a_{ij})_{1 \leq i, j \leq n}$ is said to be totally nonpositive (negative) if all its minors are nonpositive (negative) and it is abbreviated as t.n.p. (t.n.). In this work a bidiagonal ...
Cantó Colomina, Rafael; Urbano Salvador, Ana María(Elsevier, 2018-08-15)
[EN] Let A is an element of R-nxn be a totally nonnegative matrix with principal rank p, that is, every minor of A is nonnegative and p is the size of the largest invertible principal submatrix of A. We introduce the ...
Let A = (a(ij)) is an element of R-nxn be a nonsingular totally nonpositive matrix. In this paper we describe some properties of these matrices when a(11) = 0 and obtain a characterization in terms of the quasi-LDU ...
[EN] In this paper we study the stability property of positive linear continuous-time systems. This property is useful to study the asymptotic behavior of a dynamical system and specifically, in positive systems. Stabilization ...