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 ...
Cantó Colomina, Rafael; Moll López, Santiago Emmanuel; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María(Springer-Verlag, 2020-02-13)
[EN] In this paper we present a Silverman-Ho algorithm-based method to obtain a realization of a polynomial matrix. This method provides the final formulation of a minimal realization directly from a full rank factorization ...
Cantó Colomina, Begoña; Cantó Colomina, Rafael; Urbano Salvador, Ana María(Servicio de Publicaciones de la Universidad de Oviedo, 2021-06-18)
[EN] Let A¿Rn×n be an irreducible totally nonnegative matrix (ITN), that is, A is irreducible with all its minors nonnegative. A triple (n,r,p) is called realizable if there exists an ITN matrix A¿Rn×n with rank(A)=r and ...
[EN] Let be an irreducible totally non-negative matrix with rank r and principal rank p, that is, every minor of A is non-negative and p is the size of the largest invertible principal submatrix of A. Using Number Theory, ...
[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 ...
[EN] Let A be an irreducible totally nonnegative matrix with rank r and principal rank p, that is, all minors of A are nonnegative, r is the size of the largest invertible square submatrix of A and p is the size of its ...
[EN] Let A be an nxn irreducible totally nonnegative matrix with rank r and principal rank p, that is, A is irreducible with all minors nonnegative, r is the size of the largest invertible square submatrix of A and p is ...
Miñana Sellés, Gema(Universitat Politècnica de València, 2018-05-07)
[ES] En este Trabajo Final de Grado (TFG), se estudiará el Modelo Estocástico Log-Normal, basado en un proceso estocástico denominado Movimiento Browniano Geométrico (MBG), para una acción de la compañía Grifols que cotiza ...
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 ...
[EN] Let A is an element of R-nxn be a totally nonpositive matrix (t.n.p.) with rank r and principal rank p, that is, every minor of A is nonpositive and p is the size of the largest invertible principal submatrix of A. ...
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 ...
Cantó Colomina, Begoña; Cantó Colomina, Rafael; Urbano Salvador, Ana María(Universitat Politècnica de València, 2019-06-19)
[ES] En este trabajo presentamos las competencias matemáticas reflejadas en el
Programa Internacional de Evaluación de Estudiantes (PISA) de la Organización para la Cooperación y Desarrollo Económico (OCDE). El objetivo ...
[ES] En este trabajo presentamos un procedimiento para construir un tipo de matrices
llamadas totalmente no positivas, estudiar sus propiedades y obtener las relaciones que
tienen con otra clase de matrices llamadas ...