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Browsing by Author "Cantó Colomina, Rafael"

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Browsing by Author "Cantó Colomina, Rafael"

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    A Brauer's theorem and related results 
    Bru García, Rafael; Cantó Colomina, Rafael; Soto, Ricardo L.; Urbano Salvador, Ana María (Springer Verlag (Germany), 2012-02)
    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 ...
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    Aplicaciones de las matrices totalmente positivas 
    Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Compobell, S.L, 2014-11-11)
    [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 ...
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    Aplicación del álgebra matricial en el estudio de los sistemas de control de ciertos procesos agroforestales 
    Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Compobell, S.L., 2013-11-12)
    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 ...
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    Eigenstructure of rank one updated matrices 
    Bru García, Rafael; Cantó Colomina, Rafael; Urbano Salvador, Ana María (Elsevier, 2015-11-15)
    [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 ...
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    Full rank Cholesky factorization for rank deficient matrices 
    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 ...
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    Full rank factorization in quasi-LDU form of totally nonpositive rectangular matrices 
    Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Elsevier, 2014-01-01)
    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 ...
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    Improving the condition number of a simple eigenvalue by a rank one matrix 
    Bru García, Rafael; Cantó Colomina, Rafael; Urbano Salvador, Ana María (Elsevier, 2016-08)
    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 ...
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    Modelización de activos cotizados mediante modelos de difusión estocásticos de tipo Itô 
    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 ...
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    Modelling of big game populations when hunting is age and sex selective 
    Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Elsevier, 2011-11)
    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 ...
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    On the characterization of totally nonpositive matrices 
    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 ...
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    On the maximum rank of totally nonnegative matrices 
    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 ...
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    Quasi-LDU factorization of nonsingular totally nonpositive matrices 
    Cantó Colomina, Rafael; Ricarte Benedito, Beatriz; Urbano Salvador, Ana María (Elsevier, 2013-08-15)
    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 ...
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    Stabilization of positive linear continuous-time systems by using a Brauer´s theorem 
    Cantó Colomina, Begoña; Cantó Colomina, Rafael; Urbano Salvador, Ana María (Interlude, 2016-11)
    [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 ...
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    Stabilization of positive linear discrete-time systems by using a Brauer's theorem 
    Cantó Colomina, Begoña; Cantó Colomina, Rafael; Kostova, Snezhana (Hindawi Publishing Corporation, 2014-08-11)
    The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer s theorem is proposed for solving the problem. It allows us to modify some ...