Now showing items 1-11 of 11

    • Icon

      Algorithmic Invariants for Alexander Modules  [Chapter of Book]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2006)
      Let $G$ be a group given by generators and relations. It is possible to compute a presentation matrix of a module over a ring through Fox's differential calculus. We show how to use Gröbner bases as an algorithmic tool ...
    • Icon

      An algebraic approach to Integer Portfolio problems  [Article]

      Castro Jiménez, Francisco Jesús; Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Puerto Albandoz, Justo; Ucha Enríquez, José María (2011-05-01)
      Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to ...
    • Icon

      An improved test set approach to nonlinear integer problems with applications to engineering design  [Article]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Puerto Albandoz, Justo; Ucha Enríquez, José María (Springer, 2015-11)
      Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not ...
    • Icon

      Álgebra computacional y programación entera no lineal  [Article]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel (Real Sociedad Matemática Española, 2016)
    • Icon

      Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials  [Article]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2005)
      Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds for the complexity of computing the annihilating ideal of f s = f s1 1 · · · f sp p in D[s] = D[s1, . ...
    • Icon

      Exact cost minimization of a series-parallel reliable system with multiple component choices using an algebraic method  [Article]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Puerto Albandoz, Justo; Ucha Enríquez, José María (2013-11)
      The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple component choices while ensuring a given system reliability level. The obtained model is a nonlinear ...
    • Icon

      Métodos algebraicos basados en test-sets para optimización lineal entera multiobjetivo  [Doctoral Thesis]

      Jiménez Tafur, Haydee (2017-09-14)
      En esta memoria se presenta un nuevo método algebraico para resolver de forma exacta problemas de programación multiobjetivo lineal entera para cualquier número de objetivos. Dicho método está basado en el uso de los ...
    • Icon

      Métodos efectivos en anillos de operadores diferenciales y en sistemas hipergeométricos  [Doctoral Thesis]

      Hartillo Hermoso, Isabel (2002)
      El Análisis Algebraico, o teoría de D-m&oa cute;dulos, trata el estudio de los sistemas de ecuaciones -- en derivadas parciales desde el punto de vista del álgebra y la geometría. Esta teoría generalizada la teoría clásica ...
    • Icon

      Nouvelle Cuisine for the Computation of the Annihilating Ideal of $f^s$  [Chapter of Book]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2005)
      Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$ and let $D = D_n$ be the $n$-th Weyl algebra. The annihilating ideal of $f^s=f_1^{s_1}\cdots f_p^{s_p}$ in $D[s]=D[s_1,\ldots,s_p]$ is a necessary step ...
    • Icon

      Sudokus and Gröbner Bases: not only a Divertimento  [Chapter of Book]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Martín Morales, Jorge; Ucha Enríquez, José María (2006)
      Sudoku is a logic-based placement puzzle. We recall how to translate this puzzle into a 9-colouring problem which is equivalent to a (big) algebraic system of polynomial equations. We study how far Gröbner bases techniques ...
    • Icon

      The Chemist's Cabinet Puzzle: a polynomial approach  [Presentation]

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (Universidad de Granada. Departamento de Álgebra, 2008-09)
      Realizamos un análisis del juego conocido por el herbolario. Se modeliza su solución mediante un sistema polinómico, y deducimos el número de soluciones a partir de herramientas de Álgebra Conmutativa.