Data

NameUcha Enríquez, José María
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
E-mailRequest
           

  Statistics

  • Items

    26

  • Visits

    1744

  • Downloads

    1928

  Publications

 

Article
Icon

An exact algebraic ϵ-constraint method for bi-objective linear integer programming based on test sets

Hartillo Hermoso, Isabel; Jiménez Tafur, Haydee; Ucha Enríquez, José María (Elsevier, 2020-01-01)
A new exact algorithm for bi-objective linear integer problems is presented, based on the classic - constraint method and ...
Article
Icon

Finding multiplies solutions for non-linear integer programming

Jiménez Cobano, José Manuel; Ucha Enríquez, José María (Elsevier, 2018-01-01)
We explain how to compute all the solutions of a nonlinear integer problem using the algebraic test-sets associated to some linear subproblem. These test-sets are obtained using Gr¨obner bases. We compare our method with previous approaches
Presentation
Icon

Finding Multiple Solutions in Nonlinear Integer Programming with Algebraic Test-Sets

Hartillo Hermoso, Isabel; Jiménez Cobano, J.M.; Ucha Enríquez, José María (Springer, 2018-01-01)
We explain how to compute all the solutions of a nonlinear integer problem using the algebraic test-sets associated to a ...
PhD Thesis
Icon

Métodos algebraicos basados en test-sets para optimización lineal entera multiobjetivo

Ucha Enríquez, José María; Hartillo Hermoso, Isabel; Jiménez Tafur, Haydee (2017-09-14)
En esta memoria se presenta un nuevo método algebraico para resolver de forma exacta problemas de programación multiobjetivo ...
Article
Icon

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

Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Puerto Albandoz, Justo; Ucha Enríquez, José María (Springer, 2015-11-01)
Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test ...
Article
Icon

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

Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Puerto Albandoz, Justo; Ucha Enríquez, José María (2013-11-01)
The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple ...
Article
Icon

Exact cost minimization of a series-parallel system

Castro Jiménez, Francisco Jesús; Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (Cornell University, 2012-01-01)
The redundancy allocation problem is formulated minimizing the design cost for a series-parallel system with multiple ...
Article
Icon

An algebraic approach to Integer Portfolio problems

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 ...
Presentation
Icon

The Chemist's Cabinet Puzzle: a polynomial approach

Cortadellas Izquierdo, Ó. A.; Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (Universidad de Granada. Departamento de Álgebra, 2008-09-01)
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.
Article
Icon

Localization at hyperplane arrangements: combinatorics and D-modules

Álvarez Montaner, Josep; Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2007-10-15)
We describe an algorithm deciding if the annihilating ideal of the meromorphic function 1 f , where f = 0 defines an ...
Article
Icon

A vanishing theorem for a class of logarithmic D-modules

Castro Jiménez, Francisco Jesús; Gago Vargas, J.; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (Cornell University, 2007-01-01)
Let OX (resp. DX) be the sheaf of holomorphic functions (resp. the sheaf of linear differential operators with holomorphic ...
Chapter of Book
Icon

Sudokus and Gröbner Bases: not only a Divertimento

Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Martín Morales, Jorge; Ucha Enríquez, José María (2006-01-01)
Sudoku is a logic-based placement puzzle. We recall how to translate this puzzle into a 9-colouring problem which is equivalent ...
Chapter of Book
Icon

Algorithmic Invariants for Alexander Modules

Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2006-01-01)
Let $G$ be a group given by generators and relations. It is possible to compute a presentation matrix of a module over a ...
Article
Icon

Gröbner bases and logarithmic D-modules

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2006-01-01)
Let C[x] = C[x1, . . . , xn] be the ring of polynomials with complex coefficients and An the Weyl algebra of order n over ...
Chapter of Book
Icon

Nouvelle Cuisine for the Computation of the Annihilating Ideal of $f^s$

Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2005-01-01)
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 ...
Article
Icon

Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials

Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2005-01-01)
Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds ...
Article
Icon

Logarithmic Comparison Theorem and some Euler homogeneous free divisors

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (American Mathematical Society, 2005-01-01)
Let D, x be a free divisor germ in a complex manifold X of dimension n > 2. It is an open problem to find out which are ...
Article
Icon

On the computation of Bernstein–Sato ideals

Ucha Enríquez, José María; Castro Jiménez, Francisco Jesús (Elsevier, 2004-01-01)
In this paper we compare the approach of Brianc¸onand Maisonobe for computing Bernstein–Sato ideals—based on computations ...
Article
Icon

Quasi-free divisors and duality

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2004-01-01)
We prove a duality theorem for some logarithmic D-modules associated with a class of divisors. We also give some results for the locally quasi-homogeneous case.
Article
Icon

Testing the Logarithmic Comparison Theorem for Free Divisors

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Taylor and Francis, 2004-01-01)
Article
Icon

Free divisors and duality for D-modules

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Pleiades, 2002-01-01)
The relationship between D-modules and free divisors has been studied in a general setting by L. Narváez and F.J. Calderón. ...
Article
Icon

A computational approach to the D-module of meromorphic functions

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (2001-01-01)
Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.
Article
Icon

Explicit Comparison Theorems for D -modules

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Elsevier, 2001-01-01)
We prove in an explicit way a duality formula between two A2-modules Mlog and Mflog associated to a plane curve and we ...
Presentation
Icon

A computational approach to free divisors and logarithmic D-modules

Ucha Enríquez, José María; Castro Jiménez, Francisco Jesús (Universidad de La Rioja, Departamento de Matemáticas y Computación, 2001-01-01)
We apply algorithmic techniques for comparing some D-modules associated to a kind of divisors in Cn.
Article
Icon

On some D-modules in dimension 2

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (Cornell University, 2000-01-01)
We prove a duality formula for two D-modules arising from logarithmic derivations w.r.t. a plane curve. As an application we give a differential proof of a logarithmic comparison theorem in [4].
PhD Thesis
Icon

Métodos constructivos en álgebras de operadores diferenciales

Castro Jiménez, Francisco Jesús; Ucha Enríquez, José María (1999-01-01)