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- Jesús Gago-Vargas, Maria Isabel Hartillo-Hermoso, Jose Maria Ucha-Enríquez
- J. Symb. Comput.
- 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 fs = f1 1 · · · f sp… (More)

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… (More)

- Francisco Jesus Castro-Jiménez, Jose Maria Ucha-Enríquez
- J. Symb. Comput.
- 2006

- F. E. Castro-Jiménez, Jesús Gago-Vargas, Maria Isabel Hartillo-Hermoso, Justo Puerto, Jose Maria Ucha-Enríquez
- European Journal of Operational Research
- 2011

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… (More)

- Francisco Jesus Castro-Jiménez, Jose Maria Ucha-Enríquez
- J. Symb. Comput.
- 2001

Let R = C[x1, . . . , xn] be the ring of complex polynomials in n variables. Denote by ∂i = ∂ ∂xi the partial derivative with respect to xi and by An = R〈∂1, . . . , ∂n〉 the complex Weyl algebra of… (More)

- Jesús Gago-Vargas, Maria Isabel Hartillo-Hermoso, Justo Puerto, Jose Maria Ucha-Enríquez
- Computers & OR
- 2013

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… (More)

- Francisco Jesus Castro-Jiménez, Jose Maria Ucha-Enríquez
- Experimental Mathematics
- 2004

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 the properties required for D, x to satisfy the so-called Logarithmic… (More)

- José Manuel Jiménez Cobano, Jose Maria Ucha-Enríquez
- Electronic Notes in Discrete Mathematics
- 2018

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 Gröbner bases. We… (More)

- Jesús Gago-Vargas, Maria Isabel Hartillo-Hermoso, Justo Puerto, Jose Maria Ucha-Enríquez
- Comp. Opt. and Appl.
- 2015

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… (More)