2025-02-122025-02-122018-08-23Hartillo Hermoso, I., Jiménez Cobano, J.M. y Ucha Enríquez, J.M. (2018). Finding Multiple Solutions in Nonlinear Integer Programming with Algebraic Test-Sets. En Computer Algebra in Scientific Computing (CASC 2018) Vol. 11077 LNCS. Lecture Notes in Computer Science (230-237), Lille, France: Springer.978-3-319-99638-70302-97431611-3349https://hdl.handle.net/11441/168555We explain how to compute all the solutions of a nonlinear integer problem using the algebraic test-sets associated to a suitable linear subproblem. These test-sets are obtained using Gr¨obner bases. The main advantage of this method, compared to other available alternatives, is its exactness within a quite good efficiency.application/pdf8 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess10.1007/978-3-319-99639-4_16