Laurent Granvilliers, Frédéric Benhamou

RealPaver is an interval software for modeling and solving nonlinear systems. Reliable approximations of continuous or discrete solution sets are computed using Cartesian products of intervals. Systems are given by sets of equations or inequality constraints over integer and real variables. Moreover, they may have different natures, being square or nonsquare, sparse or dense, linear, polynomial, or involving transcendental functions.The modeling language permits stating constraint models and tuning parameters of solving algorithms which efficiently combine interval methods and constraint satisfaction techniques. Several consistency techniques (box, hull, and 3B) are implemented. The distribution includes C sources, executables for different machine architectures, documentation, and benchmarks. The portability is ensured by the GNU C compiler.

Article

Laurent Granvilliers,
Frédéric Benhamou,
et al.
"Algorithm 852: RealPaver: an interval solver using constraint satisfaction techniques."
*ACM Transactions on Mathematical Software*.
doi:10.1145/1132973.1132980.
Retrieved 02/19/2019 from researchcompendia.org/compendia/2013.291/

**Compendium Type**: Published Papers

**Primary Research Field**: Computer and Information Sciences

**Secondary Research Field**: Mathematics

**Content License**: Public Domain Mark

**Code License**: MIT License

created 12/12/2013

modified 01/16/2014

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