Section: New Software and Platforms

PurityFiltration

Participant : Alban Quadrat [correspondent] .

The PurityFiltration package, built upon the OreModules package, is an implementation of a new effective algorithm obtained in [24] which computes the purity/grade filtration [67] , [68] of linear functional systems (e.g., partial differential systems, differential time-delay systems, difference systems) and equivalent block-triangular matrices. This package is used to compute closed form solutions of over/underdetermined linear partial differential systems which cannot be integrated by the standard computer algebra systems such as Maple and Mathematica. For more information, see http://pages.saclay.inria.fr/alban.quadrat/OreAlgebraicAnalysis/index.html .