Section: Software

PurityFiltration

Participant : Alban Quadrat [correspondent] .

The PurityFiltration package, built upon the OreModules package, is an implementation of a new effective algorithm obtained in [97] , [77] , [76] which computes the purity/grade filtration [102] , [103] of linear functional systems (e.g., partial differential systems, differential time-delay systems, difference systems) and equivalent block-triangular matrices. See Section  6.1 . 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. This package will soon be available.