There are two natural ways a sparse polynomial system can be decomposed in the sense of (T.Brysiewicz, J.I.Rodriguez, F.Sottile, and T.Yahl, Solving Decomposable Sparse Systems, arXiv:2001.04228, 2019). These methods detect and compute these decompositions and use them to compute solutions.
This documentation describes version 1.0.0 of DecomposableSparseSystems.
The source code from which this documentation is derived is in the file DecomposableSparseSystems.m2. The auxiliary files accompanying it are in the directory DecomposableSparseSystems/.
The object DecomposableSparseSystems is a package.