tinygb: tools for Gröbner bases computations.
Tinygb is a library written in C++ which provides software tools
          for computing grevlex Gröbner bases. In particular, it provides
          an implementation of the F4 algorithm. It is distributed under
          the LGPLv3 license. 
          Project page
rrspace: Effective computations of Riemann-Roch spaces on curves defined over Z/pZ.
rrspace is a software for computing efficiently Riemann-Roch
          spaces on nodal plane curves, based on the work done by Aude Le Gluher during her Master's
          thesis. It also
          implements arithmetic on Jacobians of nodal curves. It is distributed
          under the LGPLv2.1+ license.
          Project
            page
          
NewtonSLRA: Maple library for numerical Structured Low-Rank Approximation.
Library: NewtonSLRA.tar.gzMaple source code: NewtonSLRA.mpl approxGCD.mpl matrixCompletion.mpl
Installation, documentation and examples.
This Maple library implements the algorithm NewtonSLRA from the paper A Quadratically Convergent Algorithm for Structured Low-Rank Approximation (joint work with Eric Schost). It also provides routines for univariate approximate GCD and Low-Rank matrix completion based on NewtonSLRA.