# Available software

Most of the software under current development is hosted on the page of the NumPI group on Github.

## Numerical libraries and tools

• HM Toolbox: A toolbox for MATLAB implementing HODLR and HSS rank-structured arithmetic. The toolbox is under active development (especially the HSS part).
• MPSolve 3.1.5: The new version of the MPSolve package for polynomial roots approximation.
• MPSolve 2.2: The older version of MPSolve, released in 2001.
• PGDoubling: A MATLAB package to solve algebraic Riccati equations and optimal control problems using permuted graph bases
• SMCSolver: A software tool to solve some classes of Markov Chains frequently encountered in queuing models.

## Scripts and numerical experiments

• StarSylv: A FORTRAN implementation of the solver for system of $\top$-Sylvester equations described in the paper “Nonsingular systems of generalized Sylvester equations: an algorithmic approach”, by F. De Terán, B. Iannazzo, F. Poloni, L. Robol.
• Rank Structured Hessenberg Reduction: A MATLAB toolbox implementing the rank structured Hessenberg reductino presented in the paper “Fast Hessenberg reduction of some rank structured matrices”, by L. Gemignani and L. Robol.
• Secular linearization: Some Matlab scripts to reproduce the experiments in the paper “On a class of matrix pencils equivalent to a given matrix polynomial”.