Weichelt, Heiko K.
The M-M.E.S.S. toolbox provides solvers for large-scale, sparse, symmetric linear and quadratic matrix equations. These can be algebraic and differential equations and the solvers are in their core all based on the low-rank ADI method. M-M.E.S.S. can be seen as the successor to the LyaPack toolbox with an improved formulation of the ADI, that now properly supports generalized state space systems, but also special structured DAEs. It features additional solvers for differential equations, improved shift parameter computation and a guarantee to compute real low-rank factorizations, but follows the same general philosophy of user supplied functions that the LyaPack toolbox used.
The Software is provided as a Matlab toolbox (mltbx) file, an Octave package (tar.gz) and a zip-archive. The toolbox-file needs a recent Matlab version to install properly. The Octave package was tested in Octave 4.0 and above. The content of the zip-archive is equipped with all functions to also run on older releases. In order to get all functions registered properly, change to the installation folder and run the mess_path function. This will set the searchpath correctly for the current session.