MESS

MESS, the Matrix Equations and Sparse Solvers library, is the successor to the Lyapack Toolbox for MATLAB. It will be available as a MATLAB toolbox, as well as, a C-library. It is intended for solving large sparse matrix equations as well as problems from model order reduction and optimal control. The C version provides a large set of axillary subroutines for sparse matrix computations and efficient usage of modern multicore workstations.

Features

A list of the main features (some partially finished at the current stage) of both the MATLAB and C versions is:

• Solvers for large and sparse matrix Riccati (algebraic and differential) and Lyapunov (algebraic) equations
• Balanced Truncation based MOR for first and second order state space systems and index 1 DAEs
• $\mathcal{H}_2$-MOR via the IRKA and TSIA algorithms
• Basic tools for Large sparse linear quadratic optimal control problems

The C version moreover provides:

• sophisticated Multicore parallelism
• compressed file I/O
• uniform access to linear algebra routines
• specially structured Sylvester equation solvers
• interfaces to BLAS, LAPACK, Suitesparse, Slicot

Contact

Jens Saak