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
-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