Difference between revisions of "MESS"

Latest revision as of 15:06, 25 August 2022

MESS, the Matrix Equations and Sparse Solvers library, is the successor to the Lyapack Toolbox for MATLAB. It is 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 auxiliary 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

@@ Line 1: / Line 1: @@
 [[Category:Software]]
-[[Category:Linear Algebra]]
+[[Category:Linear algebra]]
 [[Category:sparse]]
+[[Category:Octave]]
+[[Category:MATLAB]]
-[http://www.mpi-magdeburg.mpg.de/mess MESS], the '''M'''atrix '''E'''quations and '''S'''parse '''S'''olvers library, is the successor to the [http://www.netlib.org/lyapack/ 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.
+[http://www.mpi-magdeburg.mpg.de/projects/mess MESS], the '''M'''atrix '''E'''quations and '''S'''parse '''S'''olvers library, is the successor to the [http://www.netlib.org/lyapack/ Lyapack Toolbox] for MATLAB. It is 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 auxiliary subroutines for sparse matrix computations and efficient usage of modern multicore workstations.
 == Features ==
@@ Line 18: / Line 20: @@
 * specially structured Sylvester equation solvers
 * interfaces to [http://www.netlib.org/blas BLAS], [http://www.netlib.org/lapack LAPACK], [http://www.cise.ufl.edu/research/sparse/SuiteSparse/ Suitesparse], [http://www.slicot.org Slicot]
+== Further Reading ==
+* P.   Benner,  M.   Köhler,  J.   Saak;  ''Matrix  equations,  sparse  solvers:  M-M.E.S.S.-2.0.1  -  philosophy,  features  and  application  for  (parametric) model order reduction''; In: Model Reduction of Complex Dynamical Systems, pp. 369 - 392 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland, 2021 [https://doi.org/10.1007/978-3-030-72983-7_18 DOI] [https://morwiki.mpi-magdeburg.mpg.de/BibTeX/html/mor_bib.html#morBenKS21 BibTeX].
+* J.  Saak, M.  Voigt; ''Model reduction of constrained mechanical systems in M-M.E.S.S''; IFAC-PapersOnLine, 51(2): 661–666, 2018.  [https://doi.org/10.1016/j.ifacol.2018.03.112 DOI] [https://morwiki.mpi-magdeburg.mpg.de/BibTeX/html/mor_bib.html#morSaaV18 BibTeX]
+* P. Benner, J. Saak; ''Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems''; Proceedings in Applied Mathematics and Mechanics, 8(1), Wiley InterScience; 2008. [https://doi.org/10.1002/pamm.200810085 DOI].
 == Contact ==