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* specially structured Sylvester equation solvers |
* specially structured Sylvester equation solvers |
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* 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] |
* 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] |
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| + | == Further Reading == |
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| + | * 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]. |
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| + | * 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] |
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| + | * 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]. |
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== Contact == |
== Contact == |
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Revision as of 12:44, 23 December 2021
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
-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
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 DOI BibTeX.
- J. Saak, M. Voigt; Model reduction of constrained mechanical systems in M-M.E.S.S; IFAC-PapersOnLine, 51(2): 661–666, 2018. DOI 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. DOI.