Jens Saak
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Numerical solution of large and sparse continuous time algebraic matrix Riccati and Lyapunov equations: a state of the art survey
P Benner, J Saak
GAMM‐Mitteilungen 36 (1), 32-52, 2013
Efficient numerical solution of large scale algebraic matrix equations in PDE control and model order reduction.
J Saak
Dissertation, Chemnitz University of Technology, Germany, 2009
Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method
P Benner, P Kürschner, J Saak
Numerical Algorithms 62, 225-251, 2013
Self-Generating and Efficient Shift Parameters in ADI Methods for Large Lyapunov and Sylvester Equations
P Benner, P Kürschner, J Saak
Electronic Transactions on Numerical Analysis. 43, 142-162, 2014
An improved numerical method for balanced truncation for symmetric second-order systems
P Benner, P Kürschner, J Saak
Mathematical and Computer Modelling of Dynamical Systems 19 (6), 593-615, 2013
A semi-discretized heat transfer model for optimal cooling of steel profiles
P Benner, J Saak
Dimension Reduction of Large-Scale Systems 45, 353-356, 2005
Frequency-Limited Balanced Truncation with Low-Rank Approximations
P Benner, P Kürschner, J Saak
SIAM Journal on Scientific Computing 38 (1), A471–A499, 2016
Efficient balancing-based MOR for large-scale second-order systems
P Benner, J Saak
Mathematical and Computer Modelling of Dynamical Systems 17 (2), 123-143, 2011
Riccati-based boundary feedback stabilization of incompressible Navier--Stokes flows
E Bänsch, P Benner, J Saak, HK Weichelt
SIAM Journal on Scientific Computing 37 (2), A832-A858, 2015
On the benefits of the LDLT factorization for large-scale differential matrix equation solvers
N Lang, H Mena, J Saak
Linear Algebra and its Applications, 44-71, 2015
Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction Software
J Fehr, J Heiland, C Himpe, J Saak
AIMS Mathematics 1 (3), 261-281, 2016
On the parameter selection problem in the Newton-ADI iteration for large-scale Riccati equations
P Benner, H Mena, J Saak
Electronic Transactions on Numerical Analysis 29, 136-149, 2008
Sparse-Dense Sylvester equations in H2-model order reduction
P Benner, M Köhler, J Saak
Tech. Rep. MPIMD/11-11, Max Planck Institute Magdeburg Preprints, 2011
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations
P Benner, Z Bujanović, P Kürschner, J Saak
Numerische Mathematik 138 (2), 301-330, 2018
A numerical comparison of different solvers for large-scale, continuous-time algebraic Riccati equations and LQR problems
P Benner, Z Bujanovic, P Kürschner, J Saak
SIAM Journal on Scientific Computing 42 (2), A957-A996, 2020
M-M.E.S.S. - The Matrix Equation Sparse Solver Library
J Saak, S Werner, P Kürschner, N Lang, M Behr, B Baran, M Hund, ...
Zenodo, 2016
Balancing based model reduction for structured index-2 unstable descriptor systems with application to flow control
P Benner, J Saak, MM Uddin
MPI Magdeburg Preprints, 2014
A Galerkin-Newton-ADI method for solving large-scale algebraic Riccati equations
P Benner, J Saak
DFG-SPP1253 Preprints, 2010
Efficient numerical solution of the LQR‐problem for the heat equation
J Saak, P Benner
PAMM: Proceedings in Applied Mathematics and Mechanics 4 (1), 648-649, 2004
Inexact Low-Rank Newton-ADI Method for Large-Scale Algebraic Riccati Equations
P Benner, M Heinkenschloss, J Saak, HK Weichelt
Applied Numerical Mathematics 108, 125–142, 2016
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