Peter Benner
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A survey of projection-based model reduction methods for parametric dynamical systems
P Benner, S Gugercin, K Willcox
SIAM Review 57 (4), 483-531, 2015
Dimension reduction of large-scale systems
P Benner, V Mehrmann, DC Sorensen
Springer, 2005
Model reduction and approximation: theory and algorithms
P Benner, M Ohlberger, A Cohen, K Willcox
Society for Industrial and Applied Mathematics, 2017
Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems
P Benner, JR Li, T Penzl
Numerical Linear Algebra Appl 15 (9), 755-777, 2008
Model order reduction for linear and nonlinear systems: a system-theoretic perspective
U Baur, P Benner, L Feng
Archives of Computational Methods in Engineering 21 (4), 331-358, 2014
SLICOT—A subroutine library in systems and control theory
P Benner, V Mehrmann, V Sima, S Van Huffel, A Varga
Applied and Computational Control, Signals, and Circuits: Volume 1, 499-539, 1999
Interpolatory projection methods for parameterized model reduction
U Baur, C Beattie, P Benner, S Gugercin
SIAM Journal on Scientific Computing 33 (5), 2489-2518, 2011
Lyapunov equations, energy functionals, and model order reduction of bilinear and stochastic systems
P Benner, T Damm
SIAM journal on control and optimization 49 (2), 686-711, 2011
On the ADI method for Sylvester equations
P Benner, RC Li, N Truhar
Journal of Computational and Applied Mathematics 233 (4), 1035-1045, 2009
Solving stable generalized Lyapunov equations with the matrix sign function
P Benner, ES Quintana-Ortí
Numerical Algorithms 20, 75-100, 1999
Solving large-scale control problems
P Benner
IEEE Control Systems Magazine 24 (1), 44-59, 2004
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), 123-143, 2013
Model Order Reduction: Volume 3 Applications
P Benner, W Schilders, S Grivet-Talocia, A Quarteroni, G Rozza, ...
De Gruyter, 2020
Interpolation-Based H_2-Model Reduction of Bilinear Control Systems
P Benner, T Breiten
SIAM Journal on Matrix Analysis and Applications 33 (3), 859-885, 2012
A numerically stable, structure preserving method for computing the eigenvalues of real Hamiltonian or symplectic pencils
P Benner, V Mehrmann, H Xu
Numerische Mathematik 78 (3), 329-358, 1998
An exact line search method for solving generalized continuous-time algebraic Riccati equations
R Byers, P Benner
IEEE Transactions on Automatic Control, 1998
Model Order Reduction: Volume 2: Snapshot-Based Methods and Algorithms
P Benner, W Schilders, S Grivet-Talocia, A Quarteroni, G Rozza, ...
De Gruyter, 2020
Two-sided projection methods for nonlinear model order reduction
P Benner, T Breiten
SIAM Journal on Scientific Computing 37 (2), B239-B260, 2015
Model Reduction for Circuit Simulation
P Benner, M Hinze, J ter Maten
Springer, 2011
An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem
P Benner, H Fassbender
Linear Algebra and Its Applications 263, 75-111, 1997
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