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 | 1815 | 2015 |
Dimension reduction of large-scale systems P Benner, V Mehrmann, DC Sorensen Springer, 2005 | 601 | 2005 |
Model reduction and approximation: theory and algorithms P Benner, M Ohlberger, A Cohen, K Willcox Society for Industrial and Applied Mathematics, 2017 | 514 | 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 | 418 | 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 | 371 | 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 | 344 | 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 | 292 | 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 | 281 | 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 | 226 | 2009 |
Solving stable generalized Lyapunov equations with the matrix sign function P Benner, ES Quintana-Ortí Numerical Algorithms 20, 75-100, 1999 | 219 | 1999 |
Solving large-scale control problems P Benner IEEE Control Systems Magazine 24 (1), 44-59, 2004 | 213 | 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 | 191 | 2013 |
Model Order Reduction: Volume 3 Applications P Benner, W Schilders, S Grivet-Talocia, A Quarteroni, G Rozza, ... De Gruyter, 2020 | 190 | 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 | 187 | 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 | 184 | 1998 |
An exact line search method for solving generalized continuous-time algebraic Riccati equations R Byers, P Benner IEEE Transactions on Automatic Control, 1998 | 169 | 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 | 140* | 2020 |
Two-sided projection methods for nonlinear model order reduction P Benner, T Breiten SIAM Journal on Scientific Computing 37 (2), B239-B260, 2015 | 140 | 2015 |
Model Reduction for Circuit Simulation P Benner, M Hinze, J ter Maten Springer, 2011 | 138* | 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 | 128 | 1997 |