Peter Benner
TitleCited byYear
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
592*2015
Dimension reduction of large-scale systems
P Benner, V Mehrmann, DC Sorensen
Springer, 2005
4262005
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
3132008
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, 499-539, 1999
3031999
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
2242011
Solving stable generalized Lyapunov equations with the matrix sign function
P Benner, ES Quintana-Ortí
Numerical Algorithms 20 (1), 75-100, 1999
1881999
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
1842014
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
1612011
Solving large-scale control problems
P Benner
IEEE Control Systems Magazine 24 (1), 44-59, 2004
1612004
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
1611998
On the ADI method for Sylvester equations
P Benner, RC Li, N Truhar
Journal of Computational and Applied Mathematics 233 (4), 1035-1045, 2009
1432009
An exact line search method for solving generalized continuous-time algebraic Riccati equations
R Byers, P Benner
IEEE Transactions on Automatic Control, 1998
1351998
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
1182013
Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems
P Benner
Logos-Verlag Berlin, 1997
1121997
Numerical computation of deflating subspaces of skew-Hamiltonian/Hamiltonian pencils
P Benner, R Byers, V Mehrmann, H Xu
SIAM Journal on Matrix Analysis and Applications 24 (1), 165-190, 2002
1112002
An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem
P Benner, H Fassbender
Linear Algebra and Its Applications 263, 75-111, 1997
1101997
A new method for computing the stable invariant subspace of a real Hamiltonian matrix
P Benner, V Mehrmann, H Xu
Journal of Computational and Applied Mathematics 86 (1), 17-43, 1997
1071997
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
1062012
Model reduction and approximation: theory and algorithms
P Benner, A Cohen, M Ohlberger, K Willcox
SIAM, 2017
1022017
A collection of benchmark examples for the numerical solution of algebraic Riccati equations I: Continuous-time case
P Benner, AJ Laub, V Mehrmann
971995
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Articles 1–20