Peter Benner

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Citations	13865	7756
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Enrique S. Quintana-OrtíUniversitat Politècnica de València, SpainVerified email at disca.upv.es
Jens SaakSenior Scientist, Max Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Volker MehrmannTU BerlinVerified email at math.tu-berlin.de
Heike FassbenderProfessor of Mathematics, Institute for Numerical Analysis, Technische UniversitätVerified email at tu-braunschweig.de
Vasile SimaSenior Researcher, National Institute for Research & Development in Informatics - ICI BucharestVerified email at ici.ro
Pawan GoyalMax Planck Institute for Dynamics of Complex Technical SystemsVerified email at mpi-magdeburg.mpg.de
Patrick KürschnerLeipzig University of Applied Sciences (HTWK Leipzig)Verified email at htwk-leipzig.de
Martin StollTU ChemnitzVerified email at mathematik.tu-chemnitz.de
Sara GrundelMPI MagdeburgVerified email at mpi-magdeburg.mpg.de
Matthias VoigtAssistant Professor, UniDistance Suisse, Brig, SwitzerlandVerified email at fernuni.ch
Tobias BreitenInstitute of Mathematics, Technical University of BerlinVerified email at tu-berlin.de
Jan HeilandPostdoc and JProf., Max Planck Institute and OVGU Magdeburg, GermanyVerified email at mpi-magdeburg.mpg.de
Hermann MenaHumboldt Fellow, Technische Universität Berlin, GermanyVerified email at math.tu-berlin.de
Daniel KressnerEPF LausanneVerified email at epfl.ch
Serkan GugercinClass of 1950 Professor of Mathematics, Virginia TechVerified email at vt.edu
Karen WillcoxOden Institute for Computational Engineering and Sciences, UT AustinVerified email at oden.utexas.edu
Tobias DammProfessor for Systems and Control Theory, University of Kaiserslautern, GermanyVerified email at mathematik.uni-kl.de
Rafael Mayo GualProfessor, Universitat Jaume I de CastellóVerified email at uji.es
Mario OhlbergerProfessor for Applied Mathematics, University of Münster, GermanyVerified email at Uni-Muenster.de
Tatjana StykelUniversität AugsburgVerified email at math.uni-augsburg.de

Peter Benner

Max Planck Institute for Dynamics of Complex Technical Systems

Verified email at mpi-magdeburg.mpg.de - Homepage

Model Reduction Systems and Control Theory Numerical Linear Algebra Numerical Mathematics Scientific Machine Learning


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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	1061	2015
Dimension reduction of large-scale systems P Benner, V Mehrmann, DC Sorensen Springer, 2005	519	2005
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	358	2008
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	322	1999
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	279	2011
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	271	2014
Model reduction and approximation: theory and algorithms P Benner, M Ohlberger, A Cohen, K Willcox Society for Industrial and Applied Mathematics, 2017	250	2017
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	226	2011
Solving stable generalized Lyapunov equations with the matrix sign function P Benner, ES Quintana-Ortí Numerical Algorithms 20 (1), 75-100, 1999	202	1999
Solving large-scale control problems P Benner IEEE Control Systems Magazine 24 (1), 44-59, 2004	188	2004
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	173	1998
On the ADI method for Sylvester equations P Benner, RC Li, N Truhar Journal of Computational and Applied Mathematics 233 (4), 1035-1045, 2009	168	2009
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	155*	2002
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	152	2013
An exact line search method for solving generalized continuous-time algebraic Riccati equations R Byers, P Benner IEEE Transactions on Automatic Control, 1998	148	1998
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	145	2012
Contributions to the numerical solution of algebraic Riccati equations and related eigenvalue problems P Benner Logos-Verlag Berlin, 1997	123	1997
An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem P Benner, H Fassbender Linear Algebra and Its Applications 263, 75-111, 1997	121	1997
Model Reduction for Circuit Simulation P Benner, M Hinze, J ter Maten Springer, 2011	115*	2011
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	111	1997

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