TOP 10 publications

This is a compilation of the top 10 featured publications. For extended lists, please use the category links above.
(*) is the number of citation

1500* A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
Peter Benner, Serkan Gugercin, and Karen Willcox
SIAM Review, Vol. 57, Issue 4, pp. 483–531, 2015.
DOI: 10.1137/130932715
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/13-14, August 2013.
560* Dimension Reduction of Large-Scale Systems
Peter Benner, Volker Mehrmann, and Danny C. Sorensen (Eds.)
Lecture Notes in Computational Science and Engineering, Vol. 45, Springer-Verlag, Berlin/Heidelberg, June 2005.
[ISBN: 3-540-24545-6]
DOI: 10.1007/3-540-27909-1
408* Numerical Solution of Large-scale Lyapunov Equations, Riccati Equations, and Linear-Quadratic Control Problems
Peter Benner, Jing-Rebecca Li, and Thilo Penzl
Numerical Linear Algebra with Applications, Vol. 15, No. 9, pp. 755-777, 2008.
DOI: 10.1002/nla.622
389* Model Reduction and Approximation: Theory and Algorithms
Peter Benner, Albert Cohen, Mario Ohlberger, and Karen Willcox (Eds.)
Computational Science and Engineering, Vol. 15, SIAM Publications, Philadelphia, PA, 2017.
[ISBN: 978-1-611974-81-2]
DOI: 10.1137/1.9781611974829
343* SLICOT - A Subroutine Library in Systems and Control Theory
Peter Benner, Volker Mehrmann, Vasile Sima, Sabine Van Huffel, and Andras Varga
Applied and Computational Control, Signals, and Circuits, Vol. 1, pp. 505-546, 1999.
The retrievable version appeared as NICONET Report 97-03, Working Group on Software, June 1997.
334* Model Order Reduction for Linear and Nonlinear Systems: a System-Theoretic Perspective
Peter Benner, Ulrike Baur, and Lihong Feng
Archives of Computational Methods in Engineering, Vol. 21, No. 4, pp. 331–358, 2014.
DOI: 10.1007/s11831-014-9111-2
Preliminary version appeared as MPI Magdeburg Preprint MPIMD/14-07, March 2014.
275* Interpolatory Projection Methods for Parameterized Model Reduction
Ulrike Baur, Christopher Beattie, Peter Benner, and Serkan Gugercin
SIAM Journal on Scientific Computing, Vol. 33, Issue 5, pp. 2489-2518, 2011.
DOI: 10.1137/090776925
Preliminary version appeared as Chemnitz Scientific Computing Preprints 09-08, TU Chemnitz, November 2009.
266* Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
Peter Benner and Tobias Damm
SIAM Journal on Control and Optimization, Vol. 49, No. 2, pp. 686-711, 2011.
DOI: 10.1137/09075041X
216* Solving Stable Generalized Lyapunov Equations with the Matrix Sign Function
Peter Benner and Enrique S. Quintana-Ortí
Numerical Algorithms, Vol. 20, No. 1, pp. 75-100, 1999.
DOI: 10.1023/A:1019191431273
Preliminary version appeared as Preprint SFB393/97-23, Sonderforschungsbereich 393 - Numerische Simulation auf massiv parallelen Rechnern, TU Chemnitz, October 1997.
203* On the ADI Method for Sylvester Equations
Peter Benner, Reng-Cang Li, and Ninoslav Truhar
Journal of Computational and Applied Mathematics, Vol. 233, No. 4, pp. 1035-1045, 2009.
DOI: 10.1016/