Publications of Peter Benner

Benner, P.; Quintana-Ortí, E. S.; Quintana-Ortí, G.: Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel Computers. Mathematical and Computer Modelling of Dynamical Systems 6 (4), pp. 383 - 405 (2000)

Benner, P.: Computational Methods for Linear-Quadratic Optimization. Rendiconti del Circolo Matematico di Palermo, Supplemento Serie II, 58, pp. 21 - 56 (1999)

Benner, P.; Claver, J.; Quintana-Ortí, E. S.: Parallel Distributed Solvers for Large Stable Generalized Lyapunov Equations. Parallel Processing Letters 9 (1), pp. 147 - 158 (1999)

Benner, P.; Faßbender, H.; Watkins, D.: SR and SZ Algorithms for the Symplectic (Butterfly) Eigenproblem. Linear Algebra and its Applications 287 (1-3), pp. 41 - 76 (1999)

Benner, P.; Mehrmann, V.; Xu, H.: A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue Problems. Electronic Transactions on Numerical Analysis 8, pp. 115 - 126 (1999)

Benner, P.; Quintana-Ortí, E. S.: Solving Stable Generalized Lyapunov Equations with the Matrix Sign Function. Numerical Algorithms 20 (1), pp. 75 - 100 (1999)

Benner, P.; Byers, R.: An Exact Line Search Method for Solving Generalized Continuous-Time Algebraic Riccati Equations. IEEE Transactions on Automatic Control 43 (1), pp. 101 - 107 (1998)

Benner, P.; Faßbender, H.: The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos Method. Linear Algebra and its Applications 275-276, pp. 19 - 47 (1998)

Benner, P.; Faßbender, H.; Watkins, D.: Two Connections between the SR and HR Eigenvalue Algorithms. Linear Algebra and its Applications 272 (1-3), pp. 17 - 32 (1998)

Benner, P.; Mehrmann, V.; Xu, H.: A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic Pencils. Numerische Mathematik 78 (3), pp. 329 - 358 (1998)

Benner, P.; Faßbender, H.: An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue Problem. Linear Algebra and its Applications 263, pp. 75 - 111 (1997)

Benner, P.; Laub, A. J.; Mehrmann, V.: Benchmarks for the Numerical Solution of Algebraic Riccati Equations. IEEE Control Systems Magazine 17 (5), pp. 18 - 28 (1997)

Benner, P.; Mehrmann, V.; Xu, H.: A New Method for Computing the Stable Invariant Subspace of a Real Hamiltonian Matrix. Journal of Computational and Applied Mathematics 86 (1), pp. 17 - 43 (1997)

Ammar, G.; Benner, P.; Mehrmann, V.: A Multishift Algorithm for the Numerical Solution of Algebraic Riccati Equations. Electronic Transactions on Numerical Analysis 1, pp. 33 - 48 (1993)

Benner, P.; Burger, M.; Göddeke, D.; Görgen, C.; Himpe, C.; Hintermüller, M.; Heiland, J.; Koprucki, T.; Ohlberger, M.; Rave, S. et al.; Reidelbach, M.; Saak, J.; Schöbel, A.; Tabelow, K.; Weber, M.: Die mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative). (2022)

Benner, P.; Faßbender, H.: Modellreduktion: Eine systemtheoretisch orientierte Einführung. Springer Spektrum, Berlin, Heidelberg (2024), XIV, 259 pp.

Benner, P.; Mena, H.; Schneider, R.: Numerical Simulation of Aerial Spray Drift: the Ecuador-Colombian Border as a Case of Study. Shaker. ISBN: 978-3-8440-9081-9, Aachen (2023), 188 pp.

Beattie, C.; Benner, P.; Embree, M.; Gugercin, S.; Lefteriu, S. (Eds.): Realization and Model Reduction of Dynamical Systems. Springer International Publishing, Cham (2022), XIX, 460 pp.

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction: Volume I: System- and Data-Driven Methods and Algorithms. De Gruyter, Berlin, Boston (2021)

Benner, P.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Schilders, W.; Silveira, L. M. (Eds.): Model Order Reduction - Volume 2: Snapshot-Based Methods and Algorithms. De Gruyter, Berlin, Boston (2021)