Publications of Peter Benner

Benner, P., Quintana-Ortí, E. S., & Quintana-Ortí, G. (2000)Balanced Truncation Model Reduction of Large-Scale Dense Systems on Parallel ComputersMathematical and Computer Modelling of Dynamical Systems, 6 (4), 383–405doi: 10.1076/mcmd.6.4.383.3658.

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

Benner, P., Claver, J., & Quintana-Ortí, E. S. (1999)Parallel Distributed Solvers for Large Stable Generalized Lyapunov EquationsParallel Processing Letters, 9 (1), 147–158doi: 10.1142/S0129626499000165 .

Benner, P., Faßbender, H., & Watkins, D. (1999)SR and SZ Algorithms for the Symplectic (Butterfly) EigenproblemLinear Algebra and its Applications, 287 (1-3), 41–76doi: 10.1016/S0024-3795(98)10090-3.

Benner, P., Mehrmann, V., & Xu, H. (1999)A Note on the Numerical Solution of Complex Hamiltonian and Skew-Hamiltonian Eigenvalue ProblemsElectronic Transactions on Numerical Analysis, 8, 115–126.

Benner, P. & Quintana-Ortí, E. S. (1999)Solving Stable Generalized Lyapunov Equations with the Matrix Sign FunctionNumerical Algorithms, 20 (1), 75–100doi: 10.1023/A:1019191431273.

Benner, P. & Byers, R. (1998)An Exact Line Search Method for Solving Generalized Continuous-Time Algebraic Riccati EquationsIEEE Transactions on Automatic Control, 43 (1), 101–107doi: 10.1109/9.654908.

Benner, P. & Faßbender, H. (1998)The Symplectic Eigenvalue Problem, the Butterfly Form, the SR Algorithm, and the Lanczos MethodLinear Algebra and its Applications, 275-276, 19–47doi: 10.1016/S0024-3795(97)10049-0.

Benner, P., Faßbender, H., & Watkins, D. (1998)Two Connections between the SR and HR Eigenvalue AlgorithmsLinear Algebra and its Applications, 272 (1-3), 17–32doi: 10.1016/S0024-3795(97)00279-6.

Benner, P., Mehrmann, V., & Xu, H. (1998)A Numerically Stable, Structure Preserving Method for Computing the Eigenvalues of Real Hamiltonian or Symplectic PencilsNumerische Mathematik, 78 (3), 329–358doi: 10.1007/s002110050315.

Benner, P. & Faßbender, H. (1997)An Implicitly Restarted Symplectic Lanczos Method for the Hamiltonian Eigenvalue ProblemLinear Algebra and its Applications, 263, 75–111doi: 10.1016/S0024-3795(96)00524-1.

Benner, P., Laub, A. J., & Mehrmann, V. (1997)Benchmarks for the Numerical Solution of Algebraic Riccati EquationsIEEE Control Systems Magazine, 17 (5), 18–28doi: 10.1109/37.621466.

Benner, P., Mehrmann, V., & Xu, H. (1997)A New Method for Computing the Stable Invariant Subspace of a Real Hamiltonian MatrixJournal of Computational and Applied Mathematics, 86 (1), 17–43doi: 10.1016/S0377-0427(97)00146-5.

Ammar, G., Benner, P., & Mehrmann, V. (1993)A Multishift Algorithm for the Numerical Solution of Algebraic Riccati EquationsElectronic Transactions on Numerical Analysis, 1, 33–48.

Benner, P. & Faßbender, H. (2024)Modellreduktion: Eine systemtheoretisch orientierte EinführungXIV, 259Berlin, Heidelberg: Springer Spektrumdoi: 10.1007/978-3-662-67493-2.

Benner, P., Mena, H., & Schneider, R. (2023)Numerical Simulation of Aerial Spray Drift: the Ecuador-Colombian Border as a Case of Study188.

Beattie, C., Benner, P., Embree, M., Gugercin, S., & Lefteriu, S. (Eds.) (2022)Realization and Model Reduction of Dynamical SystemsXIX, 460Cham: Springer International Publishingdoi: 10.1007/978-3-030-95157-3.

Benner, P., Grivet-Talocia, S., Quarteroni, A., Rozza, G., Schilders, W., & Silveira, L. M. (Eds.) (2021)Model Order Reduction: Volume I: System- and Data-Driven Methods and AlgorithmsBerlin, Boston: De Gruyterdoi: 10.1515/9783110498967.

Benner, P., Grivet-Talocia, S., Quarteroni, A., Rozza, G., Schilders, W., & Silveira, L. M. (Eds.) (2021)Model Order Reduction - Volume 2: Snapshot-Based Methods and AlgorithmsBerlin, Boston: De Gruyterdoi: 10.1515/9783110671490.