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Journal Article (226)

1998
Journal Article
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)
Journal Article
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)
1997
Journal Article
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)
Journal Article
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)
Journal Article
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)
1993
Journal Article
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)

Book (10)

2020
Book
Benner, P.; Schilders, W.; Grivet-Talocia, S.; Quarteroni, A.; Rozza, G.; Silveira, L. M. (Eds.): Model Order Reduction. De Gruyter (accepted)
2017
Book
Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.
Book
Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham, Switzerland (2017), 193 pp.
Book
Benner, P.; Ohlberger, M.; Patera, A. T.; Rozza, G.; Urban, K. (Eds.): Model Reduction of Parametrized Systems. Springer International Publishing, Cham, Switzerland (2017), 504 pp.
2015
Book
Benner, P.; Bollhöfer, M.; Kressner, D.; Mehl, C.; Stykel, T. (Eds.): Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory. Springer International Publishing, Cham (2015), 608 pp.
2014
Book
Benner, P.; Findeisen, R.; Flockerzi, D.; Reichl, U.; Sundmacher, K. (Eds.): Large-Scale Networks in Engineering and Life Sciences. Springer International Publishing, Switzerland (2014), 388 pp.
Book
Leugering, G.; Benner, P.; Engell, S.; Griewank, A.; Harbrecht, H.; Hinze, M.; Rannacher, R.; Ulbrich, S. (Eds.): Trends in PDE Constrained Optimization. Birkhäuser, Basel (2014), 501 pp.
Book
Benner, P.; Mena, H.; Schneider, R.: Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. Shaker Verlag, Aachen (2014), 208 pp.
2011
Book
Benner, P.; Hinze, M.; ter Maten, E. J. W. (Eds.): Model Reduction for Circuit Simulation. Springer, Dordrecht (2011), 315 pp.
2005
Book
Benner, P.; Mehrmann, V.; Danny C., S. (Eds.): Dimension Reduction of Large-Scale Systems. Springer (2005), 395 pp.

Book Chapter (97)

2020
Book Chapter
Banagaaya, N.; Grundel, S.; Benner, P.: Index-Aware MOR for Gas Transport Networks. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 191 - 207 (Eds. Fehr, J.; Haasdonk, B.). Springer International Publishing, Cham, Switzerland (2020)
Book Chapter
Benner, P.; Faßbender, H.: Model Order Reduction: Techniques and Tools. In: Encyclopedia of Systems and Control (Eds. Baillieul, J.; Samad, T.). Springer, London (accepted)
Book Chapter
Benner, P.; Grundel, S.; Mlinarić, P.: Clustering-Based Model Order Reduction for Nonlinear Network Systems. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
Book Chapter
Benner, P.; Köhler, M.; Saak, J.: Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model Order Reduction. In: Model Reduction of Complex Dynamical Systems (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser / Springer Nature, Chur, Switzerland (accepted)
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