Publications

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Journal Article (208)

  1. Journal Article
    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)
  2. 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)
  3. Journal Article
    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)
  4. 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)
  5. 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)
  6. 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)
  7. 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)
  8. 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 (9)

  1. Book
    Benner, P. (Ed.): System Reduction for Nanoscale IC Design. Springer International Publishing, Cham, Switzerland (2017), 193 pp.
  2. Book
    Benner, P.; Cohen, A.; Ohlberger, M.; Willcox, K. (Eds.): Model Reduction and Approximation. SIAM, Philadelphia (2017), 412 pp.
  3. 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.
  4. 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.
  5. Book
    Benner, P.; Mena, H.; Schneider, R.: Modelo para las aspersiones con glifosato: frontera Ecuador-Colombia. Shaker Verlag, Aachen (2014), 208 pp.
  6. 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.
  7. 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.
  8. Book
    Benner, P.; Hinze, M.; ter Maten, E. J. W. (Eds.): Model Reduction for Circuit Simulation. Springer, Dordrecht (2011), 315 pp.
  9. Book
    Benner, P.; Mehrmann, V.; Danny C., S. (Eds.): Dimension Reduction of Large-Scale Systems. Springer (2005), 395 pp.

Book Chapter (85)

  1. 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)
  2. Book Chapter
    Gosea, I. V.; Pontes Duff, I.; Benner, P.; Antoulas, A. C.: Model Order Reduction of Switched Linear Systems with Constrained Switching. In: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018, pp. 41 - 53 (Eds. Fehr, J.; Haasdonk, B.) (2020)
  3. Book Chapter
    Banagaaya, N.; Feng, L.; Benner, P.: Sparse (P)MOR for Electro-Thermal Coupled Problems with Many Inputs. In: Nanoelectronic Coupled Problems Solutions (Eds. ter Maten, E. J. W.; Brachtendorf, H.-G.; Pulch, R.; Schoenmaer, W.; De Gersem, H.) (accepted)
 
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