Serkan Gugercin

Journal Publications

  1. B. Peherstorfer, Z. Drmac, and S. Gugercin. "Stabilizing discrete empirical interpolation via randomized and deterministic oversampling". Available as arXiv:1808.10473.

  2. A. Grimm, C.A. Beattie, Z Drmac, and S. Gugercin. "Empirical least-squares fitting of parametrized dynamical systems". Submitted 2018. Available as arXiv:1808.05716.

  3. K. Sinani and S. Gugercin. "H_2(t_f) Optimality Conditions for a Finite-time Horizon". Submitted 2018. Available as arXiv:1806.10797.

  4. B. Unger and S. Gugercin. "Kolmogorov n-widths for linear dynamical systems". Submitted 2018. Available as arXiv:1806.09880.

  5. P. Benner, S. Gugercin, and K. Willcox. "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems." SIAM Review, Vol. 57, Issue: 4, pp. 483—531, 2015.

  6. B. Peherstorfer, S. Gugercin, and K. Willcox. "Data-driven Reduced Model Construction with Time-domain Loewner Models." SIAM Journal on Scientific Computing, Vol. 39, Issue 5, pp. A2152—A2178, 2017.

  7. V. Malladi, M. Albakri, S. Gugercin, P. Tarazaga. "Application of projection-based model reduction to finite-element plate models for two-dimensional traveling waves." Journal of Intelligent Material Systems and Structures, Vol 28, Issue 14, pp. 1886—1904, 2017 .

  8. A. Carracedo Rodriguez, S. Gugercin, and J. Borggaard. "Interpolatory Model Reduction of Parameterized Bilinear Dynamical Systems". Advances in Computational Mathematics, pp. 1—30, 2018.

  9. Z. Tomljanovic, C.A. Beattie, and S. Gugercin. "Damping optimization of parameter dependent mechanical systems by rational interpolation". Advances in Computational Mathematics, pp. 1—24, 2018.

  10. P. Schulze, B. Unger, C. Beattie, and S Gugercin."Data-driven Structured Realization". Linear Algebra and Its Applications, Volume 537, Issue 15, pp. 250—286, 2018.

  11. P. Benner, P. Goyal, and S. Gugercin. "H2 -Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems." SIAM Journal on Matrix Analysis and Applications, Vol. 39 No. 2, pp. 983—1032, 2018.

  12. C. Beattie, S. Gugercin and V. Mehrmann. " Model Reduction for Systems with Inhomogeneous Initial Conditions". Systems and Control Letters, Vol. 99, pp. 99—106, 2017.

  13. M. O'Connell, M. Kilmer, E. de Sturler, and S. Gugercin. "Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography". SIAM Journal on Scientific Computing, Vol. 39, No. 2, pp. B272—B297, 2017.

  14. C. Magruder, C. Beattie, S. Gugercin. "Linear time-periodic dynamical systems: An H2 analysis and a model reduction framework." Mathematical and Computer Modelling of Dynamical Systems, pp. 1—24, 2017

  15. S. Chaturantabut, C. Beattie, and S. Gugercin. "Structure-preserving Model Reduction for Nonlinear Port-Hamiltonian Systems". SIAM Journal on Scientific Computing, Vol. 38, No. 5, pp. B837—B865, 2016.
  16. Z. Drmac and S. Gugercin. "A New Selection Operator for the Discrete Empirical Interpolation Method — improved a priori error bound and extensions." SIAM Journal on Scientific Computing, Vol. 38, No. 2, pp. A631—A648, 2016.

  17. B. Kramer and S. Gugercin. " The Eigensystem Realization Algorithm from Tangentially Interpolated Data". Mathematical and Computer Modelling of Dynamical Systems, Vol. 22, Issue. 4, pp. 282—306, 2016.

  18. Z. Drmac, S. Gugercin and C.A. Beattie. "Vector Fitting for Matrix-valued Rational Approximation." Accepted to appear in SIAM Journal on Scientific Computing 2015.  SIAM Journal on Scientific Computing, Vol. 37, Issue: 5, pp. A2151—S626, 2015.

  19. Z. Drmac, S. Gugercin and C.A. Beattie. "Quadrature-Based Vector Fitting For Discretized H2 Approximation." SIAM Journal on Scientific Computing, Vol. 37, Issue: 2, A625—A652, 2015.

  20. G. Flagg and S. Gugercin. "Multipoint Volterra Series Interpolation and H2 Optimal Model Reduction of Bilinear Systems." SIAM Journal on Matrix Analysis and Applications, Vol. 36, Issue: 2, 549—579, 2015.

  21. E. de Sturler, S. Gugercin, M. E. Kilmer, S. Chaturantabut, C. Beattie, and M. O'Connell. "Nonlinear Parametric Inversion using Interpolatory Model Reduction." SIAM Journal on Scientific Computing, Vol. 37, Issue: 3, B495—B517, 2015.

  22. T. Breiten, C. Beattie, and S. Gugercin. "Near-optimal Frequency-weighted Interpolatory Model Reduction." Systems and Control Letters. Vol. 78, pp. 8—18.

  23. S. Gugercin, T. Stykel, and S. Wyatt. "Model Reduction of Descriptor Systems by Interpolatory Projections Methods." SIAM Journal on Scientific Computing, Vol. 35, Iss. 5, pp. B1010—B1033, 2013.

  24. G. Flagg and S. Gugercin. "On the ADI method for the Sylvester Equation and the optimal-H2 points." Applied Numerical Mathematics, Vol. 64, pp. 50—58, 2013.

  25. B. Anic, C.A. Beattie, S. Gugercin and A.C. Antoulas. "Interpolatory Weighted-H2 Model Reduction." Automatica, Vol. 49, Iss. 5, pp. 1275—1280, 2013.

  26. G. Flagg, C.A. Beattie and S. Gugercin, "Convergence of the Iterative Rational Krylov Algorithm", Systems and Control Letters, Volume: 61, Issue: 6, pp. 688—691, 2012.

  27. G. Flagg, C.A. Beattie and S. Gugercin. "Interpolatory H-infinity Model Reduction," Systems and Control Letters, Vol. 62, Iss. 7, pp. 567—574, 2013.

  28. K. Ahuja, E. de Sturler, R. Chang and S. Gugercin, " Recycling BiCG with an Application to Model Reduction", SIAM Journal on Scientific Computing, Vol. 34, Issue: 4, pp. A1925—A949, 2012.

  29. S. Gugercin, R. V. Polyuga, C.A. Beattie and A. van der Schaft, "Structure-preserving tangential-interpolation based model reduction of port-Hamiltonian Systems." Automatica, Vol. 48, Issue: 9, pp. 1963—1974, 2012.

  30. C.A. Beattie, S. Gugercin, and S. Wyatt, "Inexact Solves in Interpolatory Model Reduction". Linear Algebra and its Applications, Vol. 436, Issue: 8, pp. 2916—2943, 2012.

  31. C.A. Beattie, Z. Drmac, and S. Gugercin, A note on shifted Hessenberg systems and frequency response computation, ACM Transaction on Mathematical Software, Vol 38, No. 2, 2011.

  32. U. Baur, C.A. Beattie, P. Benner and S. Gugercin, "Interpolatory Projection Methods for Parameterized Model Reduction". SIAM Journal on Scientific Computing, Vol. 33, Issue: 5, pp. 2489—2518, 2011.

  33. C.A. Beattie and S. Gugercin, "Interpolatory Projection Methods for Structure-preserving Model Reduction". Systems and Control Letters, Vol. 58, Issue: 3, pp: 225—232, 2009.

  34. S. Gugercin, A.C. Antoulas and C.A. Beattie, "H2 model reduction for large-scale linear dynamical systems". SIAM Journal on Matrix Analysis and Applications Vol. 30, Issue: 2, pp. 609—638, (2008).

  35. S. Gugercin, "An iterative SVD-Krylov based algorithm for model reduction of large-scale dynamical systems", Linear Algebra and its Applications Vol. 428 No: 8—9 pp. 1964-1986 (2008).

  36. S. Gugercin and K. Willcox, "Krylov projection framework for Fourier model reduction", Automatica Vol. 44 No:1 pp. 209—215 (2008) .

  37. S. Gugercin and A.C. Antoulas. "Model reduction of large-scale systems by least squares", Linear Algebra and its Applications, Special Issue on Order Reduction of Large-Scale Systems, Vol. Vol: 415 No:2-3, pp. 290—321 (2006).

  38. S. Gugercin and A.C. Antoulas. A survey of model reduction by balanced truncation and some new results. International Journal of Control, Vol: 77 No: 8, pp. 748—766 (2004) (Copyright Taylor & Francis, 2004)

  39. S. Gugercin, A.C. Antoulas, and H.P. Zhang. "An approach to identification for robust control", IEEE Transactions on Automatic Control, Vol. 48 No: 6 pp. 1109—1115 (2003).

  40. S. Gugercin, D.C. Sorensen, and A.C. Antoulas. "A modified low-rank Smith method for large-scale Lyapunov Equations",  Numerical Algorithms, Vol. 32, No: 1, pp. 27—55, (2003).


  41. A.C. Antoulas, D.C. Sorensen, and S. Gugercin. A survey of model reduction methods for large-scale systems. Structured Matrices in Operator Theory, Numerical Analysis, Control, Signal and Image Processing, Contemporary Mathematics, AMS publications, 280: 193—219, 2001. (Copyright AMS, 2001)

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