ℋ2-Optimal Model Reduction Using Projected Nonlinear Least Squares

@article{Hokanson20202OptimalMR,
  title={ℋ2-Optimal Model Reduction Using Projected Nonlinear Least Squares},
  author={Jeffrey M. Hokanson and Caleb C. Magruder},
  journal={SIAM J. Sci. Comput.},
  year={2020},
  volume={42},
  pages={A4017-A4045}
}
  • Jeffrey M. Hokanson, Caleb C. Magruder
  • Published 2020
  • Computer Science, Mathematics
  • SIAM J. Sci. Comput.
  • In many applications throughout science and engineering, model reduction plays an important role replacing expensive large-scale linear dynamical systems by inexpensive reduced order models that capture key features of the original, full order model. One approach to model reduction is to find reduced order models that are locally optimal approximations in the $\mathcal{H}_2$ norm, an approach taken by the Iterative Rational Krylov Algorithm (IRKA) and several others. Here we introduce a new… CONTINUE READING
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    Revisiting IRKA: Connections with Pole Placement and Backward Stability
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