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Cross-Gramian-Based Model Reduction: A Comparison

Rapport de rechercheInstitute for Computational and Applied Mathematics, Preprint at arXiv (math.OC) 1606.03954 - june 2016
Télécharger la publication : 1606.03954v1.pdf [551Ko]  
As an alternative to the popular balanced truncation method, the cross Gramian matrix induces a class of balancing model reduction techniques. Besides the classical computation of the cross Gramian by a Sylvester matrix equation, an empirical cross Gramian can be computed based on simulated trajectories. This work assesses the cross Gramian and its empirical Gramian variant for state-space reduction on a procedural benchmark based to the cross Gramian itself.

Références BibTex

@TechReport{HO16,
  author       = {Himpe, C. and Ohlberger, M.},
  title        = {Cross-Gramian-Based Model Reduction: A Comparison},
  institution  = {Institute for Computational and Applied Mathematics},
  month        = {june},
  year         = {2016},
  type         = {Preprint at arXiv (math.OC) 1606.03954},
  keywords     = {Model Reduction, Model Order Reduction, Empirical Gramians, Cross Gramian, Empirical Cross Gramian},
  url          = \{/2016/HO16},
}

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