Working Paper (2018)
Benner Peter and Himpe Christian
By Himpe Christian and Ohlberger Mario
Working Paper (2016)
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.
Himpe C. and Ohlberger M. (2016) Cross-Gramian-Based Model Reduction: A Comparison. Working Paper.