Second-Order Model Reduction Based on Gramians

Table 1

Errors of reduced models produced by four different methods.

Model	𝑛	𝑟	𝑚	𝑝	‖ℋ‖2	‖𝜀SVD1‖2/‖ℋ‖2	‖𝜀SVD12‖2/‖ℋ‖2	‖𝜀BT1‖2/‖ℋ‖2	‖𝜀BT12‖2/‖ℋ‖2
Building model	24	4	1	1	4.5e−03	4.1e−01	5.1e−01	3.2e−01	3.2e−01
Clamped beam	174	29	1	1	3.3e+02	3.3e−02	1.3e−01	1.3e−03	5.7e−04
International state space	135	27	3	3	1.0e−04	6.7e−04	1.0e−04	3.2e−06	3.2e−06