Korbicz, Józef - red. ; Uciński, Dariusz - red.
Iterative model reduction of large state-space systems
Group publication title:
Subject and Keywords:
model reduction ; iterative methods ; Lyapunov matrix equations ; Hankel operator ; preconditioning ; Hankel singular values
There exist criteria for reducing the order of a large state-space model based on the accuracy of the approximate solutions to the Lyapunov matrix equations and the Hankel operator. Iterative solution techniques for the Lyapunov equations with the Arnoldi method have been proposed in a number of papers. In this paper we derive error bounds for approximations to the solutions to the Lyapunov equations as well as for the Hankel operator that indicate how to precondition while solving these equations iteratively.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 9, number 2 (1999) ; click here to follow the link