TY - GEN
A1 - Huhtanen, Marko
A2 - Korbicz, Józef - red.
A2 - Uciński, Dariusz - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/58171/AMCS_1999_9_2_2.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/58171
KW - model reduction
KW - iterative methods
KW - Lyapunov matrix equations
KW - Hankel operator
KW - preconditioning
KW - Hankel singular values
T1 - Iterative model reduction of large state-space systems
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=58171
ER -