Title :
Pade approximation of large-scale dynamic systems with Lanczos methods
Author :
Gallivan, K. ; Grimme, E. ; Van Dooren, P.
Author_Institution :
Coordinated Sci. Lab., Illinois Univ., Urbana, IL, USA
Abstract :
The utility of Lanczos methods (1950) for the approximation of large-scale dynamical systems is considered. In particular, it is shown that the Lanczos method is a technique for yielding Pade approximants which has several advantages over more traditional explicit moment matching approaches. An extension of the Lanczos algorithm is developed for computing multipoint Pade approximations of descriptor systems
Keywords :
approximation theory; large-scale systems; Lanczos methods; descriptor systems; large-scale dynamic systems; multipoint Pade approximations; Approximation algorithms; Computational modeling; Equations; Frequency; Large-scale systems; Reduced order systems; Sparse matrices; State-space methods; Stress; US Department of Energy;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.410886
