Sie befinden Sich nicht im Netzwerk der Universität Paderborn. Der Zugriff auf elektronische Ressourcen ist gegebenenfalls nur via VPN oder Shibboleth (DFN-AAI) möglich. mehr Informationen...
Approximate solves in Krylov-based modeling methods
Ist Teil von
Proceedings of the 36th IEEE Conference on Decision and Control, 1997, Vol.4, p.3849-3854 vol.4
Ort / Verlag
IEEE
Erscheinungsjahr
1997
Quelle
IEEE Xplore Digital Library
Beschreibungen/Notizen
Rational Krylov methods are potentially one of the most robust and efficient algorithms to compute lower order approximations to linear time invariant dynamical systems that match a specified number of moments of the transfer function at multiple points in the complex plane. The characterization of multipoint rational interpolation in terms of bases of multiple Krylov spaces was developed recently. In this paper, we summarize some results concerning the use of approximate solutions to the linear systems of equations that arise on each step of the method. Such approximations are used to reduce the space and time required to produced the reduced order system.