The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
We present rigorous bounds on the ℌ2 and ℌ∞ norm of the error resulting from model order reduction of second order systems by KRYLOV subspace methods. To this end, we use a strictly dissipative state space realization of the model and perform a factorization of the error system. The derived error expressions are easy to compute and can therefore be applied to models of very high order, as is demonstrated...
New sufficient conditions for ℌ2 pseudo-optimality in Krylov-based model reduction of linear dynamical systems are presented. The conditions are easy to evaluate and permit first applications: a new algorithm to generate ℌ2 pseudo-optimal reduced models with respect to the projecting subspace and a procedure to generate superior local optima in iterative methods. Numerical examples illustrate the...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.