FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952388180> ?p ?o ?g. }

• W2952388180 abstract "Bilinear dynamical systems are commonly used in science and engineering because they form a bridge between linear and non-linear systems. However, simulating them is still a challenge because of their large size. Hence, a lot of research is currently being done for reducing such bilinear dynamical systems (termed as bilinear model order reduction or bilinear MOR). Bilinear iterative rational Krylov algorithm (BIRKA) is a very popular, standard and mathematically sound algorithm for bilinear MOR, which is based upon interpolatory projection technique. An efficient variant of BIRKA, Truncated BIRKA (or TBIRKA) has also been recently proposed. Like for any MOR algorithm, these two algorithms also require solving multiple linear systems as part of the model reduction process. For reducing very large dynamical systems, which is now-a-days becoming a norm, scaling of such linear systems with respect to input dynamical system size is a bottleneck. For efficiency, these linear systems are often solved by an iterative solver, which introduces approximation errors. Hence, stability analysis of MOR algorithms with respect to inexact linear solves is important. In our past work, we have shown that under mild conditions, BIRKA is stable (in the sense as discussed above). Here, we look at stability of TBIRKA in the same context. Besides deriving the conditions for a stable TBIRKA, our other novel contribution is the more intuitive methodology for achieving this. This approach exploits the fact that in TBIRKA a bilinear dynamical system can be represented by a finite set of functions, which was not possible in BIRKA (because infinite such functions were needed there). The stability analysis techniques that we propose here can be extended to many other methods for doing MOR of bilinear dynamical systems, e.g., using balanced truncation or the ADI methods." @default.
• W2952388180 created "2019-06-27" @default.
• W2952388180 creator A5022117446 @default.
• W2952388180 creator A5068503569 @default.
• W2952388180 date "2019-03-04" @default.
• W2952388180 modified "2023-09-28" @default.
• W2952388180 title "Inexact Linear Solves In Model Reduction of Bilinear Dynamical Systems" @default.
• W2952388180 cites W110690611 @default.
• W2952388180 cites W1459884897 @default.
• W2952388180 cites W1487444668 @default.
• W2952388180 cites W1506342804 @default.
• W2952388180 cites W1551480811 @default.
• W2952388180 cites W1576347883 @default.
• W2952388180 cites W1597839575 @default.
• W2952388180 cites W1760551737 @default.
• W2952388180 cites W1966992674 @default.
• W2952388180 cites W1975714268 @default.
• W2952388180 cites W1985873710 @default.
• W2952388180 cites W2009180289 @default.
• W2952388180 cites W2064610948 @default.
• W2952388180 cites W2094991849 @default.
• W2952388180 cites W2098077093 @default.
• W2952388180 cites W2137874355 @default.
• W2952388180 cites W2158236744 @default.
• W2952388180 cites W2183060642 @default.
• W2952388180 cites W2188836436 @default.
• W2952388180 cites W2279865562 @default.
• W2952388180 cites W2397436697 @default.
• W2952388180 cites W2536108069 @default.
• W2952388180 cites W2542900865 @default.
• W2952388180 cites W2795175481 @default.
• W2952388180 cites W2963997708 @default.
• W2952388180 cites W297328598 @default.
• W2952388180 cites W3105351150 @default.
• W2952388180 cites W570570117 @default.
• W2952388180 hasPublicationYear "2019" @default.
• W2952388180 type Work @default.
• W2952388180 sameAs 2952388180 @default.
• W2952388180 citedByCount "0" @default.
• W2952388180 crossrefType "posted-content" @default.
• W2952388180 hasAuthorship W2952388180A5022117446 @default.
• W2952388180 hasAuthorship W2952388180A5068503569 @default.
• W2952388180 hasConcept C105795698 @default.
• W2952388180 hasConcept C111335779 @default.
• W2952388180 hasConcept C112972136 @default.
• W2952388180 hasConcept C11413529 @default.
• W2952388180 hasConcept C114275822 @default.
• W2952388180 hasConcept C119857082 @default.
• W2952388180 hasConcept C121332964 @default.
• W2952388180 hasConcept C126255220 @default.
• W2952388180 hasConcept C134306372 @default.
• W2952388180 hasConcept C151730666 @default.
• W2952388180 hasConcept C17744445 @default.
• W2952388180 hasConcept C191795146 @default.
• W2952388180 hasConcept C199539241 @default.
• W2952388180 hasConcept C205203396 @default.
• W2952388180 hasConcept C2524010 @default.
• W2952388180 hasConcept C2778770139 @default.
• W2952388180 hasConcept C2779343474 @default.
• W2952388180 hasConcept C28826006 @default.
• W2952388180 hasConcept C33923547 @default.
• W2952388180 hasConcept C41008148 @default.
• W2952388180 hasConcept C62520636 @default.
• W2952388180 hasConcept C6802819 @default.
• W2952388180 hasConcept C79379906 @default.
• W2952388180 hasConcept C86803240 @default.
• W2952388180 hasConceptScore W2952388180C105795698 @default.
• W2952388180 hasConceptScore W2952388180C111335779 @default.
• W2952388180 hasConceptScore W2952388180C112972136 @default.
• W2952388180 hasConceptScore W2952388180C11413529 @default.
• W2952388180 hasConceptScore W2952388180C114275822 @default.
• W2952388180 hasConceptScore W2952388180C119857082 @default.
• W2952388180 hasConceptScore W2952388180C121332964 @default.
• W2952388180 hasConceptScore W2952388180C126255220 @default.
• W2952388180 hasConceptScore W2952388180C134306372 @default.
• W2952388180 hasConceptScore W2952388180C151730666 @default.
• W2952388180 hasConceptScore W2952388180C17744445 @default.
• W2952388180 hasConceptScore W2952388180C191795146 @default.
• W2952388180 hasConceptScore W2952388180C199539241 @default.
• W2952388180 hasConceptScore W2952388180C205203396 @default.
• W2952388180 hasConceptScore W2952388180C2524010 @default.
• W2952388180 hasConceptScore W2952388180C2778770139 @default.
• W2952388180 hasConceptScore W2952388180C2779343474 @default.
• W2952388180 hasConceptScore W2952388180C28826006 @default.
• W2952388180 hasConceptScore W2952388180C33923547 @default.
• W2952388180 hasConceptScore W2952388180C41008148 @default.
• W2952388180 hasConceptScore W2952388180C62520636 @default.
• W2952388180 hasConceptScore W2952388180C6802819 @default.
• W2952388180 hasConceptScore W2952388180C79379906 @default.
• W2952388180 hasConceptScore W2952388180C86803240 @default.
• W2952388180 hasLocation W29523881801 @default.
• W2952388180 hasOpenAccess W2952388180 @default.
• W2952388180 hasPrimaryLocation W29523881801 @default.
• W2952388180 hasRelatedWork W1031836599 @default.
• W2952388180 hasRelatedWork W1510588408 @default.
• W2952388180 hasRelatedWork W1566879544 @default.
• W2952388180 hasRelatedWork W1850626433 @default.
• W2952388180 hasRelatedWork W1873968263 @default.
• W2952388180 hasRelatedWork W2035356899 @default.
• W2952388180 hasRelatedWork W2109761187 @default.

• next