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Conference Paper: Multi-shift quadratic alternating direction implicit iteration for high-speed positive-real balanced truncation

TitleMulti-shift quadratic alternating direction implicit iteration for high-speed positive-real balanced truncation
Authors
KeywordsADI
Balanced truncation
Model order reduction
Positive real
Issue Date2006
Citation
Proceedings - Design Automation Conference, 2006, p. 257-260 How to Cite?
AbstractThis paper presents a multi-shift generalization of the recently proposed quadratic alternating direction implicit (QADI) iteration. QADI and its Cholesky Factor (CF) variant, CFQADI, have been shown to be efficient ways of solving the large-scale algebraic Riccati equations (AREs) required in positive-real balanced truncation (PRBT). However, only their single-shift implementations have been considered so far. Using linear fractional transformation (LFT), we present elegant multi-shift extensions of both QADI and CFQADI, thereby enabling even faster and more accurate PRBT. Copyright 2006 ACM.
Persistent Identifierhttp://hdl.handle.net/10722/99539
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_HK
dc.contributor.authorBalakrishnan, Ven_HK
dc.date.accessioned2010-09-25T18:34:33Z-
dc.date.available2010-09-25T18:34:33Z-
dc.date.issued2006en_HK
dc.identifier.citationProceedings - Design Automation Conference, 2006, p. 257-260en_HK
dc.identifier.issn0738-100Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/99539-
dc.description.abstractThis paper presents a multi-shift generalization of the recently proposed quadratic alternating direction implicit (QADI) iteration. QADI and its Cholesky Factor (CF) variant, CFQADI, have been shown to be efficient ways of solving the large-scale algebraic Riccati equations (AREs) required in positive-real balanced truncation (PRBT). However, only their single-shift implementations have been considered so far. Using linear fractional transformation (LFT), we present elegant multi-shift extensions of both QADI and CFQADI, thereby enabling even faster and more accurate PRBT. Copyright 2006 ACM.en_HK
dc.languageengen_HK
dc.relation.ispartofProceedings - Design Automation Conferenceen_HK
dc.subjectADIen_HK
dc.subjectBalanced truncationen_HK
dc.subjectModel order reductionen_HK
dc.subjectPositive realen_HK
dc.titleMulti-shift quadratic alternating direction implicit iteration for high-speed positive-real balanced truncationen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailWong, N:nwong@eee.hku.hken_HK
dc.identifier.authorityWong, N=rp00190en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1145/1146909.1146976en_HK
dc.identifier.scopuseid_2-s2.0-34547158895en_HK
dc.identifier.hkuros119708en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34547158895&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.spage257en_HK
dc.identifier.epage260en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK
dc.identifier.scopusauthoridBalakrishnan, V=7102659847en_HK

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