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Article: Fast positive-real balanced truncation via quadratic alternating direction implicit iteration

TitleFast positive-real balanced truncation via quadratic alternating direction implicit iteration
Authors
KeywordsAlternating direction implicit (ADI)
Model order reduction (MOR)
Positive-real balanced truncation (PRBT)
Riccati equation
Issue Date2007
PublisherIEEE.
Citation
Ieee Transactions On Computer-Aided Design Of Integrated Circuits And Systems, 2007, v. 26 n. 9, p. 1725-1731 How to Cite?
AbstractBalanced truncation (BT), as applied to date in model order reduction (MOR), is known for its superior accuracy and computable error bounds. Positive-real BT (PRBT) is a particular BT procedure that preserves passivity and stability and imposes no structural constraints on the original state space. However, PRBT requires solving two algebraic Riccati equations (AREs), whose computational complexity limits its practical use in large-scale systems. This paper introduces a novel quadratic extension of the alternating direction implicit (ADI) iteration, which is called quadratic ADI (QADI), that efficiently solves an ARE. A Cholesky factor version of QADI, which is called CEQADI, exploits low-rank matrices and further accelerates PRBT. © 2007 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/57472
ISSN
2015 Impact Factor: 1.181
2015 SCImago Journal Rankings: 0.710
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_HK
dc.contributor.authorBalakrishnan, Ven_HK
dc.date.accessioned2010-04-12T01:37:32Z-
dc.date.available2010-04-12T01:37:32Z-
dc.date.issued2007en_HK
dc.identifier.citationIeee Transactions On Computer-Aided Design Of Integrated Circuits And Systems, 2007, v. 26 n. 9, p. 1725-1731en_HK
dc.identifier.issn0278-0070en_HK
dc.identifier.urihttp://hdl.handle.net/10722/57472-
dc.description.abstractBalanced truncation (BT), as applied to date in model order reduction (MOR), is known for its superior accuracy and computable error bounds. Positive-real BT (PRBT) is a particular BT procedure that preserves passivity and stability and imposes no structural constraints on the original state space. However, PRBT requires solving two algebraic Riccati equations (AREs), whose computational complexity limits its practical use in large-scale systems. This paper introduces a novel quadratic extension of the alternating direction implicit (ADI) iteration, which is called quadratic ADI (QADI), that efficiently solves an ARE. A Cholesky factor version of QADI, which is called CEQADI, exploits low-rank matrices and further accelerates PRBT. © 2007 IEEE.en_HK
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Computer-Aided Design of Integrated Circuits and Systemsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2007 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.subjectAlternating direction implicit (ADI)en_HK
dc.subjectModel order reduction (MOR)en_HK
dc.subjectPositive-real balanced truncation (PRBT)en_HK
dc.subjectRiccati equationen_HK
dc.titleFast positive-real balanced truncation via quadratic alternating direction implicit iterationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0278-0070&volume=26&issue=9&spage=1725&epage=1731&date=2007&atitle=Fast+positive-real+balanced+truncation+via+quadratic+alternating+direction+implicit+iterationen_HK
dc.identifier.emailWong, N:nwong@eee.hku.hken_HK
dc.identifier.authorityWong, N=rp00190en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCAD.2007.895617en_HK
dc.identifier.scopuseid_2-s2.0-34548231081en_HK
dc.identifier.hkuros133599-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34548231081&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume26en_HK
dc.identifier.issue9en_HK
dc.identifier.spage1725en_HK
dc.identifier.epage1731en_HK
dc.identifier.isiWOS:000249309200017-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK
dc.identifier.scopusauthoridBalakrishnan, V=7102659847en_HK

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